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diff --git a/doc/html/boost/accumulators/impl/kurtosis_impl.html b/doc/html/boost/accumulators/impl/kurtosis_impl.html index 04474f7800..6006e8ce1b 100644 --- a/doc/html/boost/accumulators/impl/kurtosis_impl.html +++ b/doc/html/boost/accumulators/impl/kurtosis_impl.html @@ -4,11 +4,11 @@ <meta http-equiv="Content-Type" content="text/html; charset=US-ASCII"> <title>Struct template kurtosis_impl</title> <link rel="stylesheet" href="../../../../../doc/src/boostbook.css" type="text/css"> -<meta name="generator" content="DocBook XSL Stylesheets V1.76.1"> +<meta name="generator" content="DocBook XSL Stylesheets V1.79.1"> <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.kurtosis_hpp" title="Header <boost/accumulators/statistics/kurtosis.hpp>"> -<link rel="prev" href="../extract/kurtosis.html" title="Global kurtosis"> -<link rel="next" href="../tag/kurtosis.html" title="Struct kurtosis"> +<link rel="up" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp" title="Header <boost/accumulators/statistics_fwd.hpp>"> +<link rel="prev" href="extended_idm46563508236960.html" title="Struct template extended_p_square_quantile_impl"> +<link rel="next" href="max_impl.html" title="Struct template max_impl"> </head> <body bgcolor="white" text="black" link="#0000FF" vlink="#840084" alink="#0000FF"> <table cellpadding="2" width="100%"><tr> @@ -21,7 +21,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="../extract/kurtosis.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.kurtosis_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/kurtosis.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="extended_idm46563508236960.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_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="max_impl.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> </div> <div class="refentry"> <a name="boost.accumulators.impl.kurtosis_impl"></a><div class="titlepage"></div> @@ -30,39 +30,36 @@ <p>boost::accumulators::impl::kurtosis_impl — Kurtosis estimation. </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.kurtosis_hpp" title="Header <boost/accumulators/statistics/kurtosis.hpp>">boost/accumulators/statistics/kurtosis.hpp</a>> +<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="kurtosis_impl.html" title="Struct template kurtosis_impl">kurtosis_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">fdiv</span><span class="special"><</span> <span class="identifier">Sample</span><span class="special">,</span> <span class="identifier">Sample</span> <span class="special">></span><span class="special">::</span><span class="identifier">result_type</span> <a name="boost.accumulators.impl.kurtosis_impl.result_type"></a><span class="identifier">result_type</span><span class="special">;</span> - +<span class="keyword">struct</span> <a class="link" href="kurtosis_impl.html" title="Struct template kurtosis_impl">kurtosis_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="kurtosis_impl.html#boost.accumulators.impl.kurtosis_implconstruct-copy-destruct">construct/copy/destruct</a></span> - <a class="link" href="kurtosis_impl.html#idp34223072-bb"><span class="identifier">kurtosis_impl</span></a><span class="special">(</span><span class="identifier">dont_care</span><span class="special">)</span><span class="special">;</span> + <a class="link" href="kurtosis_impl.html#idm46563508200768-bb"><span class="identifier">kurtosis_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="kurtosis_impl.html#idp34219696-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="kurtosis_impl.html#idp34220256-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="comment">// <a class="link" href="kurtosis_impl.html#idm46563508204144-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="kurtosis_impl.html#idm46563508203584-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="idp19096288"></a><h2>Description</h2> -<p>The kurtosis of a sample distribution is defined as the ratio of the 4th central moment and the square of the 2nd central moment (the variance) of the samples, minus 3. The term <span class="inlinemediaobject"><img src="../../../images/accumulators//form_44.png"></span> is added in order to ensure that the normal distribution has zero kurtosis. The kurtosis can also be expressed by the simple moments:</p> +<a name="idm45928174281920"></a><h2>Description</h2> +<p>The kurtosis of a sample distribution is defined as the ratio of the 4th central moment and the square of the 2nd central moment (the variance) of the samples, minus 3. The term <span class="inlinemediaobject"><img src="../../../images/accumulators//form_73.png"></span> is added in order to ensure that the normal distribution has zero kurtosis. The kurtosis can also be expressed by the simple moments:</p> <div class="equation"> -<a name="idp19099808"></a><p class="title"><b>Equation 1.2. </b></p> -<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_45.png" align="middle"></div></div> +<a name="idm45928174278400"></a><p class="title"><b>Equation 1.16. </b></p> +<div class="equation-contents"><div class="mediaobject" align="center"><img src="../../../images/accumulators//form_74.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>where <span class="inlinemediaobject"><img src="../../../images/accumulators//form_44.png"></span> are the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_45.png"></span>-th moment and <span class="inlinemediaobject"><img src="../../../images/accumulators//form_46.png"></span> the mean (first moment) of the <span class="inlinemediaobject"><img src="../../../images/accumulators//form_47.png"></span> samples. </p> <div class="refsect2"> -<a name="idp19112784"></a><h3> +<a name="idm45928174265424"></a><h3> <a name="boost.accumulators.impl.kurtosis_implconstruct-copy-destruct"></a><code class="computeroutput">kurtosis_impl</code> public construct/copy/destruct</h3> -<div class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idp34223072-bb"></a><span class="identifier">kurtosis_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 class="orderedlist"><ol class="orderedlist" type="1"><li class="listitem"><pre class="literallayout"><a name="idm46563508200768-bb"></a><span class="identifier">kurtosis_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="idp19119248"></a><h3> -<a name="idp34219696-bb"></a><code class="computeroutput">kurtosis_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="idp34220256-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> +<a name="idm45928174258896"></a><h3> +<a name="idm46563508204144-bb"></a><code class="computeroutput">kurtosis_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="idm46563508203584-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> @@ -76,7 +73,7 @@ </tr></table> <hr> <div class="spirit-nav"> -<a accesskey="p" href="../extract/kurtosis.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics.kurtosis_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/kurtosis.html"><img src="../../../../../doc/src/images/next.png" alt="Next"></a> +<a accesskey="p" href="extended_idm46563508236960.html"><img src="../../../../../doc/src/images/prev.png" alt="Prev"></a><a accesskey="u" href="../../../accumulators/reference.html#header.boost.accumulators.statistics_fwd_hpp"><img src="../../../../../doc/src/images/up.png" alt="Up"></a><a accesskey="h" href="../../../index.html"><img 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