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611 lines
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<a href="../MathNet.Numerics.Distributions/SkewedGeneralizedT.htm">SkewedGeneralizedT</a>
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<a href="../MathNet.Numerics.Distributions/Stable.htm">Stable</a>
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<a href="../MathNet.Numerics.Distributions/Triangular.htm">Triangular</a>
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<a href="../MathNet.Numerics.Distributions/TruncatedPareto.htm">TruncatedPareto</a>
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<a href="../MathNet.Numerics.Distributions/Weibull.htm">Weibull</a>
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<a href="../MathNet.Numerics.Distributions/Wishart.htm">Wishart</a>
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<a href="../MathNet.Numerics.Distributions/Zipf.htm">Zipf</a>
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</ul>
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</div>
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</div>
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<div class="header">
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<p class="class"><strong>Type</strong> Multinomial</p>
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<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p>
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<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IDistribution.htm">IDistribution</a></p>
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</div>
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<div class="sub-header">
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<div id="summary">Multivariate Multinomial distribution. For details about this distribution, see. <blockquote class="remarks">
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The distribution is parameterized by a vector of ratios: in other words, the parameter
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does not have to be normalized and sum to 1. The reason is that some vectors can't be exactly normalized
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to sum to 1 in floating point representation.
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</blockquote>
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</div>
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<h3 class="section">Constructors</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#.ctor">Multinomial</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#.ctor">Multinomial</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#.ctor">Multinomial</a></li>
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</ul>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#IsValidParameterSet">IsValidParameterSet</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Sample">Sample</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Samples">Samples</a></li>
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</ul>
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<h3 class="section">Methods</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Equals">Equals</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#GetHashCode">GetHashCode</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#GetType">GetType</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Probability">Probability</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#ProbabilityLn">ProbabilityLn</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Sample">Sample</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Samples">Samples</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#ToString">ToString</a></li>
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</ul>
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<h3 class="section">Properties</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Mean">Mean</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#N">N</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#P">P</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#RandomSource">RandomSource</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Skewness">Skewness</a></li>
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<li><a href="../MathNet.Numerics.Distributions/Multinomial.htm#Variance">Variance</a></li>
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</ul>
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</div>
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<h3 class="section">Public Constructors</h3>
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<div id=".ctor" class="method">
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<h4> <strong>Multinomial</strong>(<span title="System.Double[]">Double[]</span> p, <span title="System.int">int</span> n)</h4>
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<div class="content">Initializes a new instance of the Multinomial class.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Double[]">Double[]</span></code> p</h6>
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<p class="comments">An array of nonnegative ratios: this array does not need to be normalized
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as this is often impossible using floating point arithmetic. </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of trials. </p>
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</div>
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</div>
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</div>
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<div id=".ctor" class="method">
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<h4> <strong>Multinomial</strong>(<span title="System.Double[]">Double[]</span> p, <span title="System.int">int</span> n, <span title="System.Random">Random</span> randomSource)</h4>
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<div class="content">Initializes a new instance of the Multinomial class.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Double[]">Double[]</span></code> p</h6>
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<p class="comments">An array of nonnegative ratios: this array does not need to be normalized
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as this is often impossible using floating point arithmetic. </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of trials. </p>
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<h6><code><span title="System.Random">Random</span></code> randomSource</h6>
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<p class="comments">The random number generator which is used to draw random samples. </p>
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</div>
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</div>
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</div>
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<div id=".ctor" class="method">
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<h4> <strong>Multinomial</strong>(<a href="../MathNet.Numerics.Statistics/Histogram.htm">Histogram</a> h, <span title="System.int">int</span> n)</h4>
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<div class="content">Initializes a new instance of the Multinomial class from histogram <var>h</var>. The distribution will
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not be automatically updated when the histogram changes.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><a href="../MathNet.Numerics.Statistics/Histogram.htm">Histogram</a></code> h</h6>
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<p class="comments">Histogram instance </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of trials. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="IsValidParameterSet" class="method">
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<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span> p, <span title="System.int">int</span> n)</h4>
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<div class="content">Tests whether the provided values are valid parameters for this distribution.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable<double></span></code> p</h6>
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<p class="comments">An array of nonnegative ratios: this array does not need to be normalized
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as this is often impossible using floating point arithmetic. </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of trials. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.bool">bool</span></code></h6>
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<p>If any of the probabilities are negative returns <code>false</code> ,
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if the sum of parameters is 0.0, or if the number of trials is negative; otherwise <code>true</code>. </p>
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</div>
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</div>
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</div>
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<div id="Sample" class="method">
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<h4><span title="System.Int32[]">Int32[]</span> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> p, <span title="System.int">int</span> n)</h4>
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<div class="content">Samples one multinomial distributed random variable.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Random">Random</span></code> rnd</h6>
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<p class="comments">The random number generator to use. </p>
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<h6><code><span title="System.Double[]">Double[]</span></code> p</h6>
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<p class="comments">An array of nonnegative ratios: this array does not need to be normalized
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as this is often impossible using floating point arithmetic. </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of trials. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Int32[]">Int32[]</span></code></h6>
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<p>the counts for each of the different possible values. </p>
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</div>
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</div>
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</div>
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<div id="Samples" class="method">
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<h4><span title="System.Collections.Generic.IEnumerable<Int32[]>">IEnumerable<Int32[]></span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> p, <span title="System.int">int</span> n)</h4>
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<div class="content">Samples a multinomially distributed random variable.
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<div class="parameters">
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<h5>Parameters</h5>
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<h6><code><span title="System.Random">Random</span></code> rnd</h6>
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<p class="comments">The random number generator to use. </p>
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<h6><code><span title="System.Double[]">Double[]</span></code> p</h6>
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<p class="comments">An array of nonnegative ratios: this array does not need to be normalized
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as this is often impossible using floating point arithmetic. </p>
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<h6><code><span title="System.int">int</span></code> n</h6>
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<p class="comments">The number of variables needed. </p>
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</div>
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<div class="return">
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<h5>Return</h5>
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<h6><code><span title="System.Collections.Generic.IEnumerable<Int32[]>">IEnumerable<Int32[]></span></code></h6>
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<p>a sequence of counts for each of the different possible values. </p>
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</div>
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</div>
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</div>
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<h3 class="section">Public Methods</h3>
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<div id="Equals" class="method">
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<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetHashCode" class="method">
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<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="GetType" class="method">
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<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4>
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<div class="content">
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</div>
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</div>
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<div id="Probability" class="method">
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<h4><span title="System.double">double</span> <strong>Probability</strong>(<span title="System.Int32[]">Int32[]</span> x)</h4>
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<div class="content">Computes values of the probability mass function.
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<div class="parameters">
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|
<h5>Parameters</h5>
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<h6><code><span title="System.Int32[]">Int32[]</span></code> x</h6>
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|
<p class="comments">Non-negative integers x1,..., xk </p>
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|
</div>
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<div class="return">
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|
<h5>Return</h5>
|
|
<h6><code><span title="System.double">double</span></code></h6>
|
|
<p>The probability mass at location <var>x</var>. </p>
|
|
</div>
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|
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|
</div>
|
|
</div>
|
|
<div id="ProbabilityLn" class="method">
|
|
<h4><span title="System.double">double</span> <strong>ProbabilityLn</strong>(<span title="System.Int32[]">Int32[]</span> x)</h4>
|
|
<div class="content">Computes values of the log probability mass function.
|
|
|
|
|
|
<div class="parameters">
|
|
<h5>Parameters</h5>
|
|
|
|
<h6><code><span title="System.Int32[]">Int32[]</span></code> x</h6>
|
|
<p class="comments">Non-negative integers x1,..., xk </p>
|
|
</div>
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.double">double</span></code></h6>
|
|
<p>The log probability mass at location <var>x</var>. </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Sample" class="method">
|
|
<h4><span title="System.Int32[]">Int32[]</span> <strong>Sample</strong>()</h4>
|
|
<div class="content">Samples one multinomial distributed random variable.
|
|
|
|
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Int32[]">Int32[]</span></code></h6>
|
|
<p>the counts for each of the different possible values. </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Samples" class="method">
|
|
<h4><span title="System.Collections.Generic.IEnumerable<Int32[]>">IEnumerable<Int32[]></span> <strong>Samples</strong>()</h4>
|
|
<div class="content">Samples a sequence multinomially distributed random variables.
|
|
|
|
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.Collections.Generic.IEnumerable<Int32[]>">IEnumerable<Int32[]></span></code></h6>
|
|
<p>a sequence of counts for each of the different possible values. </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
<div id="ToString" class="method">
|
|
<h4><span title="System.string">string</span> <strong>ToString</strong>()</h4>
|
|
<div class="content">A string representation of the distribution.
|
|
|
|
|
|
|
|
<div class="return">
|
|
<h5>Return</h5>
|
|
<h6><code><span title="System.string">string</span></code></h6>
|
|
<p>a string representation of the distribution. </p>
|
|
</div>
|
|
|
|
</div>
|
|
</div>
|
|
|
|
<h3 class="section">Public Properties</h3>
|
|
|
|
<div id="Mean" class="method">
|
|
<h4><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a> <strong>Mean</strong> get; </h4>
|
|
<div class="content">Gets the mean of the distribution.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="N" class="method">
|
|
<h4><span title="System.int">int</span> <strong>N</strong> get; </h4>
|
|
<div class="content">Gets the number of trials.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="P" class="method">
|
|
<h4><span title="System.Double[]">Double[]</span> <strong>P</strong> get; </h4>
|
|
<div class="content">Gets the proportion of ratios.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="RandomSource" class="method">
|
|
<h4><span title="System.Random">Random</span> <strong>RandomSource</strong> get; set;</h4>
|
|
<div class="content">Gets or sets the random number generator which is used to draw random samples.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Skewness" class="method">
|
|
<h4><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a> <strong>Skewness</strong> get; </h4>
|
|
<div class="content">Gets the skewness of the distribution.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="Variance" class="method">
|
|
<h4><a href="../MathNet.Numerics.LinearAlgebra/Vector`1.htm">Vector<T></a> <strong>Variance</strong> get; </h4>
|
|
<div class="content">Gets the variance of the distribution.
|
|
|
|
</div>
|
|
</div>
|
|
<div id="footer">
|
|
<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
|
|
<p>Generated by <a href="http://docu.jagregory.com">docu</a></p>
|
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</div>
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</body>
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</html>
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