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<title>Struct template skewness_impl</title>
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<h2><span class="refentrytitle">Struct template skewness_impl</span></h2>
<p>boost::accumulators::impl::skewness_impl — Skewness estimation. </p>
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<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: <<a class="link" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp" title="Header <boost/accumulators/statistics_fwd.hpp>">boost/accumulators/statistics_fwd.hpp</a>>
</span><span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Sample<span class="special">></span>
<span class="keyword">struct</span> <a class="link" href="skewness_impl.html" title="Struct template skewness_impl">skewness_impl</a> <span class="special">:</span> <span class="keyword">public</span> <span class="identifier">accumulator_base</span> <span class="special">{</span>
<span class="comment">// <a class="link" href="skewness_impl.html#boost.accumulators.impl.skewness_implconstruct-copy-destruct">construct/copy/destruct</a></span>
<a class="link" href="skewness_impl.html#idp67000016-bb"><span class="identifier">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="skewness_impl.html#idp66996640-bb">public member functions</a></span>
<span class="keyword">template</span><span class="special"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="identifier">result_type</span> <a class="link" href="skewness_impl.html#idp66997200-bb"><span class="identifier">result</span></a><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</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="idp110495856"></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_67.png"></span>-th power of the 2nd central moment (the variance) of the samples 3. The skewness can also be expressed by the simple moments:</p>
<div class="equation">
<a name="idp110499296"></a><p class="title"><b>Equation 1.19. </b></p>
<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_68.png" align="middle"></div></div>
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<p><br class="equation-break"></p>
<p>where <span class="inlinemediaobject"><img src="../../../images/accumulators//form_32.png"></span> are the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_33.png"></span>-th moment and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_34.png"></span> the mean (first moment) of the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_35.png"></span> samples. </p>
<div class="refsect2">
<a name="idp110512176"></a><h3>
<a name="boost.accumulators.impl.skewness_implconstruct-copy-destruct"></a><code class="computeroutput">skewness_impl</code>
public
construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idp67000016-bb"></a><span class="identifier">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>
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<a name="idp110518704"></a><h3>
<a name="idp66996640-bb"></a><code class="computeroutput">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"><</span><span class="keyword">typename</span> Args<span class="special">></span> <span class="identifier">result_type</span> <a name="idp66997200-bb"></a><span class="identifier">result</span><span class="special">(</span><span class="identifier">Args</span> <span class="keyword">const</span> <span class="special">&</span> args<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre></li></ol></div>
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<td align="right"><div class="copyright-footer">Copyright © 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>)
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