User:Fragrant/Books/Probability distributions


Probability distributions

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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