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<title>Class template student_t_distribution</title>
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<div class="refentry">
<a name="boost.random.student_t_distribution"></a><div class="titlepage"></div>
<div class="refnamediv">
<h2><span class="refentrytitle">Class template student_t_distribution</span></h2>
<p>boost::random::student_t_distribution</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="../../boost_random/reference.html#header.boost.random.student_t_distribution_hpp" title="Header &lt;boost/random/student_t_distribution.hpp&gt;">boost/random/student_t_distribution.hpp</a>&gt;

</span><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> RealType <span class="special">=</span> <span class="keyword">double</span><span class="special">&gt;</span> 
<span class="keyword">class</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">{</span>
<span class="keyword">public</span><span class="special">:</span>
  <span class="comment">// types</span>
  <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.student_t_distribution.result_type"></a><span class="identifier">result_type</span><span class="special">;</span>
  <span class="keyword">typedef</span> <span class="identifier">RealType</span> <a name="boost.random.student_t_distribution.input_type"></a><span class="identifier">input_type</span><span class="special">;</span> 

  <span class="comment">// member classes/structs/unions</span>

  <span class="keyword">class</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">{</span>
  <span class="keyword">public</span><span class="special">:</span>
    <span class="comment">// types</span>
    <span class="keyword">typedef</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <a class="link" href="student_t_distribution/param_type.html#boost.random.student_t_distribution.param_type.distribution_type"><span class="identifier">distribution_type</span></a><span class="special">;</span>

    <span class="comment">// <a class="link" href="student_t_distribution/param_type.html#boost.random.student_t_distribution.param_typeconstruct-copy-destruct">construct/copy/destruct</a></span>
    <span class="keyword">explicit</span> <a class="link" href="student_t_distribution/param_type.html#idp21019624-bb"><span class="identifier">param_type</span></a><span class="special">(</span><span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span>

    <span class="comment">// <a class="link" href="student_t_distribution/param_type.html#idp45753224-bb">public member functions</a></span>
    <span class="identifier">RealType</span> <a class="link" href="student_t_distribution/param_type.html#idp45753432-bb"><span class="identifier">n</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>

    <span class="comment">// <a class="link" href="student_t_distribution/param_type.html#idp34530104-bb">friend functions</a></span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
      <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
      <a class="link" href="student_t_distribution/param_type.html#idp34530312-bb"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
      <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
      <a class="link" href="student_t_distribution/param_type.html#idp35079192-bb"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="student_t_distribution/param_type.html#idp54687192-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
    <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="student_t_distribution/param_type.html#idp51815224-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="special">}</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="student_t_distribution.html#boost.random.student_t_distributionconstruct-copy-destruct">construct/copy/destruct</a></span>
  <span class="keyword">explicit</span> <a class="link" href="student_t_distribution.html#idp46429896-bb"><span class="identifier">student_t_distribution</span></a><span class="special">(</span><span class="identifier">RealType</span> <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">explicit</span> <a class="link" href="student_t_distribution.html#idp45855208-bb"><span class="identifier">student_t_distribution</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="student_t_distribution.html#idp51817688-bb">public member functions</a></span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> <span class="identifier">RealType</span> <a class="link" href="student_t_distribution.html#idp51817896-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> 
    <span class="identifier">RealType</span> <a class="link" href="student_t_distribution.html#idp54407208-bb"><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span></a><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span><span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">RealType</span> <a class="link" href="student_t_distribution.html#idp46424936-bb"><span class="identifier">n</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">RealType</span> <a class="link" href="student_t_distribution.html#idp46425640-bb"><span class="identifier">min</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="identifier">RealType</span> <a class="link" href="student_t_distribution.html#idp46426360-bb"><span class="identifier">max</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <a class="link" href="student_t_distribution.html#idp46427080-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="student_t_distribution.html#idp46427848-bb"><span class="identifier">param</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">void</span> <a class="link" href="student_t_distribution.html#idp46429112-bb"><span class="identifier">reset</span></a><span class="special">(</span><span class="special">)</span><span class="special">;</span>

  <span class="comment">// <a class="link" href="student_t_distribution.html#idp45856648-bb">friend functions</a></span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
    <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
    <a class="link" href="student_t_distribution.html#idp45856856-bb"><span class="keyword">operator</span><span class="special">&lt;&lt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> 
               <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
    <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
    <a class="link" href="student_t_distribution.html#idp19094984-bb"><span class="keyword">operator</span><span class="special">&gt;&gt;</span></a><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span><span class="special">,</span> 
               <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="student_t_distribution.html#idp53175912-bb"><span class="keyword">operator</span><span class="special">==</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">,</span> 
                         <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
  <span class="keyword">friend</span> <span class="keyword">bool</span> <a class="link" href="student_t_distribution.html#idp54939256-bb"><span class="keyword">operator</span><span class="special">!=</span></a><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">,</span> 
                         <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span><span class="special">)</span><span class="special">;</span>
<span class="special">}</span><span class="special">;</span></pre></div>
<div class="refsect1">
<a name="idp197883832"></a><h2>Description</h2>
<p>The Student t distribution is a real valued distribution with one parameter n, the number of degrees of freedom.</p>
<p>It has <span class="inlinemediaobject"><img src="../../images/random//form_18.png"></span>. </p>
<div class="refsect2">
<a name="idp197885832"></a><h3>
<a name="boost.random.student_t_distributionconstruct-copy-destruct"></a><code class="computeroutput">student_t_distribution</code> 
        public
       construct/copy/destruct</h3>
<div class="orderedlist"><ol class="orderedlist" type="1">
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp46429896-bb"></a><span class="identifier">student_t_distribution</span><span class="special">(</span><span class="identifier">RealType</span> n <span class="special">=</span> <span class="number">1</span><span class="special">.</span><span class="number">0</span><span class="special">)</span><span class="special">;</span></pre>
<p>Constructs an <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> with "n" degrees of freedom.</p>
<p>Requires: n &gt; 0 </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">explicit</span> <a name="idp45855208-bb"></a><span class="identifier">student_t_distribution</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span><span class="special">;</span></pre>
<p>Constructs an <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> from its parameters. </p>
</li>
</ol></div>
</div>
<div class="refsect2">
<a name="idp197896104"></a><h3>
<a name="idp51817688-bb"></a><code class="computeroutput">student_t_distribution</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> URNG<span class="special">&gt;</span> <span class="identifier">RealType</span> <a name="idp51817896-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span> urng<span class="special">)</span><span class="special">;</span></pre>
<p>Returns a random variate distributed according to the Student t distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> URNG<span class="special">&gt;</span> 
  <span class="identifier">RealType</span> <a name="idp54407208-bb"></a><span class="keyword">operator</span><span class="special">(</span><span class="special">)</span><span class="special">(</span><span class="identifier">URNG</span> <span class="special">&amp;</span> urng<span class="special">,</span> <span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns a random variate distributed accordint to the Student t distribution with parameters specified by <code class="computeroutput">param</code>. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp46424936-bb"></a><span class="identifier">n</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the number of degrees of freedom. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp46425640-bb"></a><span class="identifier">min</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the smallest value that the distribution can produce. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="identifier">RealType</span> <a name="idp46426360-bb"></a><span class="identifier">max</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the largest value that the distribution can produce. </p>
</li>
<li class="listitem">
<pre class="literallayout"><a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <a name="idp46427080-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="special">)</span> <span class="keyword">const</span><span class="special">;</span></pre>
<p>Returns the parameters of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp46427848-bb"></a><span class="identifier">param</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution/param_type.html" title="Class param_type">param_type</a> <span class="special">&amp;</span> param<span class="special">)</span><span class="special">;</span></pre>
<p>Sets the parameters of the distribution. </p>
</li>
<li class="listitem">
<pre class="literallayout"><span class="keyword">void</span> <a name="idp46429112-bb"></a><span class="identifier">reset</span><span class="special">(</span><span class="special">)</span><span class="special">;</span></pre>
<p>Effects: Subsequent uses of the distribution do not depend on values produced by any engine prior to invoking reset. </p>
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<a name="idp197924968"></a><h3>
<a name="idp45856648-bb"></a><code class="computeroutput">student_t_distribution</code> friend functions</h3>
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<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
  <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
  <a name="idp45856856-bb"></a><span class="keyword">operator</span><span class="special">&lt;&lt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_ostream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> os<span class="special">,</span> 
             <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> td<span class="special">)</span><span class="special">;</span></pre>
<p>Writes a <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> to a <code class="computeroutput">std::ostream</code>. </p>
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<pre class="literallayout"><span class="keyword">template</span><span class="special">&lt;</span><span class="keyword">typename</span> CharT<span class="special">,</span> <span class="keyword">typename</span> Traits<span class="special">&gt;</span> 
  <span class="keyword">friend</span> <span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> 
  <a name="idp19094984-bb"></a><span class="keyword">operator</span><span class="special">&gt;&gt;</span><span class="special">(</span><span class="identifier">std</span><span class="special">::</span><span class="identifier">basic_istream</span><span class="special">&lt;</span> <span class="identifier">CharT</span><span class="special">,</span> <span class="identifier">Traits</span> <span class="special">&gt;</span> <span class="special">&amp;</span> is<span class="special">,</span> 
             <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> td<span class="special">)</span><span class="special">;</span></pre>
<p>Reads a <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> from a <code class="computeroutput">std::istream</code>. </p>
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<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp53175912-bb"></a><span class="keyword">operator</span><span class="special">==</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span> 
                       <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two instances of <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> will return identical sequences of values given equal generators. </p>
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<pre class="literallayout"><span class="keyword">friend</span> <span class="keyword">bool</span> <a name="idp54939256-bb"></a><span class="keyword">operator</span><span class="special">!=</span><span class="special">(</span><span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> lhs<span class="special">,</span> 
                       <span class="keyword">const</span> <a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a> <span class="special">&amp;</span> rhs<span class="special">)</span><span class="special">;</span></pre>
<p>Returns true if the two instances of <code class="computeroutput"><code class="computeroutput"><a class="link" href="student_t_distribution.html" title="Class template student_t_distribution">student_t_distribution</a></code></code> will return different sequences of values given equal generators. </p>
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