Bounded Domain Distributions

Bounded domain distributions naturally come up when random variables should only vary in a finite interval. Some distributions, like beta, occur in a variety of ways, including as order statistics of an underlying uniform distribution or as a model for fractions of some quantity. In general, any unbounded domain distribution can be made to have a bounded domain by using operations such as truncation.

ReferenceReference

Continuous Distributions

UniformDistribution continuous uniform distribution

BetaDistribution beta distribution

ArcSinDistribution ▪ BatesDistribution ▪ KumaraswamyDistribution ▪ NoncentralBetaDistribution ▪ PERTDistribution ▪ PowerDistribution ▪ TriangularDistribution ▪ UniformSumDistribution ▪ VonMisesDistribution ▪ WignerSemicircleDistribution

Discrete Distributions

BernoulliDistribution Bernoulli trial distribution

BinomialDistribution binomial distribution

DiscreteUniformDistribution ▪ BenfordDistribution ▪ BetaBinomialDistribution ▪ HypergeometricDistribution ▪ FisherHypergeometricDistribution ▪ WalleniusHypergeometricDistribution ▪ ZipfDistribution

Derived Distributions

Distributions can be made to have bounded domains by modifying existing distributions.

TruncatedDistribution truncate any distribution

CensoredDistribution censor any distribution

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