The functions described here are among the most commonly used discrete univariate statistical distributions. You can compute their densities, means, variances, and other ...

FactorialMomentGeneratingFunction[dist, t] gives the factorial moment generating function for the symbolic distribution dist as a function of the variable t. ...

MultivariatePoissonDistribution[\[Mu]_0, {\[Mu]_1, \[Mu]_2, \ ...}] represents a multivariate Poisson distribution with mean vector {\[Mu]_0 + \[Mu]_1, \[Mu]_0 + \[Mu]_2, ...

NProbability[pred, x \[Distributed] dist] gives the numerical probability for an event that satisfies the predicate pred under the assumption that x follows the probability ...

BinomialDistribution[n, p] represents a binomial distribution with n trials and success probability p.

Mathematica has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research over ...

Mathematica 6.0 represented a major new level in Mathematica's distinguished twenty-year history of broad cutting-edge algorithm development. Mathematica's unified ...

Probability and statistics are used to model uncertainty from a variety of sources, such as incomplete or simplified models. Yet you can build useful models for aggregate or ...

NegativeBinomialDistribution[n, p] represents a negative binomial distribution with parameters n and p.

BernoulliDistribution[p] represents a Bernoulli distribution with probability parameter p.