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diff --git a/doc/html/boost/accumulators/impl/weighted_skewness_impl.html b/doc/html/boost/accumulators/impl/weighted_skewness_impl.html new file mode 100644 index 0000000000..c2432e90ce --- /dev/null +++ b/doc/html/boost/accumulators/impl/weighted_skewness_impl.html @@ -0,0 +1,84 @@ +<!DOCTYPE html PUBLIC "-//W3C//DTD HTML 4.01 Transitional//EN" "http://www.w3.org/TR/html4/loose.dtd"> +<html> +<head> +<meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> +<title>Struct template weighted_skewness_impl</title> +<link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css"> +<meta name="generator" content="DocBook XSL Stylesheets V1.76.1"> +<link rel="home" href="../../../index.html" title="The Boost C++ Libraries BoostBook Documentation Subset"> +<link rel="up" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_skewness_hpp" title="Header <boost/accumulators/statistics/weighted_skewness.hpp>"> +<link rel="prev" 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href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_skewness_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../tag/weighted_skewness.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +<div class="refentry"> +<a name="boost.accumulators.impl.weighted_skewness_impl"></a><div class="titlepage"></div> +<div class="refnamediv"> +<h2><span class="refentrytitle">Struct template weighted_skewness_impl</span></h2> +<p>boost::accumulators::impl::weighted_skewness_impl — 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: <<a class="link" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_skewness_hpp" title="Header <boost/accumulators/statistics/weighted_skewness.hpp>">boost/accumulators/statistics/weighted_skewness.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">typename</span> Weight<span class="special">></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"><</span> <span class="identifier">Sample</span><span class="special">,</span> <span class="identifier">Weight</span> <span class="special">></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"><</span> <span class="identifier">weighted_sample</span><span class="special">,</span> <span class="identifier">weighted_sample</span> <span class="special">></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"><</span><span class="keyword">typename</span> Args<span class="special">></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">&</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 1.37. </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"><</span><span class="keyword">typename</span> Args<span class="special">></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">&</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 © 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> +<hr> +<div class="spirit-nav"> +<a accesskey="p" href="../extract/weighted_skewness.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.weighted_skewness_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img src="../../../../../doc/src/images/home.png" alt="Home"></a><a accesskey="n" href="../tag/weighted_skewness.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +</div> +</body> +</html> |