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.

Continuous Distributions

(RefLink[UniformDistribution, paclet:ref/UniformDistribution]) — continuous uniform distribution

(RefLink[BetaDistribution, paclet:ref/BetaDistribution]) — beta distribution

Discrete Distributions

(RefLink[BernoulliDistribution, paclet:ref/BernoulliDistribution]) — Bernoulli trial distribution

(RefLink[BinomialDistribution, paclet:ref/BinomialDistribution]) — binomial distribution

Derived Distributions

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

(RefLink[TruncatedDistribution, paclet:ref/TruncatedDistribution]) — truncate any distribution

(RefLink[CensoredDistribution, paclet:ref/CensoredDistribution]) — censor any distribution