Collection

Unbound distributions

Cauchy([scale, shift])

Cauchy distribution.

DoubleGamma([shape, scale, shift])

Double gamma distribution.

DoubleWeibull([shape, scale, shift])

Double Weibull distribution.

GeneralizedExtreme([shape, scale, shift])

Generalized extreme value distribution.

HyperbolicSecant([scale, shift])

Hyperbolic secant distribution

Laplace([mu, sigma])

Laplace Probability Distribution

LogGamma([shape, scale, shift])

Log-gamma distribution

Logistic([skew, shift, scale])

Generalized logistic type 1 distribution Sech squared distribution

Normal([mu, sigma])

Normal (Gaussian) distribution

PowerNormal([shape, mu, sigma])

Power normal or Box-Cox distribution.

StudentT([df, mu, sigma])

(Non-central) Student-t distribution.

Partially bound distributions

Alpha([shape, scale, shift])

Alpha distribution.

Burr([alpha, kappa, scale, shift])

Burr Type XII or Singh-Maddala distribution.

Chi([df, scale, shift])

Chi distribution.

ChiSquared([df, nc, scale, shift])

(Non-central) Chi-squared distribution.

Maxwell([scale, shift])

Maxwell-Boltzmann distribution Chi distribution with 3 degrees of freedom

Exponential([scale, shift])

Exponential Probability Distribution

ExponentialPower([shape, scale, shift])

Exponential power distribution.

ExponentialWeibull([alpha, kappa, scale, shift])

Exponential Weibull distribution.

F([n, m, nc, shift, scale])

(Non-central) F or Fisher-Snedecor distribution.

Fisk([shape, scale, shift])

Fisk or Log-logistic distribution.

FoldedCauchy([shape, scale, shift])

Folded Cauchy distribution.

FoldedNormal([mu, scale, shift])

Folded normal distribution.

Frechet([shape, scale, shift])

Frechet or Extreme value distribution type 2.

Gamma([shape, scale, shift])

Gamma distribution.

GeneralizedExponential([a, b, c, scale, shift])

Generalized exponential distribution.

GeneralizedGamma(shape1, shape2[, scale, shift])

Generalized gamma distribution

GeneralizedHalfLogistic(shape[, scale, shift])

Generalized half-logistic distribution

Gompertz(shape[, scale, shift])

Gompertz distribution

InverseGamma(shape[, scale, shift])

Inverse-Gamma distribution.

Levy([scale, shift])

Levy distribution

LogLaplace([shape, scale, shift])

Log-laplace distribution

LogNormal([mu, sigma, shift, scale])

Log-normal distribution

LogWeibull([scale, shift])

Gumbel or Log-Weibull distribution.

Mielke([kappa, expo, scale, shift])

Mielke's beta-kappa distribution

Nakagami([shape, scale, shift])

Nakagami-m distribution.

Pareto1([shape, scale, shift])

Pareto type 1 distribution.

Pareto2([shape, scale, shift])

Pareto type 2 distribution.

PowerLogNormal([shape, mu, sigma, scale, shift])

Power log-normal distribution

Wald([mu, scale, shift])

Wald distribution.

Weibull([shape, scale, shift])

Weibull Distribution

WrappedCauchy([shape, scale, shift])

Wrapped Cauchy distribution

Bound distributions

Anglit([scale, shift])

Anglit distribution.

ArcSinus([shape, lower, upper])

Generalized Arc-sinus distribution

Beta(alpha, beta[, lower, upper])

Beta Probability Distribution.

Bradford([shape, lower, upper])

Bradford distribution.

FatigueLife([shape, scale, shift])

Fatigue-Life or Birmbaum-Sanders distribution

PowerLaw([shape, lower, upper])

Powerlaw distribution

Wigner([radius, shift])

Wigner (semi-circle) distribution

PERT(lower, mode, upper[, gamma])

Program Evaluation and Review Technique (PERT) Distribution.

Kumaraswamy(alpha, beta[, lower, upper])

Kumaraswamy's double bounded distribution

LogUniform([lower, upper, scale, shift])

Log-uniform distribution

Reciprocal(lower, upper[, shift, scale])

Reciprocal distribution.

Triangle([lower, midpoint, upper])

Triangle Distribution.

TruncExponential([upper, scale, shift])

Truncated exponential distribution.

TruncNormal([lower, upper, mu, sigma])

Truncated normal distribution

TukeyLambda([shape, scale, shift])

Tukey-lambda distribution.

Uniform([lower, upper])

Uniform probability distribution.

Multivariate distributions

MvLogNormal(mu, sigma[, rotation])

Multivariate Log-Normal Distribution.

MvNormal(mu[, sigma, rotation])

Multivariate Normal Distribution.

MvStudentT(df, mu[, sigma, rotation])

Multivariate Student-T Distribution.

Discrete distributions

Binomial(size, prob)

Binomial probability distribution.

DiscreteUniform(lower, upper)

Discrete uniform probability distribution.

Copulas

Clayton(dist[, theta])

Clayton Copula.

Gumbel(dist, theta)

Gumbel Copula.

Joe(dist[, theta])

Joe Copula.

Nataf(dist, covariance)

Nataf (normal) copula.

TCopula(dist, df, covariance)

T-Copula.