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Probability distributions (List)
Discrete
univariate
with finite
support
  • Benford
  • Bernoulli
  • beta-binomial
  • binomial
  • categorical
  • hypergeometric
    • negative
  • Poisson binomial
  • Rademacher
  • soliton
  • discrete uniform
  • Zipf
  • Zipf–Mandelbrot
with infinite
support
  • beta negative binomial
  • Borel
  • Conway–Maxwell–Poisson
  • discrete phase-type
  • Delaporte
  • extended negative binomial
  • Flory–Schulz
  • Gauss–Kuzmin
  • geometric
  • logarithmic
  • mixed Poisson
  • negative binomial
  • Panjer
  • parabolic fractal
  • Poisson
  • Skellam
  • Yule–Simon
  • zeta
Continuous
univariate
supported on a
bounded interval
  • arcsine
  • ARGUS
  • Balding–Nichols
  • Bates
  • beta
  • beta rectangular
  • continuous Bernoulli
  • Irwin–Hall
  • Kumaraswamy
  • logit-normal
  • noncentral beta
  • PERT
  • raised cosine
  • reciprocal
  • triangular
  • U-quadratic
  • uniform
  • Wigner semicircle
supported on a
semi-infinite
interval
  • Benini
  • Benktander 1st kind
  • Benktander 2nd kind
  • beta prime
  • Burr
  • chi
  • chi-squared
    • noncentral
    • inverse
      • scaled
  • Dagum
  • Davis
  • Erlang
    • hyper
  • exponential
    • hyperexponential
    • hypoexponential
    • logarithmic
  • F
    • noncentral
  • folded normal
  • Fréchet
  • gamma
    • generalized
    • inverse
  • gamma/Gompertz
  • Gompertz
    • shifted
  • half-logistic
  • half-normal
  • Hotelling's T-squared
  • inverse Gaussian
    • generalized
  • Kolmogorov
  • Lévy
  • log-Cauchy
  • log-Laplace
  • log-logistic
  • log-normal
  • log-t
  • Lomax
  • matrix-exponential
  • Maxwell–Boltzmann
  • Maxwell–Jüttner
  • Mittag-Leffler
  • Nakagami
  • Pareto
  • phase-type
  • Poly-Weibull
  • Rayleigh
  • relativistic Breit–Wigner
  • Rice
  • truncated normal
  • type-2 Gumbel
  • Weibull
    • discrete
  • Wilks's lambda
supported
on the whole
real line
  • Cauchy
  • exponential power
  • Fisher's z
  • κ-Gaussian
  • Gaussian q
  • generalized normal
  • generalized hyperbolic
  • geometric stable
  • Gumbel
  • Holtsmark
  • hyperbolic secant
  • Johnson's SU
  • Landau
  • Laplace
    • asymmetric
  • logistic
  • noncentral t
  • normal (Gaussian)
  • normal-inverse Gaussian
  • skew normal
  • slash
  • stable
  • Student's t
  • Tracy–Widom
  • variance-gamma
  • Voigt
with support
whose type varies
  • generalized chi-squared
  • generalized extreme value
  • generalized Pareto
  • Marchenko–Pastur
  • κ-exponential
  • κ-Gamma
  • κ-Weibull
  • κ-Logistic
  • κ-Erlangl
  • q-exponential
  • q-Gaussian
  • q-Weibull
  • shifted log-logistic
  • Tukey lambda
Mixed
univariate
continuous-
discrete
  • Rectified Gaussian
Multivariate
(joint)
  • Discrete:
  • Ewens
  • multinomial
    • Dirichlet
    • negative
  • Continuous:
  • Dirichlet
    • generalized
  • multivariate Laplace
  • multivariate normal
  • multivariate stable
  • multivariate t
  • normal-gamma
    • inverse
  • Matrix-valued:
  • LKJ
  • matrix normal
  • matrix t
  • matrix gamma
    • inverse matrix gamma
  • Wishart
    • normal
    • inverse
    • normal-inverse
Directional
Univariate (circular) directional
Circular uniform
univariate von Mises
wrapped normal
wrapped Cauchy
wrapped exponential
wrapped asymmetric Laplace
wrapped Lévy
Bivariate (spherical)
Kent
Bivariate (toroidal)
bivariate von Mises
Multivariate
von Mises–Fisher
Bingham
Degenerate
and singular
Degenerate
Dirac delta function
Singular
Cantor
Families
  • Circular
  • compound Poisson
  • elliptical
  • exponential
  • natural exponential
  • location–scale
  • maximum entropy
  • mixture
  • Pearson
  • Tweedie
  • wrapped
  • Category
  • Commons
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