Functions Used in Statistics - Wolfram Mathematica 8 Documentation

MATHEMATICA GUIDE

Functions Used in Statistics

Mathematica'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

TUTORIALS

Basic Statistics

Combinatorial Functions

Discrete Distributions

Continuous Distributions

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Special Functions

Discrete Mathematics