The Wolfram Language's sophisticated algorithms for handling higher mathematical functions to arbitrary precision—and in symbolic form—immediately brings a new level of accuracy—and analytical capability—to statistical computation.

Erf, Erfc — integrals of the normal distribution

InverseErf, InverseErfc — confidence intervals of the normal distribution

BetaRegularized — CDF of Student distribution

InverseBetaRegularized — quantiles of Student and beta distributions

GammaRegularized — CDF of gamma and Poisson distributions

InverseGammaRegularized — quantiles of gamma and related distributions

MarcumQ — CDF of Rice and Skellam distributions

OwenT — part of CDF of skew normal distribution

Binomial  ▪  Multinomial  ▪  Beta  ▪  Gamma  ▪  Exp  ▪  Log  ▪  Floor  ▪  Factorial (!)

HypergeometricPFQ  ▪  Hypergeometric1F1  ▪  Hypergeometric2F1Regularized

RankedMin, RankedMax — order statistics of vectors of variables

Statistical Distributions »

NormalDistribution  ▪  ChiSquareDistribution  ▪  StudentTDistribution  ▪  LogNormalDistribution  ▪  BetaDistribution  ▪  ExtremeValueDistribution  ▪  ...

PoissonDistribution  ▪  BinomialDistribution  ▪  HypergeometricDistribution  ▪  ...