Binomial (Built-in Mathematica Symbol)

Binomial[n, m] gives the binomial coefficient ( { {n}, {m} } ).

BinomialDistribution (Built-in Mathematica Symbol)

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

BetaBinomialDistribution (Built-in Mathematica Symbol)

BetaBinomialDistribution[\[Alpha], \[Beta], n] represents a beta binomial mixture distribution with beta distribution parameters \[Alpha] and \[Beta], and n binomial trials.

NegativeBinomialDistribution (Built-in Mathematica Symbol)

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

BetaNegativeBinomialDistribution (Built-in Mathematica Symbol)

BetaNegativeBinomialDistribution[\[Alpha], \[Beta], n] represents a beta negative binomial mixture distribution with beta distribution parameters \[Alpha] and \[Beta], and n ...

QBinomial (Built-in Mathematica Symbol)

QBinomial[n, m, q] gives the q-binomial coefficient (n; m)_q.

MultinomialDistribution (Built-in Mathematica Symbol)

MultinomialDistribution[n, {p_1, p_2, ..., p_m}] represents a multinomial distribution with n trials and probabilities p_i.

NegativeMultinomialDistribution (Built-in Mathematica Symbol)

NegativeMultinomialDistribution[n, p] represents a negative multinomial distribution with parameter n and failure probability vector p.

LinkFunction (Built-in Mathematica Symbol)

LinkFunction is an option for GeneralizedLinearModelFit that specifies the link function for the generalized linear model.

Bounded Domain Distributions (Mathematica Guide)

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, ...