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| |
| <p>SQL functions for evaluating probability functions. |
| <a href="#details">More...</a></p> |
| <table class="memberdecls"> |
| <tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="func-members"></a> |
| Functions</h2></td></tr> |
| <tr class="memitem:aea21a931dc5578a570e3370af3d8d43a"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aea21a931dc5578a570e3370af3d8d43a">bernoulli_cdf</a> (float8 x, float8 sp)</td></tr> |
| <tr class="memdesc:aea21a931dc5578a570e3370af3d8d43a"><td class="mdescLeft"> </td><td class="mdescRight">Bernoulli cumulative distribution function. <a href="#aea21a931dc5578a570e3370af3d8d43a">More...</a><br /></td></tr> |
| <tr class="separator:aea21a931dc5578a570e3370af3d8d43a"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a434b3ad1f3964835834dc2a942b820ef"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a434b3ad1f3964835834dc2a942b820ef">bernoulli_pmf</a> (int4 x, float8 sp)</td></tr> |
| <tr class="memdesc:a434b3ad1f3964835834dc2a942b820ef"><td class="mdescLeft"> </td><td class="mdescRight">Bernoulli probability mass function. <a href="#a434b3ad1f3964835834dc2a942b820ef">More...</a><br /></td></tr> |
| <tr class="separator:a434b3ad1f3964835834dc2a942b820ef"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7133c2e86fd2f6384416ee0e4fd3a60b"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a7133c2e86fd2f6384416ee0e4fd3a60b">bernoulli_quantile</a> (float8 p, float8 sp)</td></tr> |
| <tr class="memdesc:a7133c2e86fd2f6384416ee0e4fd3a60b"><td class="mdescLeft"> </td><td class="mdescRight">Bernoulli quantile function. <a href="#a7133c2e86fd2f6384416ee0e4fd3a60b">More...</a><br /></td></tr> |
| <tr class="separator:a7133c2e86fd2f6384416ee0e4fd3a60b"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a72e1cca872da35592075dbcfb18aed3f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a72e1cca872da35592075dbcfb18aed3f">beta_cdf</a> (float8 x, float8 alpha, float8 beta)</td></tr> |
| <tr class="memdesc:a72e1cca872da35592075dbcfb18aed3f"><td class="mdescLeft"> </td><td class="mdescRight">Beta cumulative distribution function. <a href="#a72e1cca872da35592075dbcfb18aed3f">More...</a><br /></td></tr> |
| <tr class="separator:a72e1cca872da35592075dbcfb18aed3f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa105049e6e3bb9b3891b0ed1b343e28e"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa105049e6e3bb9b3891b0ed1b343e28e">beta_pdf</a> (float8 x, float8 alpha, float8 beta)</td></tr> |
| <tr class="memdesc:aa105049e6e3bb9b3891b0ed1b343e28e"><td class="mdescLeft"> </td><td class="mdescRight">Beta probability density function. <a href="#aa105049e6e3bb9b3891b0ed1b343e28e">More...</a><br /></td></tr> |
| <tr class="separator:aa105049e6e3bb9b3891b0ed1b343e28e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a32433aa742c0504d33e98e28a3e2f190"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a32433aa742c0504d33e98e28a3e2f190">beta_quantile</a> (float8 p, float8 alpha, float8 beta)</td></tr> |
| <tr class="memdesc:a32433aa742c0504d33e98e28a3e2f190"><td class="mdescLeft"> </td><td class="mdescRight">Beta quantile function. <a href="#a32433aa742c0504d33e98e28a3e2f190">More...</a><br /></td></tr> |
| <tr class="separator:a32433aa742c0504d33e98e28a3e2f190"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa5000bad6e2e4af1c8cbfec7ea884476"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa5000bad6e2e4af1c8cbfec7ea884476">binomial_cdf</a> (float8 x, int4 n, float8 sp)</td></tr> |
| <tr class="memdesc:aa5000bad6e2e4af1c8cbfec7ea884476"><td class="mdescLeft"> </td><td class="mdescRight">Binomial cumulative distribution function. <a href="#aa5000bad6e2e4af1c8cbfec7ea884476">More...</a><br /></td></tr> |
| <tr class="separator:aa5000bad6e2e4af1c8cbfec7ea884476"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa0614475b8685bf8e37533d2ac5bb116"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa0614475b8685bf8e37533d2ac5bb116">binomial_pmf</a> (int4 x, int4 n, float8 sp)</td></tr> |
| <tr class="memdesc:aa0614475b8685bf8e37533d2ac5bb116"><td class="mdescLeft"> </td><td class="mdescRight">Binomial probability mass function. <a href="#aa0614475b8685bf8e37533d2ac5bb116">More...</a><br /></td></tr> |
| <tr class="separator:aa0614475b8685bf8e37533d2ac5bb116"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a49f421c58d2e1abd63b83d71af9edf21"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a49f421c58d2e1abd63b83d71af9edf21">binomial_quantile</a> (float8 p, int4 n, float8 sp)</td></tr> |
| <tr class="memdesc:a49f421c58d2e1abd63b83d71af9edf21"><td class="mdescLeft"> </td><td class="mdescRight">Binomial quantile function. <a href="#a49f421c58d2e1abd63b83d71af9edf21">More...</a><br /></td></tr> |
| <tr class="separator:a49f421c58d2e1abd63b83d71af9edf21"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2d8874c2a5679403a473bfedb14467a4"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a2d8874c2a5679403a473bfedb14467a4">cauchy_cdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:a2d8874c2a5679403a473bfedb14467a4"><td class="mdescLeft"> </td><td class="mdescRight">Cauchy cumulative distribution function. <a href="#a2d8874c2a5679403a473bfedb14467a4">More...</a><br /></td></tr> |
| <tr class="separator:a2d8874c2a5679403a473bfedb14467a4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aebfad9365a7fc7a553c3b5c7931f2450"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aebfad9365a7fc7a553c3b5c7931f2450">cauchy_pdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:aebfad9365a7fc7a553c3b5c7931f2450"><td class="mdescLeft"> </td><td class="mdescRight">Cauchy probability density function. <a href="#aebfad9365a7fc7a553c3b5c7931f2450">More...</a><br /></td></tr> |
| <tr class="separator:aebfad9365a7fc7a553c3b5c7931f2450"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae8aa9b741e89c8d9236a682d218006e0"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ae8aa9b741e89c8d9236a682d218006e0">cauchy_quantile</a> (float8 p, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:ae8aa9b741e89c8d9236a682d218006e0"><td class="mdescLeft"> </td><td class="mdescRight">Cauchy quantile function. <a href="#ae8aa9b741e89c8d9236a682d218006e0">More...</a><br /></td></tr> |
| <tr class="separator:ae8aa9b741e89c8d9236a682d218006e0"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a230513b6b549d5b445cbacbdbab42c15"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a230513b6b549d5b445cbacbdbab42c15">chi_squared_cdf</a> (float8 x, float8 df)</td></tr> |
| <tr class="memdesc:a230513b6b549d5b445cbacbdbab42c15"><td class="mdescLeft"> </td><td class="mdescRight">Chi-squared cumulative distribution function. <a href="#a230513b6b549d5b445cbacbdbab42c15">More...</a><br /></td></tr> |
| <tr class="separator:a230513b6b549d5b445cbacbdbab42c15"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a90bccc717d7052e83bafd7f160a783b1"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a90bccc717d7052e83bafd7f160a783b1">chi_squared_pdf</a> (float8 x, float8 df)</td></tr> |
| <tr class="memdesc:a90bccc717d7052e83bafd7f160a783b1"><td class="mdescLeft"> </td><td class="mdescRight">Chi-squared distribution probability density function. <a href="#a90bccc717d7052e83bafd7f160a783b1">More...</a><br /></td></tr> |
| <tr class="separator:a90bccc717d7052e83bafd7f160a783b1"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad125307fe65a33b60f6dd524037d4548"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ad125307fe65a33b60f6dd524037d4548">chi_squared_quantile</a> (float8 p, float8 df)</td></tr> |
| <tr class="memdesc:ad125307fe65a33b60f6dd524037d4548"><td class="mdescLeft"> </td><td class="mdescRight">Chi-squared distribution quantile function. <a href="#ad125307fe65a33b60f6dd524037d4548">More...</a><br /></td></tr> |
| <tr class="separator:ad125307fe65a33b60f6dd524037d4548"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6d1bf6816f56b8e5ba6bf6ca94752f46"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a6d1bf6816f56b8e5ba6bf6ca94752f46">exponential_cdf</a> (float8 x, float8 lambda)</td></tr> |
| <tr class="memdesc:a6d1bf6816f56b8e5ba6bf6ca94752f46"><td class="mdescLeft"> </td><td class="mdescRight">Exponential cumulative distribution function. <a href="#a6d1bf6816f56b8e5ba6bf6ca94752f46">More...</a><br /></td></tr> |
| <tr class="separator:a6d1bf6816f56b8e5ba6bf6ca94752f46"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a18a5458c4bc85f0c4ea321317f90bdbb"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a18a5458c4bc85f0c4ea321317f90bdbb">exponential_pdf</a> (float8 x, float8 lambda)</td></tr> |
| <tr class="memdesc:a18a5458c4bc85f0c4ea321317f90bdbb"><td class="mdescLeft"> </td><td class="mdescRight">Exponential probability density function. <a href="#a18a5458c4bc85f0c4ea321317f90bdbb">More...</a><br /></td></tr> |
| <tr class="separator:a18a5458c4bc85f0c4ea321317f90bdbb"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae3687b8e69a402154b829a6531b1b279"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ae3687b8e69a402154b829a6531b1b279">exponential_quantile</a> (float8 p, float8 lambda)</td></tr> |
| <tr class="memdesc:ae3687b8e69a402154b829a6531b1b279"><td class="mdescLeft"> </td><td class="mdescRight">Exponential quantile function. <a href="#ae3687b8e69a402154b829a6531b1b279">More...</a><br /></td></tr> |
| <tr class="separator:ae3687b8e69a402154b829a6531b1b279"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:acffffe04c15eccd2e88cdac250bccc68"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#acffffe04c15eccd2e88cdac250bccc68">extreme_value_cdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:acffffe04c15eccd2e88cdac250bccc68"><td class="mdescLeft"> </td><td class="mdescRight">Extreme Value cumulative distribution function. <a href="#acffffe04c15eccd2e88cdac250bccc68">More...</a><br /></td></tr> |
| <tr class="separator:acffffe04c15eccd2e88cdac250bccc68"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a03a3494462f4cb8c9fb6212e72b0b2e9"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a03a3494462f4cb8c9fb6212e72b0b2e9">extreme_value_pdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:a03a3494462f4cb8c9fb6212e72b0b2e9"><td class="mdescLeft"> </td><td class="mdescRight">Extreme Value probability density function. <a href="#a03a3494462f4cb8c9fb6212e72b0b2e9">More...</a><br /></td></tr> |
| <tr class="separator:a03a3494462f4cb8c9fb6212e72b0b2e9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aeb5a7d295b83a891774a4fb0ef27c458"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aeb5a7d295b83a891774a4fb0ef27c458">extreme_value_quantile</a> (float8 p, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:aeb5a7d295b83a891774a4fb0ef27c458"><td class="mdescLeft"> </td><td class="mdescRight">Extreme Value quantile function. <a href="#aeb5a7d295b83a891774a4fb0ef27c458">More...</a><br /></td></tr> |
| <tr class="separator:aeb5a7d295b83a891774a4fb0ef27c458"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6c5b3e35531e44098f9d0cbef14cb8a6"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a6c5b3e35531e44098f9d0cbef14cb8a6">fisher_f_cdf</a> (float8 x, float8 df1, float8 df2)</td></tr> |
| <tr class="memdesc:a6c5b3e35531e44098f9d0cbef14cb8a6"><td class="mdescLeft"> </td><td class="mdescRight">Fisher F cumulative distribution function. <a href="#a6c5b3e35531e44098f9d0cbef14cb8a6">More...</a><br /></td></tr> |
| <tr class="separator:a6c5b3e35531e44098f9d0cbef14cb8a6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1c7937426379a8913519a6abc5a38ac2"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a1c7937426379a8913519a6abc5a38ac2">fisher_f_pdf</a> (float8 x, float8 df1, float8 df2)</td></tr> |
| <tr class="memdesc:a1c7937426379a8913519a6abc5a38ac2"><td class="mdescLeft"> </td><td class="mdescRight">Fisher F probability density function. <a href="#a1c7937426379a8913519a6abc5a38ac2">More...</a><br /></td></tr> |
| <tr class="separator:a1c7937426379a8913519a6abc5a38ac2"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab6ed888a5338a0bee9c55edf4d33847f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ab6ed888a5338a0bee9c55edf4d33847f">fisher_f_quantile</a> (float8 p, float8 df1, float8 df2)</td></tr> |
| <tr class="memdesc:ab6ed888a5338a0bee9c55edf4d33847f"><td class="mdescLeft"> </td><td class="mdescRight">Fisher F quantile function. <a href="#ab6ed888a5338a0bee9c55edf4d33847f">More...</a><br /></td></tr> |
| <tr class="separator:ab6ed888a5338a0bee9c55edf4d33847f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab6760b0486bad2f1ab0635eb59404e7c"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ab6760b0486bad2f1ab0635eb59404e7c">gamma_cdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:ab6760b0486bad2f1ab0635eb59404e7c"><td class="mdescLeft"> </td><td class="mdescRight">Gamma cumulative distribution function. <a href="#ab6760b0486bad2f1ab0635eb59404e7c">More...</a><br /></td></tr> |
| <tr class="separator:ab6760b0486bad2f1ab0635eb59404e7c"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6c37e3bda2596accbb46525321a328c4"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a6c37e3bda2596accbb46525321a328c4">gamma_pdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a6c37e3bda2596accbb46525321a328c4"><td class="mdescLeft"> </td><td class="mdescRight">Gamma probability density function. <a href="#a6c37e3bda2596accbb46525321a328c4">More...</a><br /></td></tr> |
| <tr class="separator:a6c37e3bda2596accbb46525321a328c4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ac48bbd491bd34831415705c3a0b7bf29"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ac48bbd491bd34831415705c3a0b7bf29">gamma_quantile</a> (float8 p, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:ac48bbd491bd34831415705c3a0b7bf29"><td class="mdescLeft"> </td><td class="mdescRight">Gamma quantile function. <a href="#ac48bbd491bd34831415705c3a0b7bf29">More...</a><br /></td></tr> |
| <tr class="separator:ac48bbd491bd34831415705c3a0b7bf29"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a00879bdf7d48ceddedb3b4cc33511497"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a00879bdf7d48ceddedb3b4cc33511497">geometric_cdf</a> (float8 x, float8 sp)</td></tr> |
| <tr class="memdesc:a00879bdf7d48ceddedb3b4cc33511497"><td class="mdescLeft"> </td><td class="mdescRight">Geometric cumulative distribution function. <a href="#a00879bdf7d48ceddedb3b4cc33511497">More...</a><br /></td></tr> |
| <tr class="separator:a00879bdf7d48ceddedb3b4cc33511497"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5e08db93bd448a1e2164e106ce5781a4"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a5e08db93bd448a1e2164e106ce5781a4">geometric_pmf</a> (int4 x, float8 sp)</td></tr> |
| <tr class="memdesc:a5e08db93bd448a1e2164e106ce5781a4"><td class="mdescLeft"> </td><td class="mdescRight">Geometric probability mass function. <a href="#a5e08db93bd448a1e2164e106ce5781a4">More...</a><br /></td></tr> |
| <tr class="separator:a5e08db93bd448a1e2164e106ce5781a4"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a62674ca958aec0533cdf0a74a1dadea9"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a62674ca958aec0533cdf0a74a1dadea9">geometric_quantile</a> (float8 p, float8 sp)</td></tr> |
| <tr class="memdesc:a62674ca958aec0533cdf0a74a1dadea9"><td class="mdescLeft"> </td><td class="mdescRight">Geometric quantile function. <a href="#a62674ca958aec0533cdf0a74a1dadea9">More...</a><br /></td></tr> |
| <tr class="separator:a62674ca958aec0533cdf0a74a1dadea9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5c48e7fa2fc7bcbc69c7f4da663d457f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a5c48e7fa2fc7bcbc69c7f4da663d457f">hypergeometric_cdf</a> (float8 x, int4 r, int4 n, int4 N)</td></tr> |
| <tr class="memdesc:a5c48e7fa2fc7bcbc69c7f4da663d457f"><td class="mdescLeft"> </td><td class="mdescRight">Hypergeometric cumulative distribution function. <a href="#a5c48e7fa2fc7bcbc69c7f4da663d457f">More...</a><br /></td></tr> |
| <tr class="separator:a5c48e7fa2fc7bcbc69c7f4da663d457f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afbd2f8d9fb30fb179f59cc14f1fd8d6d"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#afbd2f8d9fb30fb179f59cc14f1fd8d6d">hypergeometric_pmf</a> (int4 x, int4 r, int4 n, int4 N)</td></tr> |
| <tr class="memdesc:afbd2f8d9fb30fb179f59cc14f1fd8d6d"><td class="mdescLeft"> </td><td class="mdescRight">Hypergeometric probability mass function. <a href="#afbd2f8d9fb30fb179f59cc14f1fd8d6d">More...</a><br /></td></tr> |
| <tr class="separator:afbd2f8d9fb30fb179f59cc14f1fd8d6d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a813cc27fe097e797ed0fb6022c7bb79a"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a813cc27fe097e797ed0fb6022c7bb79a">hypergeometric_quantile</a> (float8 p, int4 r, int4 n, int4 N)</td></tr> |
| <tr class="memdesc:a813cc27fe097e797ed0fb6022c7bb79a"><td class="mdescLeft"> </td><td class="mdescRight">Hypergeometric quantile function. <a href="#a813cc27fe097e797ed0fb6022c7bb79a">More...</a><br /></td></tr> |
| <tr class="separator:a813cc27fe097e797ed0fb6022c7bb79a"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a85e9c16aa2c6973ddeb7883a5f153d93"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a85e9c16aa2c6973ddeb7883a5f153d93">inverse_gamma_cdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a85e9c16aa2c6973ddeb7883a5f153d93"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Gamma cumulative distribution function. <a href="#a85e9c16aa2c6973ddeb7883a5f153d93">More...</a><br /></td></tr> |
| <tr class="separator:a85e9c16aa2c6973ddeb7883a5f153d93"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a126211c2172a43a654288fa72a2349f9"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a126211c2172a43a654288fa72a2349f9">inverse_gamma_pdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a126211c2172a43a654288fa72a2349f9"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Gamma probability density function. <a href="#a126211c2172a43a654288fa72a2349f9">More...</a><br /></td></tr> |
| <tr class="separator:a126211c2172a43a654288fa72a2349f9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5876aae01f14729866d4fd52918a65ba"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a5876aae01f14729866d4fd52918a65ba">inverse_gamma_quantile</a> (float8 p, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a5876aae01f14729866d4fd52918a65ba"><td class="mdescLeft"> </td><td class="mdescRight">Inverse Gamma quantile function. <a href="#a5876aae01f14729866d4fd52918a65ba">More...</a><br /></td></tr> |
| <tr class="separator:a5876aae01f14729866d4fd52918a65ba"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aeef43f74f583bdff17bd074d9c0d9607"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aeef43f74f583bdff17bd074d9c0d9607">kolmogorov_cdf</a> (float8 x)</td></tr> |
| <tr class="memdesc:aeef43f74f583bdff17bd074d9c0d9607"><td class="mdescLeft"> </td><td class="mdescRight">Kolmogorov cumulative distribution function. <a href="#aeef43f74f583bdff17bd074d9c0d9607">More...</a><br /></td></tr> |
| <tr class="separator:aeef43f74f583bdff17bd074d9c0d9607"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a64e197de8da3761acdeec9db7e211703"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a64e197de8da3761acdeec9db7e211703">laplace_cdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:a64e197de8da3761acdeec9db7e211703"><td class="mdescLeft"> </td><td class="mdescRight">Laplace cumulative distribution function. <a href="#a64e197de8da3761acdeec9db7e211703">More...</a><br /></td></tr> |
| <tr class="separator:a64e197de8da3761acdeec9db7e211703"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a750278ad29d514793f76e159b773f410"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a750278ad29d514793f76e159b773f410">laplace_pdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:a750278ad29d514793f76e159b773f410"><td class="mdescLeft"> </td><td class="mdescRight">Laplace probability density function. <a href="#a750278ad29d514793f76e159b773f410">More...</a><br /></td></tr> |
| <tr class="separator:a750278ad29d514793f76e159b773f410"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a77f94fc43d4777fc4f68d18e29454a81"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a77f94fc43d4777fc4f68d18e29454a81">laplace_quantile</a> (float8 p, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:a77f94fc43d4777fc4f68d18e29454a81"><td class="mdescLeft"> </td><td class="mdescRight">Laplace quantile function. <a href="#a77f94fc43d4777fc4f68d18e29454a81">More...</a><br /></td></tr> |
| <tr class="separator:a77f94fc43d4777fc4f68d18e29454a81"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a140f674876813d5e786a4d8ba8d75c87"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a140f674876813d5e786a4d8ba8d75c87">logistic_cdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:a140f674876813d5e786a4d8ba8d75c87"><td class="mdescLeft"> </td><td class="mdescRight">Logistic cumulative distribution function. <a href="#a140f674876813d5e786a4d8ba8d75c87">More...</a><br /></td></tr> |
| <tr class="separator:a140f674876813d5e786a4d8ba8d75c87"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afa38eb6c61d3c9825d5c172e6c17dbf7"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#afa38eb6c61d3c9825d5c172e6c17dbf7">logistic_pdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:afa38eb6c61d3c9825d5c172e6c17dbf7"><td class="mdescLeft"> </td><td class="mdescRight">Logistic probability density function. <a href="#afa38eb6c61d3c9825d5c172e6c17dbf7">More...</a><br /></td></tr> |
| <tr class="separator:afa38eb6c61d3c9825d5c172e6c17dbf7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5a77a0bc5884af2a914a955174892ae2"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a5a77a0bc5884af2a914a955174892ae2">logistic_quantile</a> (float8 p, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>, float8 scale)</td></tr> |
| <tr class="memdesc:a5a77a0bc5884af2a914a955174892ae2"><td class="mdescLeft"> </td><td class="mdescRight">Logistic quantile function. <a href="#a5a77a0bc5884af2a914a955174892ae2">More...</a><br /></td></tr> |
| <tr class="separator:a5a77a0bc5884af2a914a955174892ae2"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4c05b347f8feb64e1236d21b850af61e"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a4c05b347f8feb64e1236d21b850af61e">lognormal_cdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:a4c05b347f8feb64e1236d21b850af61e"><td class="mdescLeft"> </td><td class="mdescRight">Log-normal cumulative distribution function. <a href="#a4c05b347f8feb64e1236d21b850af61e">More...</a><br /></td></tr> |
| <tr class="separator:a4c05b347f8feb64e1236d21b850af61e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7370b797bf450f9aa54d4fea4d64d611"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a7370b797bf450f9aa54d4fea4d64d611">lognormal_pdf</a> (float8 x, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:a7370b797bf450f9aa54d4fea4d64d611"><td class="mdescLeft"> </td><td class="mdescRight">Log-normal probability density function. <a href="#a7370b797bf450f9aa54d4fea4d64d611">More...</a><br /></td></tr> |
| <tr class="separator:a7370b797bf450f9aa54d4fea4d64d611"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aab3a6de990ae5a81834274a1cf9cad8f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aab3a6de990ae5a81834274a1cf9cad8f">lognormal_quantile</a> (float8 p, float8 location, float8 scale)</td></tr> |
| <tr class="memdesc:aab3a6de990ae5a81834274a1cf9cad8f"><td class="mdescLeft"> </td><td class="mdescRight">Log-normal quantile function. <a href="#aab3a6de990ae5a81834274a1cf9cad8f">More...</a><br /></td></tr> |
| <tr class="separator:aab3a6de990ae5a81834274a1cf9cad8f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad0a7e4474f828869fb90e62f8e6f04d7"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ad0a7e4474f828869fb90e62f8e6f04d7">negative_binomial_cdf</a> (float8 x, float8 r, float8 sp)</td></tr> |
| <tr class="memdesc:ad0a7e4474f828869fb90e62f8e6f04d7"><td class="mdescLeft"> </td><td class="mdescRight">Negative binomial cumulative distribution function. <a href="#ad0a7e4474f828869fb90e62f8e6f04d7">More...</a><br /></td></tr> |
| <tr class="separator:ad0a7e4474f828869fb90e62f8e6f04d7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab9cbc30424eba30f2df2a32a7e45f138"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ab9cbc30424eba30f2df2a32a7e45f138">negative_binomial_pmf</a> (int4 x, float8 r, float8 sp)</td></tr> |
| <tr class="memdesc:ab9cbc30424eba30f2df2a32a7e45f138"><td class="mdescLeft"> </td><td class="mdescRight">Negative binomial probability mass function. <a href="#ab9cbc30424eba30f2df2a32a7e45f138">More...</a><br /></td></tr> |
| <tr class="separator:ab9cbc30424eba30f2df2a32a7e45f138"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad9e541de8b41da2e7b7434f862db4845"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ad9e541de8b41da2e7b7434f862db4845">negative_binomial_quantile</a> (float8 p, float8 r, float8 sp)</td></tr> |
| <tr class="memdesc:ad9e541de8b41da2e7b7434f862db4845"><td class="mdescLeft"> </td><td class="mdescRight">Negative binomial quantile function. <a href="#ad9e541de8b41da2e7b7434f862db4845">More...</a><br /></td></tr> |
| <tr class="separator:ad9e541de8b41da2e7b7434f862db4845"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1361569bd86e41f796c70f8cb277010e"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a1361569bd86e41f796c70f8cb277010e">non_central_beta_cdf</a> (float8 x, float8 alpha, float8 beta, float8 ncp)</td></tr> |
| <tr class="memdesc:a1361569bd86e41f796c70f8cb277010e"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral beta cumulative distribution function. <a href="#a1361569bd86e41f796c70f8cb277010e">More...</a><br /></td></tr> |
| <tr class="separator:a1361569bd86e41f796c70f8cb277010e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad4a12c083054f0e2d316ae76c9aaeef7"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ad4a12c083054f0e2d316ae76c9aaeef7">non_central_beta_pdf</a> (float8 x, float8 alpha, float8 beta, float8 ncp)</td></tr> |
| <tr class="memdesc:ad4a12c083054f0e2d316ae76c9aaeef7"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral beta probability density function. <a href="#ad4a12c083054f0e2d316ae76c9aaeef7">More...</a><br /></td></tr> |
| <tr class="separator:ad4a12c083054f0e2d316ae76c9aaeef7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3073b409eaee3faa6d43df014662c279"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a3073b409eaee3faa6d43df014662c279">non_central_beta_quantile</a> (float8 p, float8 alpha, float8 beta, float8 ncp)</td></tr> |
| <tr class="memdesc:a3073b409eaee3faa6d43df014662c279"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral beta quantile function. <a href="#a3073b409eaee3faa6d43df014662c279">More...</a><br /></td></tr> |
| <tr class="separator:a3073b409eaee3faa6d43df014662c279"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab4b7d2cf10bb031328dcc34c6ff494ad"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ab4b7d2cf10bb031328dcc34c6ff494ad">non_central_chi_squared_cdf</a> (float8 x, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:ab4b7d2cf10bb031328dcc34c6ff494ad"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral chi-squared cumulative distribution function. <a href="#ab4b7d2cf10bb031328dcc34c6ff494ad">More...</a><br /></td></tr> |
| <tr class="separator:ab4b7d2cf10bb031328dcc34c6ff494ad"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa7a563183224593d1e0d623a3c5489d8"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa7a563183224593d1e0d623a3c5489d8">non_central_chi_squared_pdf</a> (float8 x, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:aa7a563183224593d1e0d623a3c5489d8"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral chi-squared distribution probability density function. <a href="#aa7a563183224593d1e0d623a3c5489d8">More...</a><br /></td></tr> |
| <tr class="separator:aa7a563183224593d1e0d623a3c5489d8"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ad694e29187b629ae683ef1235d2b9270"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ad694e29187b629ae683ef1235d2b9270">non_central_chi_squared_quantile</a> (float8 p, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:ad694e29187b629ae683ef1235d2b9270"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral chi-squared distribution quantile function. <a href="#ad694e29187b629ae683ef1235d2b9270">More...</a><br /></td></tr> |
| <tr class="separator:ad694e29187b629ae683ef1235d2b9270"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a00051df630007b530ce86b4ab44a0434"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a00051df630007b530ce86b4ab44a0434">non_central_f_cdf</a> (float8 x, float8 df1, float8 df2, float8 ncp)</td></tr> |
| <tr class="memdesc:a00051df630007b530ce86b4ab44a0434"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Fisher F cumulative distribution function. <a href="#a00051df630007b530ce86b4ab44a0434">More...</a><br /></td></tr> |
| <tr class="separator:a00051df630007b530ce86b4ab44a0434"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a3d94edcf90fca1fa52671293a9ea9c2f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a3d94edcf90fca1fa52671293a9ea9c2f">non_central_f_pdf</a> (float8 x, float8 df1, float8 df2, float8 ncp)</td></tr> |
| <tr class="memdesc:a3d94edcf90fca1fa52671293a9ea9c2f"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Fisher F probability density function. <a href="#a3d94edcf90fca1fa52671293a9ea9c2f">More...</a><br /></td></tr> |
| <tr class="separator:a3d94edcf90fca1fa52671293a9ea9c2f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a92b2a978db480a6c78cfb708107ecb92"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a92b2a978db480a6c78cfb708107ecb92">non_central_f_quantile</a> (float8 p, float8 df1, float8 df2, float8 ncp)</td></tr> |
| <tr class="memdesc:a92b2a978db480a6c78cfb708107ecb92"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Fisher F quantile function. <a href="#a92b2a978db480a6c78cfb708107ecb92">More...</a><br /></td></tr> |
| <tr class="separator:a92b2a978db480a6c78cfb708107ecb92"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:afaf4374d2720b230a54713e21ecb1955"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#afaf4374d2720b230a54713e21ecb1955">non_central_t_cdf</a> (float8 x, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:afaf4374d2720b230a54713e21ecb1955"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Student-t cumulative distribution function. <a href="#afaf4374d2720b230a54713e21ecb1955">More...</a><br /></td></tr> |
| <tr class="separator:afaf4374d2720b230a54713e21ecb1955"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4799e3bb68a496d9bc1ef1ea85265409"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a4799e3bb68a496d9bc1ef1ea85265409">non_central_t_pdf</a> (float8 x, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:a4799e3bb68a496d9bc1ef1ea85265409"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Student-t probability density function. <a href="#a4799e3bb68a496d9bc1ef1ea85265409">More...</a><br /></td></tr> |
| <tr class="separator:a4799e3bb68a496d9bc1ef1ea85265409"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:af50865aba2ece2e23b2af461a02f7d12"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#af50865aba2ece2e23b2af461a02f7d12">non_central_t_quantile</a> (float8 p, float8 df, float8 ncp)</td></tr> |
| <tr class="memdesc:af50865aba2ece2e23b2af461a02f7d12"><td class="mdescLeft"> </td><td class="mdescRight">Noncentral Student-t quantile function. <a href="#af50865aba2ece2e23b2af461a02f7d12">More...</a><br /></td></tr> |
| <tr class="separator:af50865aba2ece2e23b2af461a02f7d12"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aebcd34ad7b1ca4b31d9699112c9a3b90"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aebcd34ad7b1ca4b31d9699112c9a3b90">normal_cdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>=0, float8 sd=1)</td></tr> |
| <tr class="memdesc:aebcd34ad7b1ca4b31d9699112c9a3b90"><td class="mdescLeft"> </td><td class="mdescRight">Normal cumulative distribution function. <a href="#aebcd34ad7b1ca4b31d9699112c9a3b90">More...</a><br /></td></tr> |
| <tr class="separator:aebcd34ad7b1ca4b31d9699112c9a3b90"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a370e31a46781ed8832b31625a683d053"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a370e31a46781ed8832b31625a683d053">normal_cdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="separator:a370e31a46781ed8832b31625a683d053"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a6c0a499faa80db26c0178f1e69cf7a50"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a6c0a499faa80db26c0178f1e69cf7a50">normal_cdf</a> (float8 x)</td></tr> |
| <tr class="separator:a6c0a499faa80db26c0178f1e69cf7a50"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a63f555f36385d86e229cdca223e39567"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a63f555f36385d86e229cdca223e39567">normal_pdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>=0, float8 sd=1)</td></tr> |
| <tr class="memdesc:a63f555f36385d86e229cdca223e39567"><td class="mdescLeft"> </td><td class="mdescRight">Normal probability density function. <a href="#a63f555f36385d86e229cdca223e39567">More...</a><br /></td></tr> |
| <tr class="separator:a63f555f36385d86e229cdca223e39567"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4ee303e56677465989c30230c7f55004"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a4ee303e56677465989c30230c7f55004">normal_pdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="separator:a4ee303e56677465989c30230c7f55004"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a2836483a456c4bf2c9886763b270317e"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a2836483a456c4bf2c9886763b270317e">normal_pdf</a> (float8 x)</td></tr> |
| <tr class="separator:a2836483a456c4bf2c9886763b270317e"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a53d56b672fe4cd1277cb5eac5de5118f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a53d56b672fe4cd1277cb5eac5de5118f">normal_quantile</a> (float8 p, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>=0, float8 sd=1)</td></tr> |
| <tr class="memdesc:a53d56b672fe4cd1277cb5eac5de5118f"><td class="mdescLeft"> </td><td class="mdescRight">Normal quantile function. <a href="#a53d56b672fe4cd1277cb5eac5de5118f">More...</a><br /></td></tr> |
| <tr class="separator:a53d56b672fe4cd1277cb5eac5de5118f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a1b1f9d685f262ade8863ab3a1632b8d6"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a1b1f9d685f262ade8863ab3a1632b8d6">normal_quantile</a> (float8 p, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="separator:a1b1f9d685f262ade8863ab3a1632b8d6"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a643bb4b6b880b96cf924c16e08b015d3"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a643bb4b6b880b96cf924c16e08b015d3">normal_quantile</a> (float8 p)</td></tr> |
| <tr class="separator:a643bb4b6b880b96cf924c16e08b015d3"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa1a42ebd68f20f65bc1784b427721b5d"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa1a42ebd68f20f65bc1784b427721b5d">pareto_cdf</a> (float8 x, float8 scale, float8 shape)</td></tr> |
| <tr class="memdesc:aa1a42ebd68f20f65bc1784b427721b5d"><td class="mdescLeft"> </td><td class="mdescRight">Pareto cumulative distribution function. <a href="#aa1a42ebd68f20f65bc1784b427721b5d">More...</a><br /></td></tr> |
| <tr class="separator:aa1a42ebd68f20f65bc1784b427721b5d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a22c56a6e48bc442435b13afac2a1eb37"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a22c56a6e48bc442435b13afac2a1eb37">pareto_pdf</a> (float8 x, float8 scale, float8 shape)</td></tr> |
| <tr class="memdesc:a22c56a6e48bc442435b13afac2a1eb37"><td class="mdescLeft"> </td><td class="mdescRight">Pareto probability density function. <a href="#a22c56a6e48bc442435b13afac2a1eb37">More...</a><br /></td></tr> |
| <tr class="separator:a22c56a6e48bc442435b13afac2a1eb37"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a77779e2b5fa951189ccba6806c503c4d"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a77779e2b5fa951189ccba6806c503c4d">pareto_quantile</a> (float8 p, float8 scale, float8 shape)</td></tr> |
| <tr class="memdesc:a77779e2b5fa951189ccba6806c503c4d"><td class="mdescLeft"> </td><td class="mdescRight">Pareto quantile function. <a href="#a77779e2b5fa951189ccba6806c503c4d">More...</a><br /></td></tr> |
| <tr class="separator:a77779e2b5fa951189ccba6806c503c4d"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ae0b4313d9fe730d6efb3f7c44206f345"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ae0b4313d9fe730d6efb3f7c44206f345">poisson_cdf</a> (float8 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="memdesc:ae0b4313d9fe730d6efb3f7c44206f345"><td class="mdescLeft"> </td><td class="mdescRight">Poisson cumulative distribution function. <a href="#ae0b4313d9fe730d6efb3f7c44206f345">More...</a><br /></td></tr> |
| <tr class="separator:ae0b4313d9fe730d6efb3f7c44206f345"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a82f1edc27261021c73cd080ff2677a9f"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a82f1edc27261021c73cd080ff2677a9f">poisson_pmf</a> (int4 x, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="memdesc:a82f1edc27261021c73cd080ff2677a9f"><td class="mdescLeft"> </td><td class="mdescRight">Poisson probability mass function. <a href="#a82f1edc27261021c73cd080ff2677a9f">More...</a><br /></td></tr> |
| <tr class="separator:a82f1edc27261021c73cd080ff2677a9f"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a032d26db18b2ee1034085f5521939c61"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a032d26db18b2ee1034085f5521939c61">poisson_quantile</a> (float8 p, float8 <a class="el" href="svec__util_8sql__in.html#a546b947319c9f48237120a31929bdfd9">mean</a>)</td></tr> |
| <tr class="memdesc:a032d26db18b2ee1034085f5521939c61"><td class="mdescLeft"> </td><td class="mdescRight">Poisson quantile function. <a href="#a032d26db18b2ee1034085f5521939c61">More...</a><br /></td></tr> |
| <tr class="separator:a032d26db18b2ee1034085f5521939c61"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aab0ddb8a5348cfa387d777043a3cb6d0"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aab0ddb8a5348cfa387d777043a3cb6d0">rayleigh_cdf</a> (float8 x, float8 scale)</td></tr> |
| <tr class="memdesc:aab0ddb8a5348cfa387d777043a3cb6d0"><td class="mdescLeft"> </td><td class="mdescRight">Rayleigh cumulative distribution function. <a href="#aab0ddb8a5348cfa387d777043a3cb6d0">More...</a><br /></td></tr> |
| <tr class="separator:aab0ddb8a5348cfa387d777043a3cb6d0"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a798541736d9255bdd5c0bd94924d47bc"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a798541736d9255bdd5c0bd94924d47bc">rayleigh_pdf</a> (float8 x, float8 scale)</td></tr> |
| <tr class="memdesc:a798541736d9255bdd5c0bd94924d47bc"><td class="mdescLeft"> </td><td class="mdescRight">Rayleigh probability density function. <a href="#a798541736d9255bdd5c0bd94924d47bc">More...</a><br /></td></tr> |
| <tr class="separator:a798541736d9255bdd5c0bd94924d47bc"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:acd6757acab1683c735e2b57901494336"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#acd6757acab1683c735e2b57901494336">rayleigh_quantile</a> (float8 p, float8 scale)</td></tr> |
| <tr class="memdesc:acd6757acab1683c735e2b57901494336"><td class="mdescLeft"> </td><td class="mdescRight">Rayleigh quantile function. <a href="#acd6757acab1683c735e2b57901494336">More...</a><br /></td></tr> |
| <tr class="separator:acd6757acab1683c735e2b57901494336"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a5322531131074c23a2dbf067ee504ef7"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a5322531131074c23a2dbf067ee504ef7">students_t_cdf</a> (float8 x, float8 df)</td></tr> |
| <tr class="memdesc:a5322531131074c23a2dbf067ee504ef7"><td class="mdescLeft"> </td><td class="mdescRight">Student's t cumulative distribution function. <a href="#a5322531131074c23a2dbf067ee504ef7">More...</a><br /></td></tr> |
| <tr class="separator:a5322531131074c23a2dbf067ee504ef7"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a8815c21670fff9d31946553a84b845b1"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a8815c21670fff9d31946553a84b845b1">students_t_pdf</a> (float8 x, float8 df)</td></tr> |
| <tr class="memdesc:a8815c21670fff9d31946553a84b845b1"><td class="mdescLeft"> </td><td class="mdescRight">Student's t probability density function. <a href="#a8815c21670fff9d31946553a84b845b1">More...</a><br /></td></tr> |
| <tr class="separator:a8815c21670fff9d31946553a84b845b1"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a7d64add02af21a95d73502b2dd466a75"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a7d64add02af21a95d73502b2dd466a75">students_t_quantile</a> (float8 p, float8 df)</td></tr> |
| <tr class="memdesc:a7d64add02af21a95d73502b2dd466a75"><td class="mdescLeft"> </td><td class="mdescRight">Student's t quantile function. <a href="#a7d64add02af21a95d73502b2dd466a75">More...</a><br /></td></tr> |
| <tr class="separator:a7d64add02af21a95d73502b2dd466a75"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:abf9c7d870bcfe68cacaa421749bbdf35"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#abf9c7d870bcfe68cacaa421749bbdf35">triangular_cdf</a> (float8 x, float8 lower, float8 <a class="el" href="utilities_8sql__in.html#ac25ef90f8a8e2f9b2244a57d92086c91">mode</a>, float8 upper)</td></tr> |
| <tr class="memdesc:abf9c7d870bcfe68cacaa421749bbdf35"><td class="mdescLeft"> </td><td class="mdescRight">Triangular cumulative distribution function. <a href="#abf9c7d870bcfe68cacaa421749bbdf35">More...</a><br /></td></tr> |
| <tr class="separator:abf9c7d870bcfe68cacaa421749bbdf35"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a0c511b9748b2f7a21fe56aaf5f66d188"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a0c511b9748b2f7a21fe56aaf5f66d188">triangular_pdf</a> (float8 x, float8 lower, float8 <a class="el" href="utilities_8sql__in.html#ac25ef90f8a8e2f9b2244a57d92086c91">mode</a>, float8 upper)</td></tr> |
| <tr class="memdesc:a0c511b9748b2f7a21fe56aaf5f66d188"><td class="mdescLeft"> </td><td class="mdescRight">Triangular probability density function. <a href="#a0c511b9748b2f7a21fe56aaf5f66d188">More...</a><br /></td></tr> |
| <tr class="separator:a0c511b9748b2f7a21fe56aaf5f66d188"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a4777540ab1b003ff92d484c4bc26af27"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a4777540ab1b003ff92d484c4bc26af27">triangular_quantile</a> (float8 p, float8 lower, float8 <a class="el" href="utilities_8sql__in.html#ac25ef90f8a8e2f9b2244a57d92086c91">mode</a>, float8 upper)</td></tr> |
| <tr class="memdesc:a4777540ab1b003ff92d484c4bc26af27"><td class="mdescLeft"> </td><td class="mdescRight">Triangular quantile function. <a href="#a4777540ab1b003ff92d484c4bc26af27">More...</a><br /></td></tr> |
| <tr class="separator:a4777540ab1b003ff92d484c4bc26af27"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa3a05f4f2e0ef9eb65e828261ecfbed9"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa3a05f4f2e0ef9eb65e828261ecfbed9">uniform_cdf</a> (float8 x, float8 lower, float8 upper)</td></tr> |
| <tr class="memdesc:aa3a05f4f2e0ef9eb65e828261ecfbed9"><td class="mdescLeft"> </td><td class="mdescRight">Uniform cumulative distribution function. <a href="#aa3a05f4f2e0ef9eb65e828261ecfbed9">More...</a><br /></td></tr> |
| <tr class="separator:aa3a05f4f2e0ef9eb65e828261ecfbed9"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:ab90fa34d90a9c75747a34c3f210df239"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#ab90fa34d90a9c75747a34c3f210df239">uniform_pdf</a> (float8 x, float8 lower, float8 upper)</td></tr> |
| <tr class="memdesc:ab90fa34d90a9c75747a34c3f210df239"><td class="mdescLeft"> </td><td class="mdescRight">Uniform probability density function. <a href="#ab90fa34d90a9c75747a34c3f210df239">More...</a><br /></td></tr> |
| <tr class="separator:ab90fa34d90a9c75747a34c3f210df239"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a629587a0fdefb588d28b15517ae5cc04"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a629587a0fdefb588d28b15517ae5cc04">uniform_quantile</a> (float8 p, float8 lower, float8 upper)</td></tr> |
| <tr class="memdesc:a629587a0fdefb588d28b15517ae5cc04"><td class="mdescLeft"> </td><td class="mdescRight">Uniform quantile function. <a href="#a629587a0fdefb588d28b15517ae5cc04">More...</a><br /></td></tr> |
| <tr class="separator:a629587a0fdefb588d28b15517ae5cc04"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a50e4a1883588cd7a4c1ff1017399e4af"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a50e4a1883588cd7a4c1ff1017399e4af">weibull_cdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a50e4a1883588cd7a4c1ff1017399e4af"><td class="mdescLeft"> </td><td class="mdescRight">Weibull cumulative distribution function. <a href="#a50e4a1883588cd7a4c1ff1017399e4af">More...</a><br /></td></tr> |
| <tr class="separator:a50e4a1883588cd7a4c1ff1017399e4af"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:a81a876ae2b8598f060dadb179b9324d2"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#a81a876ae2b8598f060dadb179b9324d2">weibull_pdf</a> (float8 x, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:a81a876ae2b8598f060dadb179b9324d2"><td class="mdescLeft"> </td><td class="mdescRight">Weibull probability density function. <a href="#a81a876ae2b8598f060dadb179b9324d2">More...</a><br /></td></tr> |
| <tr class="separator:a81a876ae2b8598f060dadb179b9324d2"><td class="memSeparator" colspan="2"> </td></tr> |
| <tr class="memitem:aa544631ddeb7a5c06b995b4383c3b612"><td class="memItemLeft" align="right" valign="top">float8 </td><td class="memItemRight" valign="bottom"><a class="el" href="prob_8sql__in.html#aa544631ddeb7a5c06b995b4383c3b612">weibull_quantile</a> (float8 p, float8 shape, float8 scale)</td></tr> |
| <tr class="memdesc:aa544631ddeb7a5c06b995b4383c3b612"><td class="mdescLeft"> </td><td class="mdescRight">Weibull quantile function. <a href="#aa544631ddeb7a5c06b995b4383c3b612">More...</a><br /></td></tr> |
| <tr class="separator:aa544631ddeb7a5c06b995b4383c3b612"><td class="memSeparator" colspan="2"> </td></tr> |
| </table> |
| <a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2> |
| <div class="textblock"><dl class="section see"><dt>See also</dt><dd>For an overview of probability functions, see the module description <a class="el" href="group__grp__prob.html">Probability Functions</a>. </dd></dl> |
| </div><h2 class="groupheader">Function Documentation</h2> |
| <a class="anchor" id="aea21a931dc5578a570e3370af3d8d43a"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 bernoulli_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Bernoulli-distributed random variable with success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a434b3ad1f3964835834dc2a942b820ef"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 bernoulli_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a Bernoulli-distributed random variable with success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a7133c2e86fd2f6384416ee0e4fd3a60b"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 bernoulli_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>0 if <img class="formulaInl" alt="$ p \leq 1 - \mathit{sp} $" src="form_263.png"/> and 1 otherwise </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a72e1cca872da35592075dbcfb18aed3f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 beta_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a beta distributed random variable with shape parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa105049e6e3bb9b3891b0ed1b343e28e"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 beta_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a beta random variable with shape parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a32433aa742c0504d33e98e28a3e2f190"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 beta_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is beta distribution random variable with shape parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa5000bad6e2e4af1c8cbfec7ea884476"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 binomial_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">n</td><td>The number of trials <img class="formulaInl" alt="$ n \in \mathbb N_0 $" src="form_267.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a binomially distributed random variable with <img class="formulaInl" alt="$ n $" src="form_10.png"/> trials and success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa0614475b8685bf8e37533d2ac5bb116"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 binomial_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">n</td><td>The number of trials <img class="formulaInl" alt="$ n \in \mathbb N_0 $" src="form_267.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a binomially distributed random variable with <img class="formulaInl" alt="$ n $" src="form_10.png"/> trials and success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a49f421c58d2e1abd63b83d71af9edf21"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 binomial_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">n</td><td>The number of trials <img class="formulaInl" alt="$ n \in \mathbb N_0 $" src="form_267.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>If <img class="formulaInl" alt="$ p < 0.5 $" src="form_244.png"/> the maximum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \geq \Pr[X \leq x] $" src="form_268.png"/>. If <img class="formulaInl" alt="$ p \geq 0.5 $" src="form_246.png"/> the minimum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \leq \Pr[X \leq x] $" src="form_269.png"/>. Here, <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a binomially distributed random variable with <img class="formulaInl" alt="$ n $" src="form_10.png"/> trials and success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/>. </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a2d8874c2a5679403a473bfedb14467a4"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 cauchy_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \gamma > 0 $" src="form_271.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Cauchy-distributed random variable with location and scale parameters <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> and <img class="formulaInl" alt="$ \gamma $" src="form_272.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aebfad9365a7fc7a553c3b5c7931f2450"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 cauchy_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \gamma > 0 $" src="form_271.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Cauchy-distributed random variable with location and scale parameters <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> and <img class="formulaInl" alt="$ \gamma $" src="form_272.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ae8aa9b741e89c8d9236a682d218006e0"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 cauchy_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \gamma > 0 $" src="form_271.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Cauchy-distributed random variable with location and scale parameters <img class="formulaInl" alt="$ x_0 $" src="form_270.png"/> and <img class="formulaInl" alt="$ \gamma $" src="form_272.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a230513b6b549d5b445cbacbdbab42c15"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 chi_squared_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a90bccc717d7052e83bafd7f160a783b1"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 chi_squared_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ad125307fe65a33b60f6dd524037d4548"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 chi_squared_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \mu > 0 $" src="form_275.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a6d1bf6816f56b8e5ba6bf6ca94752f46"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 exponential_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lambda</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lambda</td><td>Rate parameter <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is an exponentially distributed random variable with rate parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a18a5458c4bc85f0c4ea321317f90bdbb"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 exponential_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lambda</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lambda</td><td>Rate parameter <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of exponentially distributed random variable with rate parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ae3687b8e69a402154b829a6531b1b279"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 exponential_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lambda</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">lambda</td><td>Rate parameter <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a exponentially distributed random variable with rate parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="acffffe04c15eccd2e88cdac250bccc68"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 extreme_value_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is an extreme-value distributed random variable with location and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a03a3494462f4cb8c9fb6212e72b0b2e9"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 extreme_value_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of an extreme-value distributed random variable with location and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aeb5a7d295b83a891774a4fb0ef27c458"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 extreme_value_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is an extreme-value distributed random variable with location and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a6c5b3e35531e44098f9d0cbef14cb8a6"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 fisher_f_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1 $" src="form_279.png"/> and <img class="formulaInl" alt="$ \nu_2 $" src="form_280.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a1c7937426379a8913519a6abc5a38ac2"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 fisher_f_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1 $" src="form_279.png"/> and <img class="formulaInl" alt="$ \nu_2 $" src="form_280.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ab6ed888a5338a0bee9c55edf4d33847f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 fisher_f_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1 $" src="form_279.png"/> and <img class="formulaInl" alt="$ \nu_2 $" src="form_280.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ab6760b0486bad2f1ab0635eb59404e7c"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 gamma_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ k > 0 $" src="form_281.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \theta > 0 $" src="form_282.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ k $" src="form_97.png"/> and <img class="formulaInl" alt="$ \theta $" src="form_145.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a6c37e3bda2596accbb46525321a328c4"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 gamma_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ k > 0 $" src="form_281.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \theta > 0 $" src="form_282.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ k $" src="form_97.png"/> and <img class="formulaInl" alt="$ \theta $" src="form_145.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ac48bbd491bd34831415705c3a0b7bf29"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 gamma_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ k > 0 $" src="form_281.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \theta > 0 $" src="form_282.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ k $" src="form_97.png"/> and <img class="formulaInl" alt="$ \theta $" src="form_145.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a00879bdf7d48ceddedb3b4cc33511497"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 geometric_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a geometrically distributed random variable with success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/>. </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a5e08db93bd448a1e2164e106ce5781a4"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 geometric_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a geometrically distributed random variable with success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a62674ca958aec0533cdf0a74a1dadea9"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 geometric_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in [0,1] $" src="form_260.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>If <img class="formulaInl" alt="$ p < 0.5 $" src="form_244.png"/> the maximum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \geq \Pr[X \leq x] $" src="form_268.png"/>. If <img class="formulaInl" alt="$ p \geq 0.5 $" src="form_246.png"/> the minimum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \leq \Pr[X \leq x] $" src="form_269.png"/>. Here, <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a geometrically distributed random variable with success probability <img class="formulaInl" alt="$ \mathit{sp} $" src="form_259.png"/>. </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a5c48e7fa2fc7bcbc69c7f4da663d457f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 hypergeometric_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>N</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Number <img class="formulaInl" alt="$ r \in \{ 0, 1, \dots, N \} $" src="form_283.png"/> of items with distinct property (sometimes called the number of <em>success states</em> in population) </td></tr> |
| <tr><td class="paramname">n</td><td>Number <img class="formulaInl" alt="$ n \in \{ 0, 1, \dots, N \} $" src="form_284.png"/> of draws (without replacement) </td></tr> |
| <tr><td class="paramname">N</td><td>Total number <img class="formulaInl" alt="$ N \in \mathbb N $" src="form_285.png"/> of items </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a hypergeometrically distributed random variable with parameters <img class="formulaInl" alt="$ r, n, N $" src="form_286.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="afbd2f8d9fb30fb179f59cc14f1fd8d6d"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 hypergeometric_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>N</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Number <img class="formulaInl" alt="$ r \in \{ 0, 1, \dots, N \} $" src="form_283.png"/> of items with distinct property (sometimes called the number of <em>success states</em> in population) </td></tr> |
| <tr><td class="paramname">n</td><td>Number <img class="formulaInl" alt="$ n \in \{ 0, 1, \dots, N \} $" src="form_284.png"/> of draws (without replacement) </td></tr> |
| <tr><td class="paramname">N</td><td>Total number <img class="formulaInl" alt="$ N \in \mathbb N $" src="form_285.png"/> of items </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a hypergeometrically distributed random variable with parameters <img class="formulaInl" alt="$ r, n, N $" src="form_286.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a813cc27fe097e797ed0fb6022c7bb79a"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 hypergeometric_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>n</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>N</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Number <img class="formulaInl" alt="$ r \in \{ 0, 1, \dots, N \} $" src="form_283.png"/> of items with distinct property (sometimes called the number of <em>success states</em> in population) </td></tr> |
| <tr><td class="paramname">n</td><td>Number <img class="formulaInl" alt="$ n \in \{ 0, 1, \dots, N \} $" src="form_284.png"/> of draws (without replacement) </td></tr> |
| <tr><td class="paramname">N</td><td>Total number <img class="formulaInl" alt="$ N \in \mathbb N $" src="form_285.png"/> of items </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a hypergeometrically distributed random variable with parameters <img class="formulaInl" alt="$ r, n, N $" src="form_286.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a85e9c16aa2c6973ddeb7883a5f153d93"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 inverse_gamma_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is an inverse-gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a126211c2172a43a654288fa72a2349f9"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 inverse_gamma_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of an inverse-gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a5876aae01f14729866d4fd52918a65ba"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 inverse_gamma_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is an inverse-gamma distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aeef43f74f583bdff17bd074d9c0d9607"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 kolmogorov_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Kolmogorov distributed random variable</dd></dl> |
| <dl class="section see"><dt>See also</dt><dd>Kolmogorov-Smirnov test: ks_test() </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a64e197de8da3761acdeec9db7e211703"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 laplace_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ b > 0 $" src="form_288.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Laplace-distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ 2 b^2 $" src="form_289.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a750278ad29d514793f76e159b773f410"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 laplace_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ b > 0 $" src="form_288.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Laplace-distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ 2 b^2 $" src="form_289.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a77f94fc43d4777fc4f68d18e29454a81"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 laplace_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ b > 0 $" src="form_288.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Laplace-distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ 2 b^2 $" src="form_289.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a140f674876813d5e786a4d8ba8d75c87"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 logistic_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a logistically distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and scale parameter <img class="formulaInl" alt="$ s $" src="form_291.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="afa38eb6c61d3c9825d5c172e6c17dbf7"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 logistic_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a logistically distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and scale parameter <img class="formulaInl" alt="$ s $" src="form_291.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a5a77a0bc5884af2a914a955174892ae2"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 logistic_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a logistically distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and scale parameter <img class="formulaInl" alt="$ s $" src="form_291.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a4c05b347f8feb64e1236d21b850af61e"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 lognormal_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ m $" src="form_292.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a lognormally distributed random variable with location and scale parameters <img class="formulaInl" alt="$ m $" src="form_292.png"/> and <img class="formulaInl" alt="$ s $" src="form_291.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a7370b797bf450f9aa54d4fea4d64d611"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 lognormal_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ m $" src="form_292.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a lognormally distributed random variable with location and scale parameters <img class="formulaInl" alt="$ m $" src="form_292.png"/> and <img class="formulaInl" alt="$ s $" src="form_291.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aab3a6de990ae5a81834274a1cf9cad8f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 lognormal_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>location</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">location</td><td>Location <img class="formulaInl" alt="$ m $" src="form_292.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ s > 0 $" src="form_290.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a lognormally distributed random variable with location and scale parameters <img class="formulaInl" alt="$ m $" src="form_292.png"/> and <img class="formulaInl" alt="$ s $" src="form_291.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ad0a7e4474f828869fb90e62f8e6f04d7"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 negative_binomial_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Total number <img class="formulaInl" alt="$ r > 0 $" src="form_293.png"/> of successes in <img class="formulaInl" alt="$ x + r $" src="form_294.png"/> trials (assuming success in the last trial) </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in (0,1] $" src="form_295.png"/> in each trial </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a negative-binomially distributed random variable with parameters <img class="formulaInl" alt="$ r, \mathit{sp} $" src="form_296.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ab9cbc30424eba30f2df2a32a7e45f138"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 negative_binomial_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Total number <img class="formulaInl" alt="$ r > 0 $" src="form_293.png"/> of successes in <img class="formulaInl" alt="$ x + r $" src="form_294.png"/> trials (assuming success in the last trial) </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in (0,1] $" src="form_295.png"/> in each trial </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a negative-binomially distributed random variable with parameters <img class="formulaInl" alt="$ r, \mathit{sp} $" src="form_296.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ad9e541de8b41da2e7b7434f862db4845"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 negative_binomial_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>r</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">r</td><td>Total number <img class="formulaInl" alt="$ r > 0 $" src="form_293.png"/> of successes in <img class="formulaInl" alt="$ x + r $" src="form_294.png"/> trials (assuming success in the last trial) </td></tr> |
| <tr><td class="paramname">sp</td><td>Success probability <img class="formulaInl" alt="$ \mathit{sp} \in (0,1] $" src="form_295.png"/> in each trial </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>If <img class="formulaInl" alt="$ p < 0.5 $" src="form_244.png"/> the maximum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \geq \Pr[X \leq x] $" src="form_268.png"/>. If <img class="formulaInl" alt="$ p \geq 0.5 $" src="form_246.png"/> the minimum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \leq \Pr[X \leq x] $" src="form_269.png"/>. Here, <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a negative-binomially distributed random variable with parameters <img class="formulaInl" alt="$ r, \mathit{sp} $" src="form_296.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a1361569bd86e41f796c70f8cb277010e"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_beta_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta \geq 0 $" src="form_297.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral-beta distributed random variable with shape parameters <img class="formulaInl" alt="$ shape_1 $" src="form_298.png"/> and <img class="formulaInl" alt="$ shape_2 $" src="form_299.png"/> and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ad4a12c083054f0e2d316ae76c9aaeef7"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_beta_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta \geq 0 $" src="form_297.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a noncentral-beta distributed random variable with shape parameters <img class="formulaInl" alt="$ shape_1 $" src="form_298.png"/> and <img class="formulaInl" alt="$ shape_2 $" src="form_299.png"/> and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a3073b409eaee3faa6d43df014662c279"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_beta_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>alpha</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>beta</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">alpha</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">beta</td><td>Shape <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta \geq 0 $" src="form_297.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral-beta distributed random variable with shape parameters <img class="formulaInl" alt="$ shape_1 $" src="form_298.png"/> and <img class="formulaInl" alt="$ shape_2 $" src="form_299.png"/> and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ab4b7d2cf10bb031328dcc34c6ff494ad"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_chi_squared_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral-chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa7a563183224593d1e0d623a3c5489d8"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_chi_squared_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a noncentral-chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ad694e29187b629ae683ef1235d2b9270"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_chi_squared_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral-chi-squared distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a00051df630007b530ce86b4ab44a0434"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_f_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1, \nu_2, \lambda $" src="form_302.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a3d94edcf90fca1fa52671293a9ea9c2f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_f_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a noncentral Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1, \nu_2, \lambda $" src="form_302.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a92b2a978db480a6c78cfb708107ecb92"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_f_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df1</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df2</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df1</td><td>Degrees of freedom in numerator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">df2</td><td>Degrees of freedom in denominator <img class="formulaInl" alt="$ \nu_1 > 0 $" src="form_278.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>The noncentrality parameter <img class="formulaInl" alt="$ \lambda \geq 0 $" src="form_301.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral Fisher F-distributed random variable with parameters <img class="formulaInl" alt="$ \nu_1, \nu_2, \lambda $" src="form_302.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="afaf4374d2720b230a54713e21ecb1955"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_t_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral Student's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a4799e3bb68a496d9bc1ef1ea85265409"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_t_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral Student's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="af50865aba2ece2e23b2af461a02f7d12"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 non_central_t_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>ncp</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| <tr><td class="paramname">ncp</td><td>Noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a noncentral Student's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom and noncentrality parameter <img class="formulaInl" alt="$ \delta $" src="form_300.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aebcd34ad7b1ca4b31d9699112c9a3b90"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> = <code>0</code>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sd</em> = <code>1</code> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">sd</td><td>Standard deviation <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ T $" src="form_304.png"/> is a normally distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ \sigma^2 $" src="form_305.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a370e31a46781ed8832b31625a683d053"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a6c0a499faa80db26c0178f1e69cf7a50"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a63f555f36385d86e229cdca223e39567"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> = <code>0</code>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sd</em> = <code>1</code> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">sd</td><td>Standard deviation <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a normally distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ \sigma^2 $" src="form_305.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a4ee303e56677465989c30230c7f55004"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a2836483a456c4bf2c9886763b270317e"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a53d56b672fe4cd1277cb5eac5de5118f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> = <code>0</code>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>sd</em> = <code>1</code> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> </td></tr> |
| <tr><td class="paramname">sd</td><td>Standard deviation <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a normally distributed random variable with mean <img class="formulaInl" alt="$ \mu $" src="form_287.png"/> and variance <img class="formulaInl" alt="$ \sigma^2 $" src="form_305.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a1b1f9d685f262ade8863ab3a1632b8d6"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a643bb4b6b880b96cf924c16e08b015d3"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 normal_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em></td><td>)</td> |
| <td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa1a42ebd68f20f65bc1784b427721b5d"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 pareto_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Pareto-distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a22c56a6e48bc442435b13afac2a1eb37"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 pareto_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Pareto-distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a77779e2b5fa951189ccba6806c503c4d"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 pareto_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Pareto-distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ae0b4313d9fe730d6efb3f7c44206f345"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 poisson_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Average occurrence rate <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Poisson distributed random variable with mean <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a82f1edc27261021c73cd080ff2677a9f"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 poisson_pmf </td> |
| <td>(</td> |
| <td class="paramtype">int4 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Average occurrence rate <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability mass function of a Poisson distributed random variable with mean <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a032d26db18b2ee1034085f5521939c61"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 poisson_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mean</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">mean</td><td>Average occurrence rate <img class="formulaInl" alt="$ \lambda > 0 $" src="form_276.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd>If <img class="formulaInl" alt="$ p < 0.5 $" src="form_244.png"/> the maximum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \geq \Pr[X \leq x] $" src="form_268.png"/>. If <img class="formulaInl" alt="$ p \geq 0.5 $" src="form_246.png"/> the minimum <img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p \leq \Pr[X \leq x] $" src="form_269.png"/>. Here, <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Poisson distributed random variable with mean <img class="formulaInl" alt="$ \lambda $" src="form_277.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aab0ddb8a5348cfa387d777043a3cb6d0"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 rayleigh_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Rayleigh-distributed random variable with parameter <img class="formulaInl" alt="$ \sigma $" src="form_306.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a798541736d9255bdd5c0bd94924d47bc"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 rayleigh_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Rayleigh-distributed random variable with parameter <img class="formulaInl" alt="$ \sigma $" src="form_306.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="acd6757acab1683c735e2b57901494336"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 rayleigh_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \sigma > 0 $" src="form_303.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Rayleigh-distributed random variable with parameter <img class="formulaInl" alt="$ \sigma $" src="form_306.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a5322531131074c23a2dbf067ee504ef7"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 students_t_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Student's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a8815c21670fff9d31946553a84b845b1"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 students_t_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a Stundent's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a7d64add02af21a95d73502b2dd466a75"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 students_t_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>df</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">df</td><td>Degrees of freedom <img class="formulaInl" alt="$ \nu > 0 $" src="form_273.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a Student's t-distributed random variable with <img class="formulaInl" alt="$ \nu $" src="form_274.png"/> degrees of freedom </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="abf9c7d870bcfe68cacaa421749bbdf35"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 triangular_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mode</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">mode</td><td>Mode <img class="formulaInl" alt="$ c \geq a $" src="form_307.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b \geq c $" src="form_308.png"/>, where <img class="formulaInl" alt="$ b > a $" src="form_309.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a triangular distributed random variable with parameters <img class="formulaInl" alt="$ a, b, c $" src="form_310.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a0c511b9748b2f7a21fe56aaf5f66d188"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 triangular_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mode</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">mode</td><td>Mode <img class="formulaInl" alt="$ c \geq a $" src="form_307.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b \geq c $" src="form_308.png"/>, where <img class="formulaInl" alt="$ b > a $" src="form_309.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a triangular distributed random variable with parameters <img class="formulaInl" alt="$ a, b, c $" src="form_310.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a4777540ab1b003ff92d484c4bc26af27"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 triangular_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>mode</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">mode</td><td>Mode <img class="formulaInl" alt="$ c \geq a $" src="form_307.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b \geq c $" src="form_308.png"/>, where <img class="formulaInl" alt="$ b > a $" src="form_309.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a trianbular distributed random variable with parameters <img class="formulaInl" alt="$ a, b, c $" src="form_310.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa3a05f4f2e0ef9eb65e828261ecfbed9"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 uniform_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b $" src="form_311.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a uniform distributed random variable with support <img class="formulaInl" alt="$ [a, b] $" src="form_312.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="ab90fa34d90a9c75747a34c3f210df239"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 uniform_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b $" src="form_311.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a uniform distributed random variable with support <img class="formulaInl" alt="$ [a, b] $" src="form_312.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a629587a0fdefb588d28b15517ae5cc04"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 uniform_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>lower</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>upper</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">lower</td><td>Lower bound <img class="formulaInl" alt="$ a $" src="form_33.png"/> </td></tr> |
| <tr><td class="paramname">upper</td><td>Upper bound <img class="formulaInl" alt="$ b $" src="form_311.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a uniform distributed random variable with support <img class="formulaInl" alt="$ [a, b] $" src="form_312.png"/> </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a50e4a1883588cd7a4c1ff1017399e4af"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 weibull_cdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ \Pr[X \leq x] $" src="form_258.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a weibull distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="a81a876ae2b8598f060dadb179b9324d2"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 weibull_pdf </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>x</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">x</td><td>Random variate <img class="formulaInl" alt="$ x $" src="form_178.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ f(x) $" src="form_261.png"/> where <img class="formulaInl" alt="$ f $" src="form_262.png"/> is the probability density function of a weibull distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
| |
| </div> |
| </div> |
| <a class="anchor" id="aa544631ddeb7a5c06b995b4383c3b612"></a> |
| <div class="memitem"> |
| <div class="memproto"> |
| <table class="memname"> |
| <tr> |
| <td class="memname">float8 weibull_quantile </td> |
| <td>(</td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>p</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>shape</em>, </td> |
| </tr> |
| <tr> |
| <td class="paramkey"></td> |
| <td></td> |
| <td class="paramtype">float8 </td> |
| <td class="paramname"><em>scale</em> </td> |
| </tr> |
| <tr> |
| <td></td> |
| <td>)</td> |
| <td></td><td></td> |
| </tr> |
| </table> |
| </div><div class="memdoc"> |
| <dl class="params"><dt>Parameters</dt><dd> |
| <table class="params"> |
| <tr><td class="paramname">p</td><td>Probability <img class="formulaInl" alt="$ p \in [0,1] $" src="form_241.png"/> </td></tr> |
| <tr><td class="paramname">shape</td><td>Shape <img class="formulaInl" alt="$ \alpha > 0 $" src="form_264.png"/> </td></tr> |
| <tr><td class="paramname">scale</td><td>Scale <img class="formulaInl" alt="$ \beta > 0 $" src="form_265.png"/> </td></tr> |
| </table> |
| </dd> |
| </dl> |
| <dl class="section return"><dt>Returns</dt><dd><img class="formulaInl" alt="$ x $" src="form_178.png"/> such that <img class="formulaInl" alt="$ p = \Pr[X \leq x] $" src="form_266.png"/> where <img class="formulaInl" alt="$ X $" src="form_2.png"/> is a weibull distributed random variable with shape and scale parameters <img class="formulaInl" alt="$ \alpha $" src="form_142.png"/> and <img class="formulaInl" alt="$ \beta $" src="form_143.png"/>, respectively </dd></dl> |
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