Imported Upstream version 1.72.0
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@@ -4,7 +4,7 @@
 <title>Geometric 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="gamma_dist.html" title="Gamma (and Erlang) Distribution">
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 <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">geometric_distribution</span><span class="special">;</span>
 
 <span class="keyword">typedef</span> <span class="identifier">geometric_distribution</span><span class="special">&lt;&gt;</span> <span class="identifier">geometric</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">geometric_distribution</span>
 <span class="special">{</span>
 <span class="keyword">public</span><span class="special">:</span>
         </p>
 <p>
           The probability that there are <span class="emphasis"><em>k</em></span> failures before the
-          first success is
-        </p>
-<p>
-          &#8192;&#8192; Pr(Y=<span class="emphasis"><em>k</em></span>) = (1-<span class="emphasis"><em>p</em></span>)<sup><span class="emphasis"><em>k</em></span></sup><span class="emphasis"><em>p</em></span>
+          first success
         </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="serif_italic">Pr(Y=<span class="emphasis"><em>k</em></span>) = (1-<span class="emphasis"><em>p</em></span>)<sup><span class="emphasis"><em>k</em></span></sup> <span class="emphasis"><em>p</em></span></span>
+          </p></blockquote></div>
 <p>
           For example, when throwing a 6-face dice the success probability <span class="emphasis"><em>p</em></span>
-          = 1/6 = 0.1666&#8202;&#775; &#160;. Throwing repeatedly until a <span class="emphasis"><em>three</em></span>
+          = 1/6 = 0.1666&#8202;&#775;. Throwing repeatedly until a <span class="emphasis"><em>three</em></span>
           appears, the probability distribution of the number of times <span class="emphasis"><em>not-a-three</em></span>
           is thrown is geometric.
         </p>
 <p>
           Geometric distribution has the Probability Density Function PDF:
         </p>
-<p>
-          &#8192;&#8192; (1-<span class="emphasis"><em>p</em></span>)<sup><span class="emphasis"><em>k</em></span></sup><span class="emphasis"><em>p</em></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="serif_italic">(1-<span class="emphasis"><em>p</em></span>)<sup><span class="emphasis"><em>k</em></span></sup> <span class="emphasis"><em>p</em></span></span>
+          </p></blockquote></div>
 <p>
           The following graph illustrates how the PDF and CDF vary for three examples
           of the success fraction <span class="emphasis"><em>p</em></span>, (when considering the geometric
           distribution as a continuous function),
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/geometric_pdf_2.svg" align="middle"></span>
-        </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/geometric_cdf_2.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/geometric_pdf_2.svg" align="middle"></span>
+
+          </p></blockquote></div>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/geometric_cdf_2.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <p>
           and as discrete.
         </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/geometric_pdf_discrete.svg" align="middle"></span>
-        </p>
-<p>
-          <span class="inlinemediaobject"><img src="../../../../graphs/geometric_cdf_discrete.svg" align="middle"></span>
-        </p>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/geometric_pdf_discrete.svg" align="middle"></span>
+
+          </p></blockquote></div>
+<div class="blockquote"><blockquote class="blockquote"><p>
+            <span class="inlinemediaobject"><img src="../../../../graphs/geometric_cdf_discrete.svg" align="middle"></span>
+
+          </p></blockquote></div>
 <h5>
 <a name="math_toolkit.dist_ref.dists.geometric_dist.h0"></a>
           <span class="phrase"><a name="math_toolkit.dist_ref.dists.geometric_dist.related_distributions"></a></span><a class="link" href="geometric_dist.html#math_toolkit.dist_ref.dists.geometric_dist.related_distributions">Related