User:Fragrant/Books/Probability distributions

Probability distributions

A - Z

Discrete univariate with finite support

Benford's law

Bernoulli distribution

Beta-binomial distribution

Binomial distribution

Categorical distribution

Hypergeometric distribution

Poisson binomial distribution

Rademacher distribution

Uniform distribution (discrete)

Zipf's law

Zipf–Mandelbrot law

Discrete univariate with infinite support

Beta negative binomial distribution

Borel distribution

Conway–Maxwell–Poisson distribution

Discrete phase-type distribution

Delaporte distribution

Extended negative binomial distribution

Gauss–Kuzmin distribution

Geometric distribution

Logarithmic distribution

Negative binomial distribution

Parabolic fractal distribution

Poisson distribution

Skellam distribution

Yule–Simon distribution

Zeta distribution

Continuous univariate supported on a bounded interval, e.g. [0,1]

Arcsine distribution

ARGUS distribution

Balding–Nichols model

Bates distribution

Beta distribution

Beta rectangular distribution

Irwin–Hall distribution

Kumaraswamy distribution

Logit-normal distribution

Noncentral beta distribution

Raised cosine distribution

Triangular distribution

U-quadratic distribution

Uniform distribution (continuous)

Wigner semicircle distribution

Continuous univariate supported on a semi-infinite interval, usually [0,∞)

Benini distribution

Benktander Gibrat distribution

Benktander Weibull distribution

Beta prime distribution

Burr distribution

Chi-squared distribution

Chi distribution

Coxian

Dagum distribution

Davis distribution

Exponential-logarithmic distribution

Erlang distribution

Exponential distribution

F-distribution

Folded normal distribution

Flory–Schulz distribution

Fréchet distribution

Gamma distribution

Gamma/Gompertz distribution

Generalized inverse Gaussian distribution

Gompertz distribution

Half-logistic distribution

Half-normal distribution

Hotelling's T-squared distribution

Hyper-Erlang distribution

Hyperexponential distribution

Hypoexponential distribution

Inverse-chi-squared distribution

Scaled inverse chi-squared distribution

Inverse Gaussian distribution

Inverse-gamma distribution

Kolmogorov

Log-Cauchy distribution

Lévy distribution

Log-Laplace distribution

Log-logistic distribution

Matrix-exponential distribution

Maxwell–Boltzmann distribution

Maxwell–Jüttner distribution

Mittag-leffler distribution

Nakagami distribution

Noncentral chi-squared distribution

Pareto distribution

Phase-type distribution

Poly-Weibull distribution

Rayleigh distribution

Relativistic Breit–Wigner distribution

Rice distribution

Shifted Gompertz distribution

Truncated normal distribution

Type-2 Gumbel distribution

Weibull distribution

Wilks's lambda distribution

Continuous univariate supported on the whole real line (−∞, ∞)

Cauchy distribution

Fisher's z-distribution

Generalized normal distribution

Generalised hyperbolic distribution

Geometric stable distribution

Gumbel distribution

Holtsmark distribution

Hyperbolic secant distribution

Johnson SU distribution

Landau distribution

Laplace distribution

Linnik distribution

Logistic distribution

Noncentral t-distribution

Normal distribution

Normal-inverse Gaussian distribution

Skew normal distribution

Slash distribution

Stable distribution

Student's t-distribution

Type-1 Gumbel distribution

Tracy–Widom distribution

Variance-gamma distribution

Voigt profile

Continuous univariate with support whose type varies

Generalized extreme value distribution

Generalized Pareto distribution

Q-exponential distribution

Q-Gaussian distribution

Q-Weibull distribution

Shifted log-logistic distribution

Tukey lambda distribution

Mixed continuous-discrete univariate distributions

Rectified Gaussian distribution

Discrete Multivariate (joint)

Dirichlet-multinomial distribution

Ewens's sampling formula

Multinomial distribution

Negative multinomial distribution

Continuous Multivariate (joint)

Dirichlet distribution

Generalized Dirichlet distribution

Multivariate normal distribution

Multivariate stable distribution

Multivariate t-distribution

Normal-inverse-gamma distribution

Normal-gamma distribution

Matrix-valued Multivariate (joint)

Inverse matrix gamma distribution

Inverse-Wishart distribution

Matrix gamma distribution

Matrix normal distribution

Matrix t-distribution

Normal-inverse-Wishart distribution

Normal-Wishart distribution

Wishart distribution

Univariate (circular) directional

Circular uniform distribution

Von Mises distribution

Wrapped Cauchy distribution

Wrapped exponential distribution

Wrapped Lévy distribution

Wrapped normal distribution

Bivariate (spherical) directional

Kent distribution

Bivariate (toroidal) directional

Bivariate von Mises distribution

Multivariate directional

Bingham distribution

Von Mises–Fisher distribution

Degenerate and singular

Degenerate distribution

Cantor distribution

Behrens–Fisher distribution

Bimodal distribution

Birnbaum–Saunders distribution

Box–Cox distribution

Champernowne distribution

Chernoff's distribution

Complex normal distribution

Compound Poisson distribution

Compound probability distribution

Consumption distribution

Crystal Ball function

Double exponential distribution

Dyadic distribution

Exponential family

Exponentially modified Gaussian distribution

Exponentiated Weibull distribution

Fisher's noncentral hypergeometric distribution

Free Poisson distribution

Gaussian q-distribution

Generalized beta distribution

Generalized chi-squared distribution

Generalized gamma distribution

Generalized Gaussian distribution

Generalized integer gamma distribution

Generalized logistic distribution

Generalized multivariate log-gamma distribution

Geometric Poisson distribution

German tank problem

Gompertz–Makeham law of mortality

Grouped Dirichlet distribution

Hermite distribution

Hyperbolic distribution

Inverted Dirichlet distribution

K-distribution

Lambda distribution

Lomax distribution

Marchenko–Pastur distribution

Maximum entropy probability distribution

McCullagh's parametrization of the Cauchy distributions

Mixture distribution

Moffat distribution

Multivariate Pareto distribution

Negative hypergeometric distribution

Noncentral chi distribution

Noncentral F-distribution

Noncentral hypergeometric distributions

Normal variance-mean mixture

Normal-exponential-gamma distribution

Pearson distribution

Rayleigh mixture distribution

Reciprocal distribution

Relationships among probability distributions

Sichel distribution

Sigmoid function

Singular distribution

Soliton distribution

Split normal distribution

Super-Poissonian distribution

Symmetric probability distribution

T distribution

Trapezoidal distribution

Tsallis distribution

Tweedie distribution

Van Houtum distribution

Wallenius' noncentral hypergeometric distribution

Wigner quasiprobability distribution

Zero-truncated Poisson distribution