Imported Upstream version 1.72.0
[platform/upstream/boost.git] / libs / math / doc / html / math_toolkit / dist_ref / dists / rayleigh.html
index c00ed9d..dc854c6 100644 (file)
@@ -4,7 +4,7 @@
 <title>Rayleigh Distribution</title>
 <link rel="stylesheet" href="../../../math.css" type="text/css">
 <meta name="generator" content="DocBook XSL Stylesheets V1.79.1">
-<link rel="home" href="../../../index.html" title="Math Toolkit 2.10.0">
+<link rel="home" href="../../../index.html" title="Math Toolkit 2.11.0">
 <link rel="up" href="../dists.html" title="Distributions">
 <link rel="prev" href="poisson_dist.html" title="Poisson Distribution">
 <link rel="next" href="skew_normal_dist.html" title="Skew Normal Distribution">
 <pre class="programlisting"><span class="keyword">namespace</span> <span class="identifier">boost</span><span class="special">{</span> <span class="keyword">namespace</span> <span class="identifier">math</span><span class="special">{</span>
 
 <span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span> <span class="special">=</span> <span class="keyword">double</span><span class="special">,</span>
-          <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a>   <span class="special">=</span> <a class="link" href="../../pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy&lt;&gt;</a> <span class="special">&gt;</span>
+          <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a>   <span class="special">=</span> <a class="link" href="../../pol_ref/pol_ref_ref.html" title="Policy Class Reference">policies::policy&lt;&gt;</a> <span class="special">&gt;</span>
 <span class="keyword">class</span> <span class="identifier">rayleigh_distribution</span><span class="special">;</span>
 
 <span class="keyword">typedef</span> <span class="identifier">rayleigh_distribution</span><span class="special">&lt;&gt;</span> <span class="identifier">rayleigh</span><span class="special">;</span>
 
-<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Chapter&#160;19.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
+<span class="keyword">template</span> <span class="special">&lt;</span><span class="keyword">class</span> <span class="identifier">RealType</span><span class="special">,</span> <span class="keyword">class</span> <a class="link" href="../../../policy.html" title="Chapter&#160;20.&#160;Policies: Controlling Precision, Error Handling etc">Policy</a><span class="special">&gt;</span>
 <span class="keyword">class</span> <span class="identifier">rayleigh_distribution</span>
 <span class="special">{</span>
 <span class="keyword">public</span><span class="special">:</span>
           distribution</a> is a continuous distribution with the <a href="http://en.wikipedia.org/wiki/Probability_density_function" target="_top">probability
           density function</a>:
         </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="serif_italic">f(x; sigma) = x * exp(-x<sup>2</sup>/2 &#963;<sup>2</sup>) / &#963;<sup>2</sup></span>
+          </p></blockquote></div>
 <p>
-          f(x; sigma) = x * exp(-x<sup>2</sup>/2 &#963;<sup>2</sup>) / &#963;<sup>2</sup>
-        </p>
-<p>
-          For sigma parameter &#963; &#160; &gt; 0, and x &gt; 0.
+          For sigma parameter <span class="emphasis"><em>&#963;</em></span> &gt; 0, and <span class="emphasis"><em>x</em></span>
+          &gt; 0.
         </p>
 <p>
           The Rayleigh distribution is often used where two orthogonal components
           The following graph illustrates how the Probability density Function(pdf)
           varies with the shape parameter &#963;:
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/rayleigh_pdf.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/rayleigh_pdf.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <p>
           and the Cumulative Distribution Function (cdf)
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/rayleigh_cdf.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/rayleigh_cdf.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <h5>
 <a name="math_toolkit.dist_ref.dists.rayleigh.h0"></a>
           <span class="phrase"><a name="math_toolkit.dist_ref.dists.rayleigh.related_distributions"></a></span><a class="link" href="rayleigh.html#math_toolkit.dist_ref.dists.rayleigh.related_distributions">Related
           <span class="phrase"><a name="math_toolkit.dist_ref.dists.rayleigh.implementation"></a></span><a class="link" href="rayleigh.html#math_toolkit.dist_ref.dists.rayleigh.implementation">Implementation</a>
         </h5>
 <p>
-          In the following table &#963; &#160; is the sigma parameter of the distribution, <span class="emphasis"><em>x</em></span>
+          In the following table &#963; is the sigma parameter of the distribution, <span class="emphasis"><em>x</em></span>
           is the random variate, <span class="emphasis"><em>p</em></span> is the probability and <span class="emphasis"><em>q
           = 1-p</em></span>.
         </p>
                 </td>
 <td>
                   <p>
-                    Using the relation: p = 1 - exp(-x<sup>2</sup>/2) &#963;<sup>2</sup> &#160; = -<a class="link" href="../../powers/expm1.html" title="expm1">expm1</a>(-x<sup>2</sup>/2)
+                    Using the relation: p = 1 - exp(-x<sup>2</sup>/2) &#963;<sup>2</sup>= -<a class="link" href="../../powers/expm1.html" title="expm1">expm1</a>(-x<sup>2</sup>/2)
                     &#963;<sup>2</sup>
                   </p>
                 </td>