| Name | Description | Type | Package | Framework |
| AbstractIntegerDistribution | Base class for integer-valued discrete distributions. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| AbstractMultivariateRealDistribution | Base class for multivariate probability distributions. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| AbstractRealDistribution | Base class for probability distributions on the reals. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| BetaDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| BinomialDistribution | See Also:Binomial distribution (Wikipedia), Binomial Distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| CauchyDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| ChiSquaredDistribution | See Also:Chi-squared distribution (Wikipedia), Chi-squared Distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| ConstantRealDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| EnumeratedDistribution | A generic implementation of a discrete probability distribution (Wikipedia) over a finite sample space, | Class | org.apache.commons.math3.distribution | Apache Commons |
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| EnumeratedIntegerDistribution | Values with zero-probability are allowed but they do not extend the Duplicate values are allowed. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| EnumeratedRealDistribution | Values with zero-probability are allowed but they do not extend the Duplicate values are allowed. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| ExponentialDistribution | See Also:Exponential distribution (Wikipedia), Exponential distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| FDistribution | See Also:F-distribution (Wikipedia), F-distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| GammaDistribution | See Also:Gamma distribution (Wikipedia), Gamma distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| GeometricDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| GumbelDistribution | This class implements the Gumbel distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| HypergeometricDistribution | See Also:Hypergeometric distribution (Wikipedia), Hypergeometric distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| IntegerDistribution | Interface for distributions on the integers. | Interface | org.apache.commons.math3.distribution | Apache Commons |
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| KolmogorovSmirnovDistribution | Treats the distribution of the two-sided P(D_n < d) where D_n = sup_x G(x) - G_n (x) for the theoretical cdf G and | Class | org.apache.commons.math3.distribution | Apache Commons |
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| LaplaceDistribution | This class implements the Laplace distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| LevyDistribution | This class implements the Since:3. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| LogisticDistribution | This class implements the Logistic distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| LogNormalDistribution | X is log-normally distributed if its natural logarithm log(X) is normally distributed. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| MixtureMultivariateNormalDistribution | Multivariate normal mixture distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| MixtureMultivariateRealDistribution | Class for representing mixture model distributions. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| MultivariateNormalDistribution | Multivariate normal distribution (Wikipedia), Multivariate normal distribution (MathWorld) | Class | org.apache.commons.math3.distribution | Apache Commons |
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| MultivariateNormalMixtureExpectationMaximization | Expectation-Maximization algorithm for fitting the parameters of multivariate normal mixture model distributions. | Class | org.apache.commons.math3.distribution.fitting | Apache Commons |
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| MultivariateRealDistribution | Base interface for multivariate distributions on the reals. | Interface | org.apache.commons.math3.distribution | Apache Commons |
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| NakagamiDistribution | This class implements the Nakagami distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| NormalDistribution | See Also:Normal distribution (Wikipedia), Normal distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| ParetoDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| PascalDistribution | Implementation of the Pascal distribution. | Class | org.apache.commons.math3.distribution | Apache Commons |
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| PoissonDistribution | See Also:Poisson distribution (Wikipedia), Poisson distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| RealDistribution | Base interface for distributions on the reals. | Interface | org.apache.commons.math3.distribution | Apache Commons |
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| TDistribution | See Also:Student's t-distribution (Wikipedia), Student's t-distribution (MathWorld), | Class | org.apache.commons.math3.distribution | Apache Commons |
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| TriangularDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| UniformIntegerDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| UniformRealDistribution | | Class | org.apache.commons.math3.distribution | Apache Commons |
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| WeibullDistribution | two parameter form of the distribution defined by Weibull Distribution, equations (1) and (2). | Class | org.apache.commons.math3.distribution | Apache Commons |
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| ZipfDistribution | For a random variable X whose values are distributed according to this distribution, the probability mass function is given by | Class | org.apache.commons.math3.distribution | Apache Commons |