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 <h2 title="Class UniformIntegerDistribution" class="title">Class UniformIntegerDistribution</h2>
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 <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>
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 <li>org.apache.commons.math3.distribution.UniformIntegerDistribution</li>
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 <dd><a href="http://docs.oracle.com/javase/6/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">Version:</span></dt>
   <dd>$Id: UniformIntegerDistribution.java 1510924 2013-08-06 12:22:47Z erans $</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>
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 <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>
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 <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, int)">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, int, int)">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>
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 <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>
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 <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, int)">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, int, int)">solveInverseCumulativeProbability</a></code></li>
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 <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).</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)">
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 <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>
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 <a name="probability(int)">
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 <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>
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 <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()">
 <!--   -->
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 <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>
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 <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>
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 <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>
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 <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>
 </li>
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