View source for Template:ProbDistributions

{{Navbox with collapsible groups
|name = ProbDistributions
|title = [[Probability distribution]]s
|state = autocollapse
|selected = {{{1|}}}

|group1 = [[List of probability distributions#With finite support|Discrete univariate with finite support]]
|abbr1 = discrete-finite
|list1 = {{nowrap begin}} [[Benford's law|Benford]]{{·wrap}} [[Bernoulli distribution|Bernoulli]]{{·wrap}} [[Beta-binomial distribution|Beta-binomial]] {{·wrap}} [[binomial distribution|binomial]]{{·wrap}} [[categorical distribution|categorical]]{{·wrap}} [[hypergeometric distribution|hypergeometric]]{{·wrap}} [[Poisson binomial distribution|Poisson binomial]]{{·wrap}} [[Rademacher distribution|Rademacher]]{{·wrap}} [[uniform distribution (discrete)|discrete uniform]]{{·wrap}} [[Zipf's law|Zipf]]{{·wrap}} [[Zipf-Mandelbrot law|Zipf-Mandelbrot]] {{nowrap end}}

|group2 = [[List of probability distributions#With infinite support|Discrete univariate with infinite support]]
|abbr2 = discrete-infinite
|list2 = {{nowrap begin}} [[Boltzmann distribution|Boltzmann]]{{·wrap}} [[Conway–Maxwell–Poisson distribution|Conway–Maxwell–Poisson]]{{·wrap}}  [[Discrete phase-type distribution |discrete phase-type]]{{·wrap}}[[Extended negative binomial distribution|extended negative binomial]]{{·wrap}} [[Gauss–Kuzmin distribution|Gauss–Kuzmin]]{{·wrap}} [[geometric distribution|geometric]]{{·wrap}}  [[logarithmic distribution|logarithmic]]{{·wrap}} [[negative binomial distribution|negative binomial]]{{·wrap}} [[parabolic fractal distribution|parabolic fractal]]{{·wrap}} [[Poisson distribution|Poisson]]{{·wrap}} [[Skellam distribution|Skellam]]{{·wrap}} [[Yule–Simon distribution|Yule–Simon]]{{·wrap}} [[zeta distribution|zeta]] {{nowrap end}}

|group3 = [[List of probability distributions#Supported on a bounded interval|Continuous univariate supported on a bounded interval, e.g. [0,1]]]
|abbr3 = continuous-bounded
|list3 = {{nowrap begin}} [[Beta distribution|Beta]]{{·wrap}} [[Irwin–Hall distribution|Irwin–Hall]]{{·wrap}} [[Kumaraswamy distribution|Kumaraswamy]]{{·wrap}} [[Logit-normal distribution|logit-normal]]{{·wrap}} [[Raised cosine distribution|raised cosine]]{{·wrap}} [[triangular distribution|triangular]]{{·wrap}} [[U-quadratic distribution|U-quadratic]]{{·wrap}} [[Uniform distribution (continuous)|uniform]]{{·wrap}} [[Wigner semicircle distribution|Wigner semicircle]]   {{nowrap end}}

|group4 = [[List of probability distributions#Supported_on_semi-infinite_intervals.2C_usually_.5B0.2C.E2.88.9E.29|Continuous univariate supported on a semi-infinite interval, usually [0,∞)]]
|abbr4 = continuous-semi-infinite
|list4 = {{nowrap begin}} [[Beta prime distribution|Beta prime]]{{·wrap}} [[Bose–Einstein statistics|Bose–Einstein]]{{·wrap}} [[Burr distribution|Burr]]{{·wrap}} [[chi-square distribution|chi-square]]{{·wrap}} [[chi distribution|chi]]{{·wrap}} [[phase-type distribution#Coxian distribution|Coxian]]{{·wrap}} [[Erlang distribution|Erlang]]{{·wrap}} [[exponential distribution|exponential]]{{·wrap}} [[F-distribution|''F'']]{{·wrap}} [[Fermi–Dirac statistics|Fermi–Dirac]]{{·wrap}} [[folded normal distribution|folded normal]]{{·wrap}} [[Fréchet distribution|Fréchet]]{{·wrap}} [[Gamma distribution|Gamma]]{{·wrap}} [[generalized extreme value distribution|generalized extreme value]]{{·wrap}} [[Generalized inverse Gaussian distribution|generalized inverse Gaussian]]{{·wrap}} [[Half-logistic distribution|half-logistic]]{{·wrap}} [[half-normal distribution|half-normal]]{{·wrap}} [[Hotelling's T-square distribution|Hotelling's T-square]]{{·wrap}} [[Hyper-exponential distribution|hyper-exponential]]{{·wrap}} [[Hypoexponential distribution|hypoexponential]]{{·wrap}} [[Inverse-chi-square distribution|inverse chi-square]] ([[Scaled-inverse-chi-square distribution|scaled inverse chi-square]]){{·wrap}} [[Inverse Gaussian distribution|inverse Gaussian]]{{·wrap}} [[Inverse-gamma distribution|inverse gamma]]{{·wrap}} [[Lévy distribution|Lévy]]{{·wrap}} [[log-normal distribution|log-normal]]{{·wrap}} [[log-logistic distribution|log-logistic]]{{·wrap}} [[Maxwell–Boltzmann distribution|Maxwell–Boltzmann]]{{·wrap}} [[Maxwell speed distribution|Maxwell speed]]{{·wrap}} [[Nakagami distribution|Nakagami]]{{·wrap}} [[Noncentral chi-square distribution|noncentral chi-square]]{{·wrap}}[[Pareto distribution|Pareto]]{{·wrap}} [[Phase-type distribution | phase-type]]{{·wrap}}  [[Rayleigh distribution|Rayleigh]]{{·wrap}} [[Relativistic Breit–Wigner distribution|relativistic Breit–Wigner]]{{·wrap}} [[Rice distribution|Rice]]{{·wrap}} [[Rosin–Rammler distribution|Rosin–Rammler]]{{·wrap}} [[shifted Gompertz distribution|shifted Gompertz]]{{·wrap}} [[truncated normal distribution|truncated normal]]{{·wrap}} [[type-2 Gumbel distribution|type-2 Gumbel]]{{·wrap}} [[Weibull distribution|Weibull]]{{·wrap}} [[Wilks' lambda distribution|Wilks' lambda]]    {{nowrap end}}

|group5 = [[List of probability distributions#Supported on the whole real line|Continuous univariate supported on the whole real line (&minus;∞,&nbsp;∞)]]
|abbr5 = continuous-infinite
|list5 = {{nowrap begin}}  [[Cauchy distribution|Cauchy]]{{·wrap}} [[Extreme value distribution|extreme value]]{{·wrap}} [[Generalized normal distribution#Version 1|exponential power]]{{·wrap}} [[Fisher's z-distribution|Fisher's z]] {{·wrap}} [[Generalized normal distribution|generalized normal]] {{·wrap}} [[Generalised hyperbolic distribution|generalized hyperbolic]] {{·wrap}} [[Gumbel distribution|Gumbel]]{{·wrap}} [[hyperbolic secant distribution|hyperbolic secant]]{{·wrap}}  [[Landau distribution|Landau]]{{·wrap}} [[Laplace distribution|Laplace]]{{·wrap}} [[logistic distribution|logistic]]{{·wrap}} [[Noncentral t-distribution|noncentral t]]{{·wrap}} [[normal distribution|normal (Gaussian)]]{{·wrap}} [[normal-inverse Gaussian distribution|normal-inverse Gaussian]]{{·wrap}} [[Skew normal distribution|skew normal]]{{·wrap}} [[Slash distribution|slash]]{{·wrap}}[[stable distribution|stable]]{{·wrap}}  [[Student's t-distribution|Student's ''t'']]{{·wrap}} [[type-1 Gumbel distribution|type-1 Gumbel]]{{·wrap}} [[Variance-gamma distribution|Variance-Gamma]]{{·wrap}} [[Voigt profile|Voigt]]  {{nowrap end}}

|group6 = [[Joint probability distribution|Multivariate (joint)]]
|abbr6 = multivariate
|list6 = {{nowrap begin}} ''Discrete:'' [[Ewens's sampling formula|Ewens]] {{·wrap}}[[multinomial distribution|multinomial]]{{·wrap}} [[multivariate Polya distribution|multivariate Polya]] {{·wrap}}[[negative multinomial distribution|negative multinomial]]<br/>''Continuous:'' [[Dirichlet distribution|Dirichlet]]{{·wrap}} [[Generalized Dirichlet distribution|Generalized Dirichlet]]{{·wrap}} [[multivariate normal distribution|multivariate normal]]{{·wrap}} [[Multivariate Student distribution|multivariate Student]] {{·wrap}} [[normal-scaled inverse gamma distribution|normal-scaled inverse gamma]] {{·wrap}} [[normal-gamma distribution|normal-gamma]] <br/>''[[Random matrix|Matrix-valued]]:'' [[Inverse-Wishart distribution|inverse-Wishart]]{{·wrap}} [[matrix normal distribution|matrix normal]]{{·wrap}} [[Wishart distribution|Wishart]] {{nowrap end}}   

|group7 = [[Directional statistics|Directional]], [[degenerate distribution|degenerate]],  and [[Singular distribution|singular]]
|abbr7 = miscellaneous
|list7 = {{nowrap begin}} ''[[Directional statistics|Directional]]:''[[Circular uniform distribution|Circular Uniform]] {{·wrap}} [[bivariate von Mises distribution|bivariate von Mises]] {{·wrap}} [[Kent distribution|Kent]] {{·wrap}} [[von Mises distribution|univariate von Mises]]{{·wrap}} [[Von Mises–Fisher distribution|von Mises–Fisher]] {{·wrap}} [[Wrapped normal distribution|Wrapped normal]] {{·wrap}} [[Wrapped Cauchy distribution|Wrapped Cauchy]] {{·wrap}} [[Wrapped Lévy distribution|Wrapped Lévy]] <br/> ''[[degenerate distribution|Degenerate]]:'' [[degenerate distribution|discrete degenerate]]{{·wrap}} [[Dirac delta function]]  <br/> ''[[Singular distribution|Singular]]:'' [[Cantor distribution|Cantor]] {{nowrap end}}

|group8 = Families
|abbr8 = families
|list8 = {{nowrap begin}}[[Circular distribution|Circular]]{{·wrap}} [[Compound Poisson distribution|compound Poisson]]{{·wrap}}[[Elliptical distribution|elliptical]]{{·wrap}}[[Exponential family|exponential]]{{·wrap}} [[Natural exponential family|natural exponential]]{{·wrap}} [[location-scale family|location-scale]]{{·wrap}} [[Maximum entropy probability distribution|maximum entropy]]{{·wrap}} [[Mixture density|mixture]]{{·wrap}} [[Pearson distribution|Pearson]]{{·wrap}} [[Tweedie distributions|Tweedie]]  {{nowrap end}}

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