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<div class="subTitle">org.apache.openejb.math.stat.descriptive.moment</div>
<h2 title="Class FourthMoment" class="title">Class FourthMoment</h2>
</div>
<div class="contentContainer">
<ul class="inheritance">
<li>java.lang.Object</li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractUnivariateStatistic.html" title="class in org.apache.openejb.math.stat.descriptive">org.apache.openejb.math.stat.descriptive.AbstractUnivariateStatistic</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html" title="class in org.apache.openejb.math.stat.descriptive">org.apache.openejb.math.stat.descriptive.AbstractStorelessUnivariateStatistic</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">org.apache.openejb.math.stat.descriptive.moment.FirstMoment</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">org.apache.openejb.math.stat.descriptive.moment.SecondMoment</a></li>
<li>
<ul class="inheritance">
<li><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">org.apache.openejb.math.stat.descriptive.moment.ThirdMoment</a></li>
<li>
<ul class="inheritance">
<li>org.apache.openejb.math.stat.descriptive.moment.FourthMoment</li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
</ul>
</li>
</ul>
<div class="description">
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<dl>
<dt>All Implemented Interfaces:</dt>
<dd>java.io.Serializable, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">StorelessUnivariateStatistic</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/UnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">UnivariateStatistic</a></dd>
</dl>
<hr>
<br>
<pre>public class <span class="typeNameLabel">FourthMoment</span>
extends <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a>
implements java.io.Serializable</pre>
<div class="block">Computes a statistic related to the Fourth Central Moment. Specifically,
what is computed is the sum of
<p>
(x_i - xbar) ^ 4, </p>
<p>
where the x_i are the
sample observations and xbar is the sample mean. </p>
<p>
The following recursive updating formula is used: </p>
<p>
Let <ul>
<li> dev = (current obs - previous mean) </li>
<li> m2 = previous value of <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment"><code>SecondMoment</code></a> </li>
<li> m2 = previous value of <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment"><code>ThirdMoment</code></a> </li>
<li> n = number of observations (including current obs) </li>
</ul>
Then </p>
<p>
new value = old value - 4 * (dev/n) * m3 + 6 * (dev/n)^2 * m2 + <br>
[n^2 - 3 * (n-1)] * dev^4 * (n-1) / n^3 </p>
<p>
Returns <code>Double.NaN</code> if no data values have been added and
returns <code>0</code> if there is just one value in the data set. </p>
<p>
<strong>Note that this implementation is not synchronized.</strong> If
multiple threads access an instance of this class concurrently, and at least
one of the threads invokes the <code>increment()</code> or
<code>clear()</code> method, it must be synchronized externally. </p></div>
<dl>
<dt><span class="seeLabel">See Also:</span></dt>
<dd><a href="../../../../../../../serialized-form.html#org.apache.openejb.math.stat.descriptive.moment.FourthMoment">Serialized Form</a></dd>
</dl>
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<caption><span>Fields</span><span class="tabEnd">&nbsp;</span></caption>
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<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Field and Description</th>
</tr>
<tr class="altColor">
<td class="colFirst"><code>protected double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#m4">m4</a></span></code>
<div class="block">fourth moment of values that have been added</div>
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<h3>Fields inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#m3">m3</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#nDevSq">nDevSq</a></code></li>
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<h3>Fields inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">SecondMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html#m2">m2</a></code></li>
</ul>
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<h3>Fields inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FirstMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#dev">dev</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#m1">m1</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#n">n</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#nDev">nDev</a></code></li>
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<h3>Constructor Summary</h3>
<table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
<tr>
<th class="colOne" scope="col">Constructor and Description</th>
</tr>
<tr class="altColor">
<td class="colOne"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#FourthMoment--">FourthMoment</a></span>()</code>
<div class="block">Create a FourthMoment instance</div>
</td>
</tr>
<tr class="rowColor">
<td class="colOne"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#FourthMoment-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-">FourthMoment</a></span>(<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;original)</code>
<div class="block">Copy constructor, creates a new <code>FourthMoment</code> identical
to the <code>original</code></div>
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<h3>Method Summary</h3>
<table class="memberSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
<caption><span id="t0" class="activeTableTab"><span>All Methods</span><span class="tabEnd">&nbsp;</span></span><span id="t1" class="tableTab"><span><a href="javascript:show(1);">Static Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t2" class="tableTab"><span><a href="javascript:show(2);">Instance Methods</a></span><span class="tabEnd">&nbsp;</span></span><span id="t4" class="tableTab"><span><a href="javascript:show(8);">Concrete Methods</a></span><span class="tabEnd">&nbsp;</span></span></caption>
<tr>
<th class="colFirst" scope="col">Modifier and Type</th>
<th class="colLast" scope="col">Method and Description</th>
</tr>
<tr id="i0" class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#clear--">clear</a></span>()</code>
<div class="block">Clears the internal state of the Statistic</div>
</td>
</tr>
<tr id="i1" class="rowColor">
<td class="colFirst"><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a></code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#copy--">copy</a></span>()</code>
<div class="block">Returns a copy of the statistic with the same internal state.</div>
</td>
</tr>
<tr id="i2" class="altColor">
<td class="colFirst"><code>static void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#copy-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-">copy</a></span>(<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;source,
<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;dest)</code>
<div class="block">Copies source to dest.</div>
</td>
</tr>
<tr id="i3" class="rowColor">
<td class="colFirst"><code>double</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#getResult--">getResult</a></span>()</code>
<div class="block">Returns the current value of the Statistic.</div>
</td>
</tr>
<tr id="i4" class="altColor">
<td class="colFirst"><code>void</code></td>
<td class="colLast"><code><span class="memberNameLink"><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html#increment-double-">increment</a></span>(double&nbsp;d)</code>
<div class="block">Updates the internal state of the statistic to reflect the addition of the new value.</div>
</td>
</tr>
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<h3>Methods inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#copy-org.apache.openejb.math.stat.descriptive.moment.ThirdMoment-org.apache.openejb.math.stat.descriptive.moment.ThirdMoment-">copy</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">SecondMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/SecondMoment.html#copy-org.apache.openejb.math.stat.descriptive.moment.SecondMoment-org.apache.openejb.math.stat.descriptive.moment.SecondMoment-">copy</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.moment.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FirstMoment</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#copy-org.apache.openejb.math.stat.descriptive.moment.FirstMoment-org.apache.openejb.math.stat.descriptive.moment.FirstMoment-">copy</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FirstMoment.html#getN--">getN</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html" title="class in org.apache.openejb.math.stat.descriptive">AbstractStorelessUnivariateStatistic</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#equals-java.lang.Object-">equals</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#evaluate-double:A-">evaluate</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#evaluate-double:A-int-int-">evaluate</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#hashCode--">hashCode</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#incrementAll-double:A-">incrementAll</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractStorelessUnivariateStatistic.html#incrementAll-double:A-int-int-">incrementAll</a></code></li>
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<h3>Methods inherited from class&nbsp;org.apache.openejb.math.stat.descriptive.<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractUnivariateStatistic.html" title="class in org.apache.openejb.math.stat.descriptive">AbstractUnivariateStatistic</a></h3>
<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractUnivariateStatistic.html#test-double:A-double:A-int-int-">test</a>, <a href="../../../../../../../org/apache/openejb/math/stat/descriptive/AbstractUnivariateStatistic.html#test-double:A-int-int-">test</a></code></li>
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<h3>Methods inherited from class&nbsp;java.lang.Object</h3>
<code>clone, finalize, getClass, notify, notifyAll, toString, wait, wait, wait</code></li>
</ul>
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<h3>Field Detail</h3>
<a name="m4">
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<h4>m4</h4>
<pre>protected&nbsp;double m4</pre>
<div class="block">fourth moment of values that have been added</div>
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<h3>Constructor Detail</h3>
<a name="FourthMoment--">
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<h4>FourthMoment</h4>
<pre>public&nbsp;FourthMoment()</pre>
<div class="block">Create a FourthMoment instance</div>
</li>
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<a name="FourthMoment-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-">
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<h4>FourthMoment</h4>
<pre>public&nbsp;FourthMoment(<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;original)</pre>
<div class="block">Copy constructor, creates a new <code>FourthMoment</code> identical
to the <code>original</code></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>original</code> - the <code>FourthMoment</code> instance to copy</dd>
</dl>
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<h3>Method Detail</h3>
<a name="increment-double-">
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<h4>increment</h4>
<pre>public&nbsp;void&nbsp;increment(double&nbsp;d)</pre>
<div class="block">Updates the internal state of the statistic to reflect the addition of the new value.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html#increment-double-">increment</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#increment-double-">increment</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></code></dd>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>d</code> - the new value.</dd>
</dl>
</li>
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<a name="getResult--">
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<h4>getResult</h4>
<pre>public&nbsp;double&nbsp;getResult()</pre>
<div class="block">Returns the current value of the Statistic.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html#getResult--">getResult</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#getResult--">getResult</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>value of the statistic, <code>Double.NaN</code> if it
has been cleared or just instantiated.</dd>
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<h4>clear</h4>
<pre>public&nbsp;void&nbsp;clear()</pre>
<div class="block">Clears the internal state of the Statistic</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html#clear--">clear</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#clear--">clear</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></code></dd>
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<h4>copy</h4>
<pre>public&nbsp;<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;copy()</pre>
<div class="block">Returns a copy of the statistic with the same internal state.</div>
<dl>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html#copy--">copy</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/StorelessUnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">StorelessUnivariateStatistic</a></code></dd>
<dt><span class="overrideSpecifyLabel">Specified by:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/UnivariateStatistic.html#copy--">copy</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/UnivariateStatistic.html" title="interface in org.apache.openejb.math.stat.descriptive">UnivariateStatistic</a></code></dd>
<dt><span class="overrideSpecifyLabel">Overrides:</span></dt>
<dd><code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html#copy--">copy</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/ThirdMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">ThirdMoment</a></code></dd>
<dt><span class="returnLabel">Returns:</span></dt>
<dd>a copy of the statistic</dd>
</dl>
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</ul>
<a name="copy-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-org.apache.openejb.math.stat.descriptive.moment.FourthMoment-">
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<h4>copy</h4>
<pre>public static&nbsp;void&nbsp;copy(<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;source,
<a href="../../../../../../../org/apache/openejb/math/stat/descriptive/moment/FourthMoment.html" title="class in org.apache.openejb.math.stat.descriptive.moment">FourthMoment</a>&nbsp;dest)</pre>
<div class="block">Copies source to dest.
<p>Neither source nor dest can be null.</p></div>
<dl>
<dt><span class="paramLabel">Parameters:</span></dt>
<dd><code>source</code> - FourthMoment to copy</dd>
<dd><code>dest</code> - FourthMoment to copy to</dd>
<dt><span class="throwsLabel">Throws:</span></dt>
<dd><code>java.lang.NullPointerException</code> - if either source or dest is null</dd>
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