Core Algorithms

Univariate Continuous Distributions

Univariate continuous parametric distributions in Mathematica 8.

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dists = {

ArcSinDistribution[{0, 3}], BatesDistribution[4],

BeckmannDistribution[1, -2, 2, 3, .3],

BeniniDistribution[3, 40, 4], BenktanderGibratDistribution[2, 2],

BenktanderWeibullDistribution[0.5, 0.7], BetaDistribution[2, 3],

BetaPrimeDistribution[4, 2, 3, 3],

BirnbaumSaundersDistribution[1/2, 3], CauchyDistribution[0, 1],

ChiDistribution[4], ChiSquareDistribution[6],

DagumDistribution[2, 2, 3], DavisDistribution[3, 2.5, 1],

ErlangDistribution[5, 1/2], ExpGammaDistribution[1, 2, 1],

ExponentialDistribution[2],

ExponentialPowerDistribution[1/2, 1, 2],

ExtremeValueDistribution[1, 2], FisherZDistribution[1.5, 3],

FRatioDistribution[10, 5], FrechetDistribution[2, 1.5],

GammaDistribution[4, 2, 1, 0],

GompertzMakehamDistribution[2, 1, 0.1, 2],

GumbelDistribution[2, 3], HalfNormalDistribution[1],

HotellingTSquareDistribution[10, 20], HoytDistribution[.2, .5],

HyperbolicDistribution[-2, 2, 1.5, 3, 1],

InverseChiSquareDistribution[5, .5],

InverseGammaDistribution[2, 2, 1.4, 1],

InverseGaussianDistribution[2, 3, 1],

JohnsonDistribution["SB", 1, 2, 1.1, 1.5],

JohnsonDistribution["SL", 1, 2, 1.1, 1.5],

JohnsonDistribution["SN", 1, 2, 1.1, 1.5],

JohnsonDistribution["SU", 3, 2, 1.1, 1.5], KDistribution[15, 1],

KumaraswamyDistribution[2, 3/4], LandauDistribution[0.5, 1],

LaplaceDistribution[2, 0.5], LevyDistribution[0, 4],

LindleyDistribution[0.6], LogGammaDistribution[2, 0.5, 1],

LogisticDistribution[2, 1], LogLogisticDistribution[5, 1],

LogNormalDistribution[1, 1/2], MaxStableDistribution[-1, 2, .5],

MaxwellDistribution[1.5], MinStableDistribution[1, 2, .5],

MoyalDistribution[1, 1], NakagamiDistribution[3/2, 3],

NoncentralBetaDistribution[2, 3, 10],

NoncentralChiSquareDistribution[6, 7],

NoncentralFRatioDistribution[10, 5, 2, 1],

NoncentralStudentTDistribution[7, 2], NormalDistribution[0, 1],

ParetoDistribution[3, 2, 3/4, 1],

PearsonDistribution[75, -85, 37, 26, 58],

PERTDistribution[{-2, 3}, 1, 1], PowerDistribution[1, 2.5],

RayleighDistribution[1], RiceDistribution[1, 2, 3],

SechDistribution[3, 1], SinghMaddalaDistribution[2, 5, 3],

SkewNormalDistribution[0, 2, 0.5],

StableDistribution[0, 1, 1/2, 0, 2],

StableDistribution[1, 1.3, 1, 0, 2], StudentTDistribution[1, 2, 7],

SuzukiDistribution[1/2, 1], TriangularDistribution[{0, 1}, 1/2],

TukeyLambdaDistribution[0.4, 1, 0.5], UniformDistribution[{0, 1}],

UniformSumDistribution[4, {0, 1}], VonMisesDistribution[0, 2],

WakebyDistribution[5, 3, .1, 1/2, 0], WeibullDistribution[2, 2],

WignerSemicircleDistribution[0, 2]};

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