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.
UniformDistribution — continuous uniform distribution
BetaDistribution — beta distribution
ArcSinDistribution ▪ BatesDistribution ▪ KumaraswamyDistribution ▪ NoncentralBetaDistribution ▪ PERTDistribution ▪ PowerDistribution ▪ TriangularDistribution ▪ UniformSumDistribution ▪ VonMisesDistribution ▪ WignerSemicircleDistribution ▪ MarchenkoPasturDistribution
BernoulliDistribution — Bernoulli trial distribution
BinomialDistribution — binomial distribution
DiscreteUniformDistribution ▪ BenfordDistribution ▪ BetaBinomialDistribution ▪ HypergeometricDistribution ▪ FisherHypergeometricDistribution ▪ WalleniusHypergeometricDistribution ▪ ZipfDistribution
Distributions can be made to have bounded domains by modifying existing distributions.
TruncatedDistribution — truncate any distribution
CensoredDistribution — censor any distribution