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+<a name="boost.accumulators.impl.weighted_skewness_impl"></a><div class="titlepage"></div>
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+<h2><span class="refentrytitle">Struct template weighted_skewness_impl</span></h2>
+<p>boost::accumulators::impl::weighted_skewness_impl &#8212; Skewness estimation for weighted samples. </p>
+</div>
+<h2 xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv-title">Synopsis</h2>
+<div xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" class="refsynopsisdiv"><pre class="synopsis"><span class="comment">// In header: &lt;<a class="link" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_skewness_hpp" title="Header &lt;boost/accumulators/statistics/weighted_skewness.hpp&gt;">boost/accumulators/statistics/weighted_skewness.hpp</a>&gt;
+
+</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Sample<span class="special">,</span> <span class="keyword">typename</span> Weight<span class="special">&gt;</span>
+<span class="keyword">struct</span> <a class="link" href="weighted_skewness_impl.html" title="Struct template weighted_skewness_impl">weighted_skewness_impl</a> <span class="special">{</span>
+ <span class="comment">// types</span>
+ <span class="keyword">typedef</span> <span class="identifier">numeric</span><span class="special">::</span><span class="identifier">functional</span><span class="special">::</span><span class="identifier">multiplies</span><span class="special">&lt;</span> <span class="identifier">Sample</span><span class="special">,</span> <span class="identifier">Weight</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">result_type</span> <a name="boost.accumulators.impl.weighted_skewness_impl.weighted_sample"></a><span class="identifier">weighted_sample</span><span class="special">;</span>
+ <span class="keyword">typedef</span> <span class="identifier">numeric</span><span class="special">::</span><span class="identifier">functional</span><span class="special">::</span><span class="identifier">fdiv</span><span class="special">&lt;</span> <span class="identifier">weighted_sample</span><span class="special">,</span> <span class="identifier">weighted_sample</span> <span class="special">&gt;</span><span class="special">::</span><span class="identifier">result_type</span> <a name="boost.accumulators.impl.weighted_skewness_impl.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
+
+ <span class="comment">// <a class="link" href="weighted_skewness_impl.html#boost.accumulators.impl.weighted_skewness_implconstruct-copy-destruct">construct/copy/destruct</a></span>
+ <a class="link" href="weighted_skewness_impl.html#idp35916400-bb"><span class="identifier">weighted_skewness_impl</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span>
+
+ <span class="comment">// <a class="link" href="weighted_skewness_impl.html#idp35913024-bb">public member functions</a></span>
+ <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Args<span class="special">&gt;</span> <span class="identifier">result_type</span> <a class="link" href="weighted_skewness_impl.html#idp35913584-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
+<span class="special">}</span><span class="special">;</span></pre></div>
+<div class="refsect1">
+<a name="idp30410240"></a><h2>Description</h2>
+<p>The skewness of a sample distribution is defined as the ratio of the 3rd central moment and the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_9.png"></span>-th power $ of the 2nd central moment (the variance) of the samples. The skewness can also be expressed by the simple moments:</p>
+<div class="equation">
+<a name="idp30413680"></a><p class="title"><b>Equation&#160;1.37.&#160;</b></p>
+<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_10.png" align="middle"></div></div>
+</div>
+<p><br class="equation-break"></p>
+<p>where <span class="inlinemediaobject"><img src="../../../images/accumulators//form_11.png"></span> are the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_12.png"></span>-th moment and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_13.png"></span> the mean (first moment) of the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_14.png"></span> samples.</p>
+<p>The skewness estimator for weighted samples is formally identical to the estimator for unweighted samples, except that the weighted counterparts of all measures it depends on are to be taken. </p>
+<div class="refsect2">
+<a name="idp30427024"></a><h3>
+<a name="boost.accumulators.impl.weighted_skewness_implconstruct-copy-destruct"></a><code class="computeroutput">weighted_skewness_impl</code>
+ public
+ construct/copy/destruct</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idp35916400-bb"></a><span class="identifier">weighted_skewness_impl</span><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span></pre></li></ol></div>
+</div>
+<div class="refsect2">
+<a name="idp30433488"></a><h3>
+<a name="idp35913024-bb"></a><code class="computeroutput">weighted_skewness_impl</code> public member functions</h3>
+<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> Args<span class="special">&gt;</span> <span class="identifier">result_type</span> <a name="idp35913584-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&amp;</span> args<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li></ol></div>
+</div>
+</div>
+</div>
+<table xmlns:rev="http://www.cs.rpi.edu/~gregod/boost/tools/doc/revision" width="100%"><tr>
+<td align="left"></td>
+<td align="right"><div class="copyright-footer">Copyright &#169; 2005, 2006 Eric Niebler<p>
+ Distributed under the Boost Software License, Version 1.0. (See accompanying
+ file LICENSE_1_0.txt or copy at <a href="http://www.boost.org/LICENSE_1_0.txt" target="_top">http://www.boost.org/LICENSE_1_0.txt</a>)
+ </p>
+</div></td>
+</tr></table>
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