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<div class="header">
<p class="class"><strong>Type</strong> ChiSquared</p>
<p><strong>Namespace</strong> MathNet.Numerics.Distributions</p>
<p><strong>Interfaces</strong> <a href="../MathNet.Numerics.Distributions/IContinuousDistribution.htm">IContinuousDistribution</a></p>
</div>
<div class="sub-header">
<div id="summary">Continuous Univariate Chi-Squared distribution.
This distribution is a sum of the squares of k independent standard normal random variables..
</div>
<h3 class="section">Constructors</h3>
<ul>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#.ctor">ChiSquared</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#.ctor">ChiSquared</a></li>
</ul>
<h3 class="section">Static Functions</h3>
<ul>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#CDF">CDF</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#InvCDF">InvCDF</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#IsValidParameterSet">IsValidParameterSet</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#PDF">PDF</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#PDFLn">PDFLn</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Sample">Sample</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Sample">Sample</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
</ul>
<h3 class="section">Methods</h3>
<ul>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#CumulativeDistribution">CumulativeDistribution</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Density">Density</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#DensityLn">DensityLn</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Equals">Equals</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#GetHashCode">GetHashCode</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#GetType">GetType</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#InverseCumulativeDistribution">InverseCumulativeDistribution</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Sample">Sample</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Samples">Samples</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#ToString">ToString</a></li>
</ul>
<h3 class="section">Properties</h3>
<ul>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#DegreesOfFreedom">DegreesOfFreedom</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Entropy">Entropy</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Maximum">Maximum</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Mean">Mean</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Median">Median</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Minimum">Minimum</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Mode">Mode</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#RandomSource">RandomSource</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Skewness">Skewness</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#StdDev">StdDev</a></li>
<li><a href="../MathNet.Numerics.Distributions/ChiSquared.htm#Variance">Variance</a></li>
</ul>
</div>
<h3 class="section">Public Constructors</h3>
<div id=".ctor" class="method">
<h4> <strong>ChiSquared</strong>(<span title="System.double">double</span> freedom, <span title="System.Random">Random</span> randomSource)</h4>
<div class="content">Initializes a new instance of the <a href="../MathNet.Numerics.Distributions/ChiSquared.htm">ChiSquared</a> class.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
<h6><code><span title="System.Random">Random</span></code> randomSource</h6>
<p class="comments">The random number generator which is used to draw random samples. </p>
</div>
</div>
</div>
<div id=".ctor" class="method">
<h4> <strong>ChiSquared</strong>(<span title="System.double">double</span> freedom)</h4>
<div class="content">Initializes a new instance of the <a href="../MathNet.Numerics.Distributions/ChiSquared.htm">ChiSquared</a> class.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
</div>
</div>
<h3 class="section">Public Static Functions</h3>
<div id="CDF" class="method">
<h4><span title="System.double">double</span> <strong>CDF</strong>(<span title="System.double">double</span> freedom, <span title="System.double">double</span> x)</h4>
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the cumulative distribution function. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the cumulative distribution at location <var>x</var>. </p>
</div>
</div>
</div>
<div id="InvCDF" class="method">
<h4><span title="System.double">double</span> <strong>InvCDF</strong>(<span title="System.double">double</span> freedom, <span title="System.double">double</span> p)</h4>
<div class="content">Computes the inverse of the cumulative distribution function (InvCDF) for the distribution
at the given probability. This is also known as the quantile or percent point function.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
<h6><code><span title="System.double">double</span></code> p</h6>
<p class="comments">The location at which to compute the inverse cumulative density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the inverse cumulative density at <var>p</var>. </p>
</div>
</div>
</div>
<div id="IsValidParameterSet" class="method">
<h4><span title="System.bool">bool</span> <strong>IsValidParameterSet</strong>(<span title="System.double">double</span> freedom)</h4>
<div class="content">Tests whether the provided values are valid parameters for this distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
</div>
</div>
<div id="PDF" class="method">
<h4><span title="System.double">double</span> <strong>PDF</strong>(<span title="System.double">double</span> freedom, <span title="System.double">double</span> x)</h4>
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the density at <var>x</var>. </p>
</div>
</div>
</div>
<div id="PDFLn" class="method">
<h4><span title="System.double">double</span> <strong>PDFLn</strong>(<span title="System.double">double</span> freedom, <span title="System.double">double</span> x)</h4>
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the log density at <var>x</var>. </p>
</div>
</div>
</div>
<div id="Sample" class="method">
<h4><span title="System.double">double</span> <strong>Sample</strong>(<span title="System.double">double</span> freedom)</h4>
<div class="content">Generates a sample from the <code>ChiSquare</code> distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Sample" class="method">
<h4><span title="System.double">double</span> <strong>Sample</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> freedom)</h4>
<div class="content">Generates a sample from the <code>ChiSquare</code> distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.Random">Random</span></code> rnd</h6>
<p class="comments">The random number generator to use. </p>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.double">double</span> freedom)</h4>
<div class="content">Generates a sequence of samples from the distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.Random">Random</span></code> rnd</h6>
<p class="comments">The random number generator to use. </p>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span> <strong>Samples</strong>(<span title="System.double">double</span> freedom)</h4>
<div class="content">Generates a sequence of samples from the distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Double[]">Double[]</span> values, <span title="System.double">double</span> freedom)</h4>
<div class="content">Fills an array with samples generated from the distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6>
<p class="comments">The array to fill with the samples. </p>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.void">void</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Random">Random</span> rnd, <span title="System.Double[]">Double[]</span> values, <span title="System.double">double</span> freedom)</h4>
<div class="content">Fills an array with samples generated from the distribution.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.Random">Random</span></code> rnd</h6>
<p class="comments">The random number generator to use. </p>
<h6><code><span title="System.Double[]">Double[]</span></code> values</h6>
<p class="comments">The array to fill with the samples. </p>
<h6><code><span title="System.double">double</span></code> freedom</h6>
<p class="comments">The degrees of freedom (k) of the distribution. Range: k > 0. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.void">void</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<h3 class="section">Public Methods</h3>
<div id="CumulativeDistribution" class="method">
<h4><span title="System.double">double</span> <strong>CumulativeDistribution</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Computes the cumulative distribution (CDF) of the distribution at x, i.e. P(X ≤ x).
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the cumulative distribution function. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the cumulative distribution at location <var>x</var>. </p>
</div>
</div>
</div>
<div id="Density" class="method">
<h4><span title="System.double">double</span> <strong>Density</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Computes the probability density of the distribution (PDF) at x, i.e. ∂P(X ≤ x)/∂x.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the density at <var>x</var>. </p>
</div>
</div>
</div>
<div id="DensityLn" class="method">
<h4><span title="System.double">double</span> <strong>DensityLn</strong>(<span title="System.double">double</span> x)</h4>
<div class="content">Computes the log probability density of the distribution (lnPDF) at x, i.e. ln(∂P(X ≤ x)/∂x).
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> x</h6>
<p class="comments">The location at which to compute the log density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the log density at <var>x</var>. </p>
</div>
</div>
</div>
<div id="Equals" class="method">
<h4><span title="System.bool">bool</span> <strong>Equals</strong>(<span title="System.object">object</span> obj)</h4>
<div class="content">
</div>
</div>
<div id="GetHashCode" class="method">
<h4><span title="System.int">int</span> <strong>GetHashCode</strong>()</h4>
<div class="content">
</div>
</div>
<div id="GetType" class="method">
<h4><span title="System.Type">Type</span> <strong>GetType</strong>()</h4>
<div class="content">
</div>
</div>
<div id="InverseCumulativeDistribution" class="method">
<h4><span title="System.double">double</span> <strong>InverseCumulativeDistribution</strong>(<span title="System.double">double</span> p)</h4>
<div class="content">Computes the inverse of the cumulative distribution function (InvCDF) for the distribution
at the given probability. This is also known as the quantile or percent point function.
<div class="parameters">
<h5>Parameters</h5>
<h6><code><span title="System.double">double</span></code> p</h6>
<p class="comments">The location at which to compute the inverse cumulative density. </p>
</div>
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>the inverse cumulative density at <var>p</var>. </p>
</div>
</div>
</div>
<div id="Sample" class="method">
<h4><span title="System.double">double</span> <strong>Sample</strong>()</h4>
<div class="content">Generates a sample from the <code>ChiSquare</code> distribution.
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.double">double</span></code></h6>
<p>a sample from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span> <strong>Samples</strong>()</h4>
<div class="content">Generates a sequence of samples from the <code>ChiSquare</code> distribution.
<div class="return">
<h5>Return</h5>
<h6><code><span title="System.Collections.Generic.IEnumerable<double>">IEnumerable&lt;double&gt;</span></code></h6>
<p>a sequence of samples from the distribution. </p>
</div>
</div>
</div>
<div id="Samples" class="method">
<h4><span title="System.void">void</span> <strong>Samples</strong>(<span title="System.Double[]">Double[]</span> values)</h4>
<div class="content">Fills an array with samples generated from the distribution.
</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="DegreesOfFreedom" class="method">
<h4><span title="System.double">double</span> <strong>DegreesOfFreedom</strong> get; </h4>
<div class="content">Gets the degrees of freedom (k) of the Chi-Squared distribution. Range: k > 0.
</div>
</div>
<div id="Entropy" class="method">
<h4><span title="System.double">double</span> <strong>Entropy</strong> get; </h4>
<div class="content">Gets the entropy of the distribution.
</div>
</div>
<div id="Maximum" class="method">
<h4><span title="System.double">double</span> <strong>Maximum</strong> get; </h4>
<div class="content">Gets the maximum of the distribution.
</div>
</div>
<div id="Mean" class="method">
<h4><span title="System.double">double</span> <strong>Mean</strong> get; </h4>
<div class="content">Gets the mean of the distribution.
</div>
</div>
<div id="Median" class="method">
<h4><span title="System.double">double</span> <strong>Median</strong> get; </h4>
<div class="content">Gets the median of the distribution.
</div>
</div>
<div id="Minimum" class="method">
<h4><span title="System.double">double</span> <strong>Minimum</strong> get; </h4>
<div class="content">Gets the minimum of the distribution.
</div>
</div>
<div id="Mode" class="method">
<h4><span title="System.double">double</span> <strong>Mode</strong> get; </h4>
<div class="content">Gets the mode of the distribution.
</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><span title="System.double">double</span> <strong>Skewness</strong> get; </h4>
<div class="content">Gets the skewness of the distribution.
</div>
</div>
<div id="StdDev" class="method">
<h4><span title="System.double">double</span> <strong>StdDev</strong> get; </h4>
<div class="content">Gets the standard deviation of the distribution.
</div>
</div>
<div id="Variance" class="method">
<h4><span title="System.double">double</span> <strong>Variance</strong> get; </h4>
<div class="content">Gets the variance of the distribution.
</div>
</div>
<div id="footer">
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