Discrete Univariate Distributions

Discrete distributions come from a variety of backgrounds, but perhaps the most common relate back to the simple Bernoulli trial, which chooses between two outcomes, called success and failure here, whether you count the number of successes, the number of failures until first success, the number of failures until n(^th) success, and so on. Other important origins are urn models with different sampling and replacement scenarios. Others are limit distributions of various kinds of processes.

Bernoulli-Related Distributions

(RefLink[BernoulliDistribution, paclet:ref/BernoulliDistribution]) — distribution of an outcome of a Bernoulli trial

(RefLink[BinomialDistribution, paclet:ref/BinomialDistribution]) — the number of successes in n Bernoulli trials

(RefLink[GeometricDistribution, paclet:ref/GeometricDistribution]) — the number of failures before the first success

(RefLink[NegativeBinomialDistribution, paclet:ref/NegativeBinomialDistribution]) — the number of failures before the n(^th) success

(RefLink[PascalDistribution, paclet:ref/PascalDistribution]) — the number of trials for the n(^th) success

(OrangeLink[Urn-Related Distributions », paclet:guide/UrnModelDistributions])

(RefLink[HypergeometricDistribution, paclet:ref/HypergeometricDistribution]) — sampling without replacement until n balls are drawn

Beta Mixture Distributions

Poisson-Related Distribution

Uniform Distribution

Power-Law Distributions

Stopped-Sum Distribution

Lagrangian Distribution