A Compendium of Common Probability Distributions

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下面这份文档对各种统计分布的分布函数/密度函数做了一个全面的总结，各位可以作为一本handbook放在身边，需要的时候查阅起来也方便!

Table of Contents

Distributions shown in bold are those which appear in the Regress+ menu. Distributions shown in plain text are aliases and/or special cases.

Continuous Distributions

Name Page Name Page
Antilognormal 77 HalfNormal(A,B) 51
Bell curve 85 HyperbolicSecant(A,B) 59
Beta(A,B,C,D) 9 Inverse Gaussian 61
Bilateral exponential 63 InverseNormal(A,B) 61
Bradford(A,B,C) 15 Laplace(A,B) 63
Burr(A,B,C,D) 17 Logistic(A,B) 75
Cauchy(A,B) 19 LogLogistic 37
Chi(A,B,C) 21 LogNormal(A,B) 77
Chi-square 41 LogWeibull 49
Cobb-Douglas 77 Lorentz 19
Cosine(A,B) 23 Maxwell 21
Double-exponential 63 Negative exponential 29
DoubleGamma(A,B,C) 25 Nakagami(A,B,C) 79
DoubleWeibull(A,B,C) 27 Non-central Chi 39
Erlang 41 Normal(A,B) 85
Error function 85 Pareto(A,B) 99
Exponential(A,B) 29 Power-function 9
Extreme-value 119 Rayleigh 21
ExtremeLB(A,B,C) 35 Reciprocal(A,B) 105
Fisher-Tippett 49 Rectangular 113
Fisk(A,B,C) 37 Sech-squared 75
FoldedNormal(A,B) 39 Semicircular(A,B) 107
Frechet 119 StudentsT(A,B,C) 109
Gamma(A,B,C) 41 Triangular(A,B,C) 111
Gaussian 85 Uniform(A,B) 113
GenLogistic(A,B,C) 43 Wald 61
Gompertz 49 Weibull(A,B,C) 119
Gumbel(A,B) 49

Name Page
Double double-exponential 65
Expo(A,B)&Expo(A,C) 31
Expo(A,B)&Uniform(A,C) 33
HNormal(A,B)&Expo(A,C) 53
HNormal(A,B)&HNormal(A,C) 55
HNormal(A,B)&Uniform(A,C) 57
Laplace(A,B)&Laplace(C,D) 65
Laplace(A,B)&Laplace(A,C) 67
Laplace(A,B)&Uniform(C,D) 69
Laplace(A,B)&Uniform(A,C) 71
Normal(A,B)&Laplace(C,D) 87
Normal(A,B)&Laplace(A,C) 89
Normal(A,B)&Normal(C,D) 91
Normal(A,B)&Normal(A,C) 93
Normal(A,B)&Uniform(C,D) 95
Normal(A,B)&Uniform(A,C) 97
Uniform(A,B)&Uniform(C,D) 115
Uniform(A,B)&Uniform(A,C) 117
Schuhl 31
Discrete Distributions
Name Page
Binomial(A,B) 11
Furry 45
Geometric(A) 45
Logarithmic(A) 73
NegativeBinomial(A,B) 81
Pascal 81
Poisson(A) 101
Polya 81
Discrete Mixtures
Name Page
Binomial(A,C)&Binomial(B,C) 13
Geometric(A)&Geometric(B) 47
NegBinomial(A,C)&NegBinomial(B,C) 83
Poisson(A)&Poisson(B) 103

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