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+<li><a href="#fields_inherited_from_class_org.apache.commons.math3.distribution.AbstractIntegerDistribution">Field</a>&nbsp;|&nbsp;</li>
+<li><a href="#constructor_summary">Constr</a>&nbsp;|&nbsp;</li>
+<li><a href="#method_summary">Method</a></li>
+</ul>
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+<li>Detail:&nbsp;</li>
+<li>Field&nbsp;|&nbsp;</li>
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+<!-- ======== START OF CLASS DATA ======== -->
+<div class="header">
+<div class="subTitle">org.apache.commons.math3.distribution</div>
+<h2 title="Class UniformIntegerDistribution" class="title">Class UniformIntegerDistribution</h2>
+</div>
+<div class="contentContainer">
+<ul class="inheritance">
+<li><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">java.lang.Object</a></li>
+<li>
+<ul class="inheritance">
+<li><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">org.apache.commons.math3.distribution.AbstractIntegerDistribution</a></li>
+<li>
+<ul class="inheritance">
+<li>org.apache.commons.math3.distribution.UniformIntegerDistribution</li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+<div class="description">
+<ul class="blockList">
+<li class="blockList">
+<dl>
+<dt>All Implemented Interfaces:</dt>
+<dd><a href="http://docs.oracle.com/javase/7/docs/api/java/io/Serializable.html?is-external=true" title="class or interface in java.io">Serializable</a>, <a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html" title="interface in org.apache.commons.math3.distribution">IntegerDistribution</a></dd>
+</dl>
+<hr>
+<br>
+<pre>public class <span class="strong">UniformIntegerDistribution</span>
+extends <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></pre>
+<div class="block">Implementation of the uniform integer distribution.</div>
+<dl><dt><span class="strong">Since:</span></dt>
+ <dd>3.0</dd>
+<dt><span class="strong">See Also:</span></dt><dd><a href="http://en.wikipedia.org/wiki/Uniform_distribution_(discrete)"
+ >Uniform distribution (discrete), at Wikipedia</a>,
+<a href="../../../../../serialized-form.html#org.apache.commons.math3.distribution.UniformIntegerDistribution">Serialized Form</a></dd></dl>
+</li>
+</ul>
+</div>
+<div class="summary">
+<ul class="blockList">
+<li class="blockList">
+<!-- =========== FIELD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="field_summary">
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+</a>
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+<ul class="blockList">
+<li class="blockList"><a name="fields_inherited_from_class_org.apache.commons.math3.distribution.AbstractIntegerDistribution">
+<!-- -->
+</a>
+<h3>Fields inherited from class&nbsp;org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></h3>
+<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#random">random</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#randomData">randomData</a></code></li>
+</ul>
+</li>
+</ul>
+<!-- ======== CONSTRUCTOR SUMMARY ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_summary">
+<!-- -->
+</a>
+<h3>Constructor Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Constructor Summary table, listing constructors, and an explanation">
+<caption><span>Constructors</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colOne" scope="col">Constructor and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#UniformIntegerDistribution(int,%20int)">UniformIntegerDistribution</a></strong>(int&nbsp;lower,
+ int&nbsp;upper)</code>
+<div class="block">Creates a new uniform integer distribution using the given lower and
+ upper bounds (both inclusive).</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colOne"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#UniformIntegerDistribution(org.apache.commons.math3.random.RandomGenerator,%20int,%20int)">UniformIntegerDistribution</a></strong>(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a>&nbsp;rng,
+ int&nbsp;lower,
+ int&nbsp;upper)</code>
+<div class="block">Creates a new uniform integer distribution using the given lower and
+ upper bounds (both inclusive).</div>
+</td>
+</tr>
+</table>
+</li>
+</ul>
+<!-- ========== METHOD SUMMARY =========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_summary">
+<!-- -->
+</a>
+<h3>Method Summary</h3>
+<table class="overviewSummary" border="0" cellpadding="3" cellspacing="0" summary="Method Summary table, listing methods, and an explanation">
+<caption><span>Methods</span><span class="tabEnd">&nbsp;</span></caption>
+<tr>
+<th class="colFirst" scope="col">Modifier and Type</th>
+<th class="colLast" scope="col">Method and Description</th>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#cumulativeProbability(int)">cumulativeProbability</a></strong>(int&nbsp;x)</code>
+<div class="block">For a random variable <code>X</code> whose values are distributed according
+ to this distribution, this method returns <code>P(X &lt;= x)</code>.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#getNumericalMean()">getNumericalMean</a></strong>()</code>
+<div class="block">Use this method to get the numerical value of the mean of this
+ distribution.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#getNumericalVariance()">getNumericalVariance</a></strong>()</code>
+<div class="block">Use this method to get the numerical value of the variance of this
+ distribution.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#getSupportLowerBound()">getSupportLowerBound</a></strong>()</code>
+<div class="block">Access the lower bound of the support.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#getSupportUpperBound()">getSupportUpperBound</a></strong>()</code>
+<div class="block">Access the upper bound of the support.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>boolean</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#isSupportConnected()">isSupportConnected</a></strong>()</code>
+<div class="block">Use this method to get information about whether the support is
+ connected, i.e.</div>
+</td>
+</tr>
+<tr class="altColor">
+<td class="colFirst"><code>double</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#probability(int)">probability</a></strong>(int&nbsp;x)</code>
+<div class="block">For a random variable <code>X</code> whose values are distributed according
+ to this distribution, this method returns <code>P(X = x)</code>.</div>
+</td>
+</tr>
+<tr class="rowColor">
+<td class="colFirst"><code>int</code></td>
+<td class="colLast"><code><strong><a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#sample()">sample</a></strong>()</code>
+<div class="block">Generate a random value sampled from this distribution.</div>
+</td>
+</tr>
+</table>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_org.apache.commons.math3.distribution.AbstractIntegerDistribution">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;org.apache.commons.math3.distribution.<a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></h3>
+<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#cumulativeProbability(int,%20int)">cumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#inverseCumulativeProbability(double)">inverseCumulativeProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#logProbability(int)">logProbability</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#reseedRandomGenerator(long)">reseedRandomGenerator</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample(int)">sample</a>, <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#solveInverseCumulativeProbability(double,%20int,%20int)">solveInverseCumulativeProbability</a></code></li>
+</ul>
+<ul class="blockList">
+<li class="blockList"><a name="methods_inherited_from_class_java.lang.Object">
+<!-- -->
+</a>
+<h3>Methods inherited from class&nbsp;java.lang.<a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true" title="class or interface in java.lang">Object</a></h3>
+<code><a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#clone()" title="class or interface in java.lang">clone</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#equals(java.lang.Object)" title="class or interface in java.lang">equals</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#finalize()" title="class or interface in java.lang">finalize</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#getClass()" title="class or interface in java.lang">getClass</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#hashCode()" title="class or interface in java.lang">hashCode</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notify()" title="class or interface in java.lang">notify</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#notifyAll()" title="class or interface in java.lang">notifyAll</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#toString()" title="class or interface in java.lang">toString</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait()" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long)" title="class or interface in java.lang">wait</a>, <a href="http://docs.oracle.com/javase/7/docs/api/java/lang/Object.html?is-external=true#wait(long,%20int)" title="class or interface in java.lang">wait</a></code></li>
+</ul>
+</li>
+</ul>
+</li>
+</ul>
+</div>
+<div class="details">
+<ul class="blockList">
+<li class="blockList">
+<!-- ========= CONSTRUCTOR DETAIL ======== -->
+<ul class="blockList">
+<li class="blockList"><a name="constructor_detail">
+<!-- -->
+</a>
+<h3>Constructor Detail</h3>
+<a name="UniformIntegerDistribution(int, int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>UniformIntegerDistribution</h4>
+<pre>public&nbsp;UniformIntegerDistribution(int&nbsp;lower,
+ int&nbsp;upper)
+ throws <a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
+<div class="block">Creates a new uniform integer distribution using the given lower and
+ upper bounds (both inclusive).
+ <p>
+ <b>Note:</b> this constructor will implicitly create an instance of
+ <a href="../../../../../org/apache/commons/math3/random/Well19937c.html" title="class in org.apache.commons.math3.random"><code>Well19937c</code></a> as random generator to be used for sampling only (see
+ <a href="../../../../../org/apache/commons/math3/distribution/UniformIntegerDistribution.html#sample()"><code>sample()</code></a> and <a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample(int)"><code>AbstractIntegerDistribution.sample(int)</code></a>). In case no sampling is
+ needed for the created distribution, it is advised to pass <code>null</code>
+ as random generator via the appropriate constructors to avoid the
+ additional initialisation overhead.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>lower</code> - Lower bound (inclusive) of this distribution.</dd><dd><code>upper</code> - Upper bound (inclusive) of this distribution.</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>lower &gt;= upper</code>.</dd></dl>
+</li>
+</ul>
+<a name="UniformIntegerDistribution(org.apache.commons.math3.random.RandomGenerator, int, int)">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>UniformIntegerDistribution</h4>
+<pre>public&nbsp;UniformIntegerDistribution(<a href="../../../../../org/apache/commons/math3/random/RandomGenerator.html" title="interface in org.apache.commons.math3.random">RandomGenerator</a>&nbsp;rng,
+ int&nbsp;lower,
+ int&nbsp;upper)
+ throws <a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></pre>
+<div class="block">Creates a new uniform integer distribution using the given lower and
+ upper bounds (both inclusive).</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>rng</code> - Random number generator.</dd><dd><code>lower</code> - Lower bound (inclusive) of this distribution.</dd><dd><code>upper</code> - Upper bound (inclusive) of this distribution.</dd>
+<dt><span class="strong">Throws:</span></dt>
+<dd><code><a href="../../../../../org/apache/commons/math3/exception/NumberIsTooLargeException.html" title="class in org.apache.commons.math3.exception">NumberIsTooLargeException</a></code> - if <code>lower &gt; upper</code>.</dd><dt><span class="strong">Since:</span></dt>
+ <dd>3.1</dd></dl>
+</li>
+</ul>
+</li>
+</ul>
+<!-- ============ METHOD DETAIL ========== -->
+<ul class="blockList">
+<li class="blockList"><a name="method_detail">
+<!-- -->
+</a>
+<h3>Method Detail</h3>
+<a name="probability(int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>probability</h4>
+<pre>public&nbsp;double&nbsp;probability(int&nbsp;x)</pre>
+<div class="block">For a random variable <code>X</code> whose values are distributed according
+ to this distribution, this method returns <code>P(X = x)</code>. In other
+ words, this method represents the probability mass function (PMF)
+ for the distribution.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the PMF is evaluated</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the value of the probability mass function at <code>x</code></dd></dl>
+</li>
+</ul>
+<a name="cumulativeProbability(int)">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>cumulativeProbability</h4>
+<pre>public&nbsp;double&nbsp;cumulativeProbability(int&nbsp;x)</pre>
+<div class="block">For a random variable <code>X</code> whose values are distributed according
+ to this distribution, this method returns <code>P(X &lt;= x)</code>. In other
+ words, this method represents the (cumulative) distribution function
+ (CDF) for this distribution.</div>
+<dl><dt><span class="strong">Parameters:</span></dt><dd><code>x</code> - the point at which the CDF is evaluated</dd>
+<dt><span class="strong">Returns:</span></dt><dd>the probability that a random variable with this
+ distribution takes a value less than or equal to <code>x</code></dd></dl>
+</li>
+</ul>
+<a name="getNumericalMean()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNumericalMean</h4>
+<pre>public&nbsp;double&nbsp;getNumericalMean()</pre>
+<div class="block">Use this method to get the numerical value of the mean of this
+ distribution.
+
+ For lower bound <code>lower</code> and upper bound <code>upper</code>, the mean is
+ <code>0.5 * (lower + upper)</code>.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>the mean or <code>Double.NaN</code> if it is not defined</dd></dl>
+</li>
+</ul>
+<a name="getNumericalVariance()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getNumericalVariance</h4>
+<pre>public&nbsp;double&nbsp;getNumericalVariance()</pre>
+<div class="block">Use this method to get the numerical value of the variance of this
+ distribution.
+
+ For lower bound <code>lower</code> and upper bound <code>upper</code>, and
+ <code>n = upper - lower + 1</code>, the variance is <code>(n^2 - 1) / 12</code>.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>the variance (possibly <code>Double.POSITIVE_INFINITY</code> or
+ <code>Double.NaN</code> if it is not defined)</dd></dl>
+</li>
+</ul>
+<a name="getSupportLowerBound()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getSupportLowerBound</h4>
+<pre>public&nbsp;int&nbsp;getSupportLowerBound()</pre>
+<div class="block">Access the lower bound of the support. This method must return the same
+ value as <code>inverseCumulativeProbability(0)</code>. In other words, this
+ method must return
+ <p><code>inf {x in Z | P(X <= x) > 0}</code>.</p>
+
+ The lower bound of the support is equal to the lower bound parameter
+ of the distribution.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>lower bound of the support</dd></dl>
+</li>
+</ul>
+<a name="getSupportUpperBound()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>getSupportUpperBound</h4>
+<pre>public&nbsp;int&nbsp;getSupportUpperBound()</pre>
+<div class="block">Access the upper bound of the support. This method must return the same
+ value as <code>inverseCumulativeProbability(1)</code>. In other words, this
+ method must return
+ <p><code>inf {x in R | P(X <= x) = 1}</code>.</p>
+
+ The upper bound of the support is equal to the upper bound parameter
+ of the distribution.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd>upper bound of the support</dd></dl>
+</li>
+</ul>
+<a name="isSupportConnected()">
+<!-- -->
+</a>
+<ul class="blockList">
+<li class="blockList">
+<h4>isSupportConnected</h4>
+<pre>public&nbsp;boolean&nbsp;isSupportConnected()</pre>
+<div class="block">Use this method to get information about whether the support is
+ connected, i.e. whether all integers between the lower and upper bound of
+ the support are included in the support.
+
+ The support of this distribution is connected.</div>
+<dl><dt><span class="strong">Returns:</span></dt><dd><code>true</code></dd></dl>
+</li>
+</ul>
+<a name="sample()">
+<!-- -->
+</a>
+<ul class="blockListLast">
+<li class="blockList">
+<h4>sample</h4>
+<pre>public&nbsp;int&nbsp;sample()</pre>
+<div class="block">Generate a random value sampled from this distribution.
+
+ The default implementation uses the
+ <a href="http://en.wikipedia.org/wiki/Inverse_transform_sampling">
+ inversion method</a>.</div>
+<dl>
+<dt><strong>Specified by:</strong></dt>
+<dd><code><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html#sample()">sample</a></code>&nbsp;in interface&nbsp;<code><a href="../../../../../org/apache/commons/math3/distribution/IntegerDistribution.html" title="interface in org.apache.commons.math3.distribution">IntegerDistribution</a></code></dd>
+<dt><strong>Overrides:</strong></dt>
+<dd><code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html#sample()">sample</a></code>&nbsp;in class&nbsp;<code><a href="../../../../../org/apache/commons/math3/distribution/AbstractIntegerDistribution.html" title="class in org.apache.commons.math3.distribution">AbstractIntegerDistribution</a></code></dd>
+<dt><span class="strong">Returns:</span></dt><dd>a random value</dd></dl>
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