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<div class="header">
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<p class="class"><strong>Type</strong> KernelDensity</p>
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<p><strong>Namespace</strong> MathNet.Numerics.Statistics</p>
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</div>
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<div class="sub-header">
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<div id="summary">Kernel density estimation (KDE).
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</div>
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<h3 class="section">Static Functions</h3>
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<ul>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#EpanechnikovKernel">EpanechnikovKernel</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#Estimate">Estimate</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#EstimateEpanechnikov">EstimateEpanechnikov</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#EstimateGaussian">EstimateGaussian</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#EstimateTriangular">EstimateTriangular</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#EstimateUniform">EstimateUniform</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#GaussianKernel">GaussianKernel</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#TriangularKernel">TriangularKernel</a></li>
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<li><a href="../MathNet.Numerics.Statistics/KernelDensity.htm#UniformKernel">UniformKernel</a></li>
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</ul>
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</div>
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<h3 class="section">Public Static Functions</h3>
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<div id="EpanechnikovKernel" class="method">
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<h4><span title="System.double">double</span> <strong>EpanechnikovKernel</strong>(<span title="System.double">double</span> x)</h4>
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<div class="content">Epanechnikov Kernel:
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x => Math.Abs(x) <= 1.0 ? 3.0/4.0(1.0-x^2) : 0.0
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</div>
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</div>
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<div id="Estimate" class="method">
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<h4><span title="System.double">double</span> <strong>Estimate</strong>(<span title="System.double">double</span> x, <span title="System.double">double</span> bandwidth, <span title="System.Collections.Generic.IList<double>">IList<double></span> samples, <span title="System.Func<double, double>">Func<double, double></span> kernel)</h4>
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<div class="content">Estimate the probability density function of a random variable. <blockquote class="remarks">
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The routine assumes that the provided kernel is well defined, i.e. a real non-negative function that integrates to 1.
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</blockquote>
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</div>
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</div>
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<div id="EstimateEpanechnikov" class="method">
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<h4><span title="System.double">double</span> <strong>EstimateEpanechnikov</strong>(<span title="System.double">double</span> x, <span title="System.double">double</span> bandwidth, <span title="System.Collections.Generic.IList<double>">IList<double></span> samples)</h4>
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<div class="content">Estimate the probability density function of a random variable with an Epanechnikov kernel.
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The Epanechnikov kernel is optimal in a mean square error sense.
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</div>
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</div>
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<div id="EstimateGaussian" class="method">
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<h4><span title="System.double">double</span> <strong>EstimateGaussian</strong>(<span title="System.double">double</span> x, <span title="System.double">double</span> bandwidth, <span title="System.Collections.Generic.IList<double>">IList<double></span> samples)</h4>
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<div class="content">Estimate the probability density function of a random variable with a Gaussian kernel.
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</div>
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</div>
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<div id="EstimateTriangular" class="method">
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<h4><span title="System.double">double</span> <strong>EstimateTriangular</strong>(<span title="System.double">double</span> x, <span title="System.double">double</span> bandwidth, <span title="System.Collections.Generic.IList<double>">IList<double></span> samples)</h4>
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<div class="content">Estimate the probability density function of a random variable with a triangular kernel.
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</div>
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</div>
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<div id="EstimateUniform" class="method">
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<h4><span title="System.double">double</span> <strong>EstimateUniform</strong>(<span title="System.double">double</span> x, <span title="System.double">double</span> bandwidth, <span title="System.Collections.Generic.IList<double>">IList<double></span> samples)</h4>
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<div class="content">Estimate the probability density function of a random variable with a uniform kernel.
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</div>
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</div>
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<div id="GaussianKernel" class="method">
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<h4><span title="System.double">double</span> <strong>GaussianKernel</strong>(<span title="System.double">double</span> x)</h4>
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<div class="content">A Gaussian kernel (PDF of Normal distribution with mean 0 and variance 1).
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This kernel is the default.
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</div>
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</div>
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<div id="TriangularKernel" class="method">
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<h4><span title="System.double">double</span> <strong>TriangularKernel</strong>(<span title="System.double">double</span> x)</h4>
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<div class="content">Triangular Kernel:
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x => Math.Abs(x) <= 1.0 ? (1.0-Math.Abs(x)) : 0.0
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</div>
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</div>
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<div id="UniformKernel" class="method">
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<h4><span title="System.double">double</span> <strong>UniformKernel</strong>(<span title="System.double">double</span> x)</h4>
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<div class="content">Uniform Kernel:
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x => Math.Abs(x) <= 1.0 ? 1.0/2.0 : 0.0
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<p>Based on v5.0.0.0 of MathNet.Numerics (Math.NET Numerics)</p>
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