======================= Probabilistic modelling ======================= .. currentmodule:: openturns .. _parametric_distributions: Continuous parametric distributions =================================== .. autosummary:: :toctree: _generated/ :template: class.rst_t Distribution DistributionCollection EllipticalDistribution PythonDistribution ChaospyDistribution SciPyDistribution .. autosummary:: :toctree: _generated/ :template: Distribution.rst_t Arcsine :template: classWithPlot.rst_t Beta Burr :template: Distribution.rst_t Chi ChiSquare :template: classWithPlot.rst_t Dirichlet :template: Distribution.rst_t Epanechnikov Exponential :template: classWithPlot.rst_t FisherSnedecor :template: Distribution.rst_t Frechet :template: classWithPlot.rst_t Gamma GeneralizedExtremeValue GeneralizedPareto :template: Distribution.rst_t Gumbel Histogram InverseChiSquare InverseGamma InverseNormal InverseWishart Laplace Logistic LogNormal LogUniform MeixnerDistribution NonCentralChiSquare NonCentralStudent Normal :template: classWithPlot.rst_t NormalGamma :template: Distribution.rst_t Pareto Rayleigh Rice SmoothedUniform SquaredNormal Student Trapezoidal Triangular TruncatedNormal :template: classWithPlot.rst_t TruncatedOverMesh :template: Distribution.rst_t Uniform :template: classWithPlot.rst_t UniformOverMesh experimental.UniformOrderStatistics experimental.MarginalUniformOrderStatistics :template: Distribution.rst_t VonMises :template: classWithPlot.rst_t WeibullMin WeibullMax :template: Distribution.rst_t Wishart Discrete parametric distributions ================================= .. autosummary:: :toctree: _generated/ :template: Distribution.rst_t Bernoulli Binomial :template: classWithPlot.rst_t experimental.CombinationsDistribution :template: Distribution.rst_t Dirac Geometric Hypergeometric Multinomial :template: classWithPlot.rst_t Polya KPermutationsDistribution :template: Distribution.rst_t Poisson Skellam UserDefined ZipfMandelbrot Parametrized distributions ========================== .. autosummary:: :toctree: _generated/ :template: class.rst_t ParametrizedDistribution DistributionParameters ArcsineMuSigma BetaMuSigma GammaMuSigma GumbelLambdaGamma GumbelMuSigma LogNormalMuSigma LogNormalMuSigmaOverMu LogNormalMuErrorFactor UniformMuSigma WeibullMaxMuSigma WeibullMinMuSigma Pseudo-random numbers generator =============================== .. autosummary:: :toctree: _generated/ :template: class.rst_t RandomGenerator RandomGeneratorState Combining and transforming distributions ======================================== .. autosummary:: :toctree: _generated/ :template: classWithPlot.rst_t JointByConditioningDistribution :template: DistributionHighDimension.rst_t BlockIndependentDistribution JointDistribution :template: classWithPlot.rst_t CompositeDistribution :template: Distribution.rst_t DeconditionedDistribution :template: classWithPlot.rst_t experimental.PointConditionalDistribution :template: Distribution.rst_t CumulativeDistributionNetwork DiscreteCompoundDistribution :template: class.rst_t MarginalDistribution :template: Distribution.rst_t MaximumDistribution :template: classWithPlot.rst_t MaximumEntropyOrderStatisticsDistribution .. autosummary:: :toctree: _generated/ :template: class.rst_t MixedHistogramUserDefined OrderStatisticsMarginalChecker experimental.PosteriorDistribution .. autosummary:: :toctree: _generated/ :template: Distribution.rst_t ProductDistribution RandomMixture .. autosummary:: :toctree: _generated/ :template: Distribution.rst_t TruncatedDistribution KernelMixture :template: classWithPlot.rst_t Mixture .. _copulas: Copulas ======= Refer to :ref:`copula`. .. autosummary:: :toctree: _generated/ :template: class.rst_t ArchimedeanCopula .. autosummary:: :toctree: _generated/ :template: Copula.rst_t AliMikhailHaqCopula ClaytonCopula EmpiricalBernsteinCopula FarlieGumbelMorgensternCopula FrankCopula GumbelCopula IndependentCopula PlackettCopula ExtremeValueCopula JoeCopula GalambosCopula :template: classWithPlot.rst_t MarshallOlkinCopula :template: class.rst_t MinCopula :template: Copula.rst_t NormalCopula StudentCopula Combining and transforming copulas ================================== .. autosummary:: :toctree: _generated/ :template: DistributionHighDimension.rst_t BlockIndependentCopula :template: Copula.rst_t SklarCopula :template: classWithPlot.rst_t OrdinalSumCopula Random vectors ============== .. autosummary:: :toctree: _generated/ :template: class.rst_t RandomVector :template: classWithPlot.rst_t PythonRandomVector CompositeRandomVector DeconditionedRandomVector :template: class.rst_t ConstantRandomVector :template: classWithPlot.rst_t UsualRandomVector experimental.RatioOfUniforms Low-level distribution functions ================================ .. autosummary:: :toctree: _generated/ :template: function.rst_t DistFunc.dBinomial DistFunc.dHypergeometric DistFunc.dNonCentralChiSquare DistFunc.dNonCentralStudent DistFunc.dNormal DistFunc.dPoisson DistFunc.eZ1 DistFunc.kFactor DistFunc.kFactorPooled DistFunc.logdBinomial DistFunc.logdHypergeometric DistFunc.logdNormal DistFunc.logdPoisson DistFunc.logpNormal DistFunc.pBeta DistFunc.pDickeyFullerConstant DistFunc.pDickeyFullerNoConstant DistFunc.pDickeyFullerTrend DistFunc.pGamma DistFunc.pHypergeometric DistFunc.pKolmogorov DistFunc.pNonCentralChiSquare DistFunc.pNonCentralStudent DistFunc.pNormal DistFunc.pNormal2D DistFunc.pNormal3D DistFunc.pPearsonCorrelation DistFunc.pSpearmanCorrelation DistFunc.pStudent DistFunc.pStudent2D DistFunc.qBeta DistFunc.qDickeyFullerConstant DistFunc.qDickeyFullerNoConstant DistFunc.qDickeyFullerTrend DistFunc.qGamma DistFunc.qNormal DistFunc.qPoisson DistFunc.qStudent DistFunc.rBeta DistFunc.rBinomial DistFunc.rDiscrete DistFunc.rGamma DistFunc.rHypergeometric DistFunc.rNonCentralChiSquare DistFunc.rNonCentralStudent DistFunc.rNormal DistFunc.rPoisson DistFunc.rStudent DistFunc.rUniformSegment DistFunc.rUniformTriangle DistFunc.rUniformTetrahedron DistFunc.rUniformSimplex .. _isoprobabilistic_transformations: Isoprobabilistic transformation =============================== Refer to :ref:`isoprobabilistic_transformation`. .. currentmodule:: openturns .. autosummary:: :toctree: _generated/ :template: class.rst_t DistributionTransformation MarginalTransformationEvaluation MarginalTransformationGradient MarginalTransformationHessian InverseNatafEllipticalCopulaEvaluation InverseNatafEllipticalCopulaGradient InverseNatafEllipticalCopulaHessian NatafEllipticalCopulaEvaluation NatafEllipticalCopulaGradient NatafEllipticalCopulaHessian InverseNatafIndependentCopulaEvaluation InverseNatafIndependentCopulaGradient InverseNatafIndependentCopulaHessian NatafIndependentCopulaEvaluation NatafIndependentCopulaGradient NatafIndependentCopulaHessian InverseNatafEllipticalDistributionEvaluation InverseNatafEllipticalDistributionGradient InverseNatafEllipticalDistributionHessian NatafEllipticalDistributionEvaluation NatafEllipticalDistributionGradient NatafEllipticalDistributionHessian InverseRosenblattEvaluation RosenblattEvaluation