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<div class="title">cox_prop_hazards.sql_in File Reference</div> </div>
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<p>SQL functions for cox proportional hazards.
<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:a4a79cbbeb58eef8f02cc38bd03371094"><td class="memItemLeft" align="right" valign="top">intermediate_cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a4a79cbbeb58eef8f02cc38bd03371094">intermediate_cox_prop_hazards</a> (float8[] x, boolean status, float8[] coef)</td></tr>
<tr class="separator:a4a79cbbeb58eef8f02cc38bd03371094"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a9888e45530b6f10f578f6c6faf88ff29"><td class="memItemLeft" align="right" valign="top">float8[]&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a9888e45530b6f10f578f6c6faf88ff29">cox_prop_hazards_step_final</a> (float8[] state)</td></tr>
<tr class="separator:a9888e45530b6f10f578f6c6faf88ff29"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6399abb446fc9f6c1590b6682fa3b186"><td class="memItemLeft" align="right" valign="top">float8[]&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a6399abb446fc9f6c1590b6682fa3b186">cox_prop_hazards_step_transition</a> (float8[] state, float8[] x, float8 y, boolean status, float8 exp_coef_x, float8[] xexp_coef_x, float8[] x_xtrans_exp_coef_x, float8[] previous_state)</td></tr>
<tr class="separator:a6399abb446fc9f6c1590b6682fa3b186"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a93bfc01d22f7332e73b8c9ddcb81fc78"><td class="memItemLeft" align="right" valign="top">aggregate float8[]&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a93bfc01d22f7332e73b8c9ddcb81fc78">cox_prop_hazards_step</a> (float8[] x, float8 y, boolean status, float8 exp_coef_x, float8[] xexp_coef_x, float8[] x_xtrans_exp_coef_x, float8[] previous_state)</td></tr>
<tr class="separator:a93bfc01d22f7332e73b8c9ddcb81fc78"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4aef8754bbd70fb48975f160f7bfa8dc"><td class="memItemLeft" align="right" valign="top">float8&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a4aef8754bbd70fb48975f160f7bfa8dc">internal_cox_prop_hazards_step_distance</a> (float8[] state1, float8[] state2)</td></tr>
<tr class="separator:a4aef8754bbd70fb48975f160f7bfa8dc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:aa2a9f276d11b2bcf0b821339beaa4fbd"><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#aa2a9f276d11b2bcf0b821339beaa4fbd">internal_cox_prop_hazards_result</a> (float8[] state)</td></tr>
<tr class="separator:aa2a9f276d11b2bcf0b821339beaa4fbd"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acaeae1df8b7f3b28780d8b690d15ca21"><td class="memItemLeft" align="right" valign="top">integer&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#acaeae1df8b7f3b28780d8b690d15ca21">compute_cox_prop_hazards_regr</a> (varchar source, varchar indepColumn, varchar depColumn, varchar status, integer maxNumIterations, varchar <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>, float8 precision)</td></tr>
<tr class="separator:acaeae1df8b7f3b28780d8b690d15ca21"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a3310cf98478b7c1e400e8fb1b3965d30"><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a3310cf98478b7c1e400e8fb1b3965d30">cox_prop_hazards_regr</a> (varchar source, varchar indepColumn, varchar depColumn, varchar status, integer maxNumIterations=20, varchar <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>=&quot;newton&quot;, float8 precision=0.0001)</td></tr>
<tr class="memdesc:a3310cf98478b7c1e400e8fb1b3965d30"><td class="mdescLeft">&#160;</td><td class="mdescRight">Compute cox-regression coefficients and diagnostic statistics. <a href="#a3310cf98478b7c1e400e8fb1b3965d30">More...</a><br/></td></tr>
<tr class="separator:a3310cf98478b7c1e400e8fb1b3965d30"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a79ca0bbf1a3a5c1f83ede9596d4b43cc"><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a79ca0bbf1a3a5c1f83ede9596d4b43cc">cox_prop_hazards_regr</a> (varchar source, varchar indepColumn, varchar depColumn, varchar status)</td></tr>
<tr class="separator:a79ca0bbf1a3a5c1f83ede9596d4b43cc"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a217c18984301c16b39a6deffa8c677df"><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a217c18984301c16b39a6deffa8c677df">cox_prop_hazards_regr</a> (varchar source, varchar indepColumn, varchar depColumn, varchar status, integer maxNumIterations)</td></tr>
<tr class="separator:a217c18984301c16b39a6deffa8c677df"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a6508b2b2b8e0b6a0d0027c3d8b487df8"><td class="memItemLeft" align="right" valign="top">cox_prop_hazards_result&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="cox__prop__hazards_8sql__in.html#a6508b2b2b8e0b6a0d0027c3d8b487df8">cox_prop_hazards_regr</a> (varchar source, varchar indepColumn, varchar depColumn, varchar status, integer maxNumIterations, varchar <a class="el" href="robust_8sql__in.html#a7f6d9ad99f83891c797f66843bd9500d">optimizer</a>)</td></tr>
<tr class="separator:a6508b2b2b8e0b6a0d0027c3d8b487df8"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table>
<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><dl class="section date"><dt>Date</dt><dd>July 2012</dd></dl>
<dl class="section see"><dt>See Also</dt><dd>For a brief introduction to cox regression, see the module description <a class="el" href="group__grp__cox__prop__hazards.html">Cox-Proportional Hazards Regression</a> </dd></dl>
</div><h2 class="groupheader">Function Documentation</h2>
<a class="anchor" id="acaeae1df8b7f3b28780d8b690d15ca21"></a>
<div class="memitem">
<div class="memproto">
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<td class="memname">integer compute_cox_prop_hazards_regr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>indepColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>depColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>maxNumIterations</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>optimizer</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>precision</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a3310cf98478b7c1e400e8fb1b3965d30"></a>
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<div class="memproto">
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<tr>
<td class="memname">cox_prop_hazards_result cox_prop_hazards_regr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>indepColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>depColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>maxNumIterations</em> = <code>20</code>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>optimizer</em> = <code>&quot;newton&quot;</code>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>precision</em> = <code>0.0001</code>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
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</div><div class="memdoc">
<p>To include an intercept in the model, set one coordinate in the <code>independentVariables</code> array to 1.</p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">source</td><td>Name of the source relation containing the training data </td></tr>
<tr><td class="paramname">indepColumn</td><td>Name of the independent column </td></tr>
<tr><td class="paramname">depColumn</td><td>Name of the dependent column measuring time of death </td></tr>
<tr><td class="paramname">status</td><td>Name of the column that determines right censoring support </td></tr>
<tr><td class="paramname">maxNumIterations</td><td>The maximum number of iterations </td></tr>
<tr><td class="paramname">optimizer</td><td>The optimizer to use (either <code>'newton'</code>/<code>'newton'</code> for the newton method </td></tr>
<tr><td class="paramname">precision</td><td>The difference between log-likelihood values in successive iterations that should indicate convergence. Note that a non-positive value here disables the convergence criterion, and execution will only stop after <code>maxNumIterations</code> iterations.</td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>A composite value:<ul>
<li><code>coef FLOAT8[]</code> - Array of coefficients, \( \boldsymbol \beta \)</li>
<li><code>log_likelihood FLOAT8</code> - Log-likelihood \(l(\boldsymbol \beta)\)</li>
<li><code>std_err FLOAT8[]</code> - Array of standard errors, \( \mathit{se}(c_1), \dots, \mathit{se}(c_k) \)</li>
<li><code>z_stats FLOAT8[]</code> - Array of Wald z-statistics, \( \boldsymbol z \)</li>
<li><code>p_values FLOAT8[]</code> - Array of Wald p-values, \( \boldsymbol p \)</li>
<li><code>condition_no FLOAT8</code> - The condition number of matrix \( H \) during the iteration immediately <em>preceding</em> convergence (i.e., \( H \) is computed using the coefficients of the previous iteration)</li>
<li><code>num_iterations INTEGER</code> - The number of iterations before the algorithm terminated</li>
</ul>
</dd></dl>
<ul>
<li>Get vector of coefficients \( \boldsymbol \beta \) and all diagnostic statistics:<br/>
<pre>SELECT * FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a6508b2b2b8e0b6a0d0027c3d8b487df8">cox_prop_hazards_regr</a>(
'<em>sourceName</em>', '<em>dependentVariable</em>',
'<em>independentVariables</em>'
[, <em>numberOfIterations</em> [, '<em>optimizer</em>' [, <em>precision</em> ] ] ]
);</pre></li>
<li>Get vector of coefficients \( \boldsymbol \beta \):<br/>
<pre>SELECT (<a class="el" href="cox__prop__hazards_8sql__in.html#a6508b2b2b8e0b6a0d0027c3d8b487df8">cox_prop_hazards_regr</a>('<em>sourceName</em>',
'<em>dependentVariable</em>', '<em>independentVariables</em>')).coef;</pre></li>
<li>Get a subset of the output columns, e.g., only the array of coefficients \( \boldsymbol \beta \), the log-likelihood of determination: <pre>SELECT coef, log_likelihood
FROM <a class="el" href="cox__prop__hazards_8sql__in.html#a6508b2b2b8e0b6a0d0027c3d8b487df8">cox_prop_hazards_regr</a>('<em>sourceName</em>', '<em>dependentVariable</em>',
'<em>independentVariables</em>');</pre> </li>
</ul>
</div>
</div>
<a class="anchor" id="a79ca0bbf1a3a5c1f83ede9596d4b43cc"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">cox_prop_hazards_result cox_prop_hazards_regr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>indepColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>depColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>status</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a217c18984301c16b39a6deffa8c677df"></a>
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<td class="memname">cox_prop_hazards_result cox_prop_hazards_regr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>indepColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>depColumn</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>maxNumIterations</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a6508b2b2b8e0b6a0d0027c3d8b487df8"></a>
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<td class="memname">cox_prop_hazards_result cox_prop_hazards_regr </td>
<td>(</td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>source</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
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<td class="paramkey"></td>
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<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>depColumn</em>, </td>
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<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>status</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">integer&#160;</td>
<td class="paramname"><em>maxNumIterations</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">varchar&#160;</td>
<td class="paramname"><em>optimizer</em>&#160;</td>
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<a class="anchor" id="a93bfc01d22f7332e73b8c9ddcb81fc78"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">aggregate float8 [] cox_prop_hazards_step </td>
<td>(</td>
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<td class="paramname"><em>x</em>, </td>
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<tr>
<td class="paramkey"></td>
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<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>y</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>exp_coef_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>xexp_coef_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x_xtrans_exp_coef_x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>previous_state</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
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</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a9888e45530b6f10f578f6c6faf88ff29"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">float8 [] cox_prop_hazards_step_final </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state</em>)</td><td></td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a6399abb446fc9f6c1590b6682fa3b186"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">float8 [] cox_prop_hazards_step_transition </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>y</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8&#160;</td>
<td class="paramname"><em>exp_coef_x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>xexp_coef_x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x_xtrans_exp_coef_x</em>, </td>
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<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>previous_state</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a4a79cbbeb58eef8f02cc38bd03371094"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">intermediate_cox_prop_hazards_result intermediate_cox_prop_hazards </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>x</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">boolean&#160;</td>
<td class="paramname"><em>status</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>coef</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="aa2a9f276d11b2bcf0b821339beaa4fbd"></a>
<div class="memitem">
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<td class="memname">cox_prop_hazards_result internal_cox_prop_hazards_result </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state</em>)</td><td></td>
<td></td>
</tr>
</table>
</div><div class="memdoc">
</div>
</div>
<a class="anchor" id="a4aef8754bbd70fb48975f160f7bfa8dc"></a>
<div class="memitem">
<div class="memproto">
<table class="memname">
<tr>
<td class="memname">float8 internal_cox_prop_hazards_step_distance </td>
<td>(</td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state1</em>, </td>
</tr>
<tr>
<td class="paramkey"></td>
<td></td>
<td class="paramtype">float8[]&#160;</td>
<td class="paramname"><em>state2</em>&#160;</td>
</tr>
<tr>
<td></td>
<td>)</td>
<td></td><td></td>
</tr>
</table>
</div><div class="memdoc">
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