View source for Template:Probability distributions

{{Navbox
| name      = Probability distributions
| title     = [[Probability distribution]]s ([[List of probability distributions|List]])
| bodyclass = hlist
| state     = {{{state|autocollapse}}}
| selected  = {{{1|none}}}


| group1 = Discrete <br>univariate
| list1  = 

{{Navbox|child


| group1 = with finite <br>support
| list1  = 
* [[Benford's law|Benford]]
* [[Bernoulli distribution|Bernoulli]]
* [[beta-binomial distribution|beta-binomial]]
* [[binomial distribution|binomial]]
* [[categorical distribution|categorical]]
* [[hypergeometric distribution|hypergeometric]]
** [[Negative hypergeometric distribution|negative]]
* [[Poisson binomial distribution|Poisson binomial]]
* [[Rademacher distribution|Rademacher]]
* [[soliton distribution|soliton]]
* [[discrete uniform distribution|discrete uniform]]
* [[Zipf's law|Zipf]]
* [[Zipf–Mandelbrot law|Zipf–Mandelbrot]]

| group2 = with infinite <br>support
| list2  = 
* [[beta negative binomial distribution|beta negative binomial]]
* [[Borel distribution|Borel]]
* [[Conway–Maxwell–Poisson distribution|Conway–Maxwell–Poisson]]
* [[Discrete phase-type distribution |discrete phase-type]]
* [[Delaporte distribution|Delaporte]]
* [[extended negative binomial distribution|extended negative binomial]]
* [[Flory–Schulz distribution|Flory–Schulz]]
* [[Gauss–Kuzmin distribution|Gauss–Kuzmin]]
* [[geometric distribution|geometric]]
* [[logarithmic distribution|logarithmic]]
* [[mixed Poisson distribution|mixed Poisson]]
* [[negative binomial distribution|negative binomial]]
* [[(a,b,0) class of distributions|Panjer]]
* [[parabolic fractal distribution|parabolic fractal]]
* [[Poisson distribution|Poisson]]
* [[Skellam distribution|Skellam]]
* [[Yule–Simon distribution|Yule–Simon]]
* [[zeta distribution|zeta]]

}}


| group3 = Continuous <br>univariate
| list3  = 

{{Navbox|child

| group3 = supported on a <br>bounded interval
| list3  = 
* [[Arcsine distribution|arcsine]]
* [[ARGUS distribution|ARGUS]]
* [[Balding–Nichols model|Balding–Nichols]]
* [[Bates distribution|Bates]]
* [[Beta distribution|beta]]
* [[Beta rectangular distribution|beta rectangular]]
* [[Continuous Bernoulli distribution|continuous Bernoulli]]
* [[Irwin–Hall distribution|Irwin–Hall]]
* [[Kumaraswamy distribution|Kumaraswamy]]
* [[Logit-normal distribution|logit-normal]]
* [[Noncentral beta distribution|noncentral beta]]
* [[PERT distribution|PERT]]
* [[Raised cosine distribution|raised cosine]]
* [[Reciprocal distribution|reciprocal]]
* [[triangular distribution|triangular]]
* [[U-quadratic distribution|U-quadratic]]
* [[Uniform distribution (continuous)|uniform]]
* [[Wigner semicircle distribution|Wigner semicircle]]

| group4 = supported on a <br>semi-infinite <br>interval
| list4  = 
* [[Benini distribution|Benini]]
* [[Benktander type I distribution|Benktander 1st kind]]
* [[Benktander type II distribution|Benktander 2nd kind]]
* [[Beta prime distribution|beta prime]]
* [[Burr distribution|Burr]]
* [[chi distribution|chi]]
* [[chi-squared distribution|chi-squared]]
** [[Noncentral chi-squared distribution|noncentral]]
** [[Inverse-chi-squared distribution|inverse]]
*** [[Scaled inverse chi-squared distribution|scaled]]
* [[Dagum distribution|Dagum]]
* [[Davis distribution|Davis]]
* [[Erlang distribution|Erlang]]
** [[Hyper-Erlang distribution|hyper]]
* [[exponential distribution|exponential]]
** [[Hyperexponential distribution|hyperexponential]]
** [[Hypoexponential distribution|hypoexponential]]
** [[Exponential-logarithmic distribution|logarithmic]]
* [[F-distribution|''F'']]
** [[Noncentral F-distribution|noncentral]]
* [[folded normal distribution|folded normal]]
* [[Fréchet distribution|Fréchet]]
* [[Gamma distribution|gamma]]
** [[Generalized gamma distribution|generalized]]
** [[Inverse-gamma distribution|inverse]]
* [[Gamma/Gompertz distribution|gamma/Gompertz]]
* [[Gompertz distribution|Gompertz]]
** [[shifted Gompertz distribution|shifted]]
* [[Half-logistic distribution|half-logistic]]
* [[half-normal distribution|half-normal]]
* [[Hotelling's T-squared distribution|Hotelling's ''T''-squared]]
* [[Inverse Gaussian distribution|inverse Gaussian]]
** [[Generalized inverse Gaussian distribution|generalized]]
* [[Kolmogorov–Smirnov test|Kolmogorov]]
* [[Lévy distribution|Lévy]]
* [[log-Cauchy distribution|log-Cauchy]]
* [[log-Laplace distribution|log-Laplace]]
* [[log-logistic distribution|log-logistic]]
* [[log-normal distribution|log-normal]]
* [[log-t distribution|log-t]]
* [[Lomax distribution|Lomax]]
* [[matrix-exponential distribution|matrix-exponential]]
* [[Maxwell–Boltzmann distribution|Maxwell–Boltzmann]]
* [[Maxwell–Jüttner distribution|Maxwell–Jüttner]]
* [[Mittag-Leffler distribution|Mittag-Leffler]]
* [[Nakagami distribution|Nakagami]]
* [[Pareto distribution|Pareto]]
* [[Phase-type distribution|phase-type]]
* [[Poly-Weibull distribution|Poly-Weibull]]
* [[Rayleigh distribution|Rayleigh]]
* [[Relativistic Breit–Wigner distribution|relativistic Breit–Wigner]]
* [[Rice distribution|Rice]]
* [[truncated normal distribution|truncated normal]]
* [[type-2 Gumbel distribution|type-2 Gumbel]]
* [[Weibull distribution|Weibull]]
** [[discrete Weibull distribution|discrete]]
* [[Wilks's lambda distribution|Wilks's lambda]]

| group5 = supported <br>on the whole <br>real line
| list5  = 
* [[Cauchy distribution|Cauchy]]
* [[Generalized normal distribution#Version 1|exponential power]]
* [[Fisher's z-distribution|Fisher's ''z'']]
* [[Gaussian q-distribution|Gaussian ''q'']]
* [[Generalized normal distribution|generalized normal]]
* [[Generalised hyperbolic distribution|generalized hyperbolic]]
* [[geometric stable distribution|geometric stable]]
* [[Gumbel distribution|Gumbel]]
* [[Holtsmark distribution|Holtsmark]]
* [[hyperbolic secant distribution|hyperbolic secant]]
* [[Johnson's SU-distribution|Johnson's ''S<sub>U</sub>'']]
* [[Landau distribution|Landau]]
* [[Laplace distribution|Laplace]]
** [[Asymmetric Laplace distribution|asymmetric]]
* [[logistic distribution|logistic]]
* [[Noncentral t-distribution|noncentral ''t'']]
* [[normal distribution|normal (Gaussian)]]
* [[normal-inverse Gaussian distribution|normal-inverse Gaussian]]
* [[Skew normal distribution|skew normal]]
* [[Slash distribution|slash]]
* [[stable distribution|stable]]
* [[Student's t-distribution|Student's ''t'']]
* [[type-1 Gumbel distribution|type-1 Gumbel]]
* [[Tracy–Widom distribution|Tracy–Widom]]
* [[Variance-gamma distribution|variance-gamma]]
* [[Voigt profile|Voigt]]

| group6 = with support <br>whose type varies
| list6  = 

* [[Generalized chi-squared distribution|generalized chi-squared]]
* [[generalized extreme value distribution|generalized extreme value]]
* [[Generalized Pareto distribution|generalized Pareto]]
* [[Marchenko–Pastur distribution|Marchenko–Pastur]]
* [[q-exponential distribution|''q''-exponential]]
* [[q-Gaussian distribution|''q''-Gaussian]]
* [[q-Weibull distribution|''q''-Weibull]]
* [[Shifted log-logistic distribution|shifted log-logistic]]
* [[Tukey lambda distribution|Tukey lambda]]

}}

| group7 = Mixed <br>univariate
| list7  = 
{{Navbox|child
| group7 = continuous-<br>discrete 
| list7  = 
* [[Rectified Gaussian distribution|Rectified Gaussian]]

}}

| group8 = [[Joint probability distribution|Multivariate <br>(joint)]]
| list8  = 
* {{nobold|''Discrete: ''}}
* [[Ewens's sampling formula|Ewens]]
* [[multinomial distribution|multinomial]]
** [[Dirichlet-multinomial distribution|Dirichlet]]
** [[negative multinomial distribution|negative]] 
* {{nobold|''Continuous: ''}}
* [[Dirichlet distribution|Dirichlet]]
** [[Generalized Dirichlet distribution|generalized]]
* [[Multivariate Laplace distribution|multivariate Laplace]]
* [[multivariate normal distribution|multivariate normal]]
* [[Multivariate stable distribution|multivariate stable]]
* [[Multivariate t-distribution|multivariate ''t'']]
* [[normal-gamma distribution|normal-gamma]]
** [[Normal-inverse-gamma distribution|inverse]] 
*{{nobold|''[[Random matrix|Matrix-valued: ]]''}}
* [[Lewandowski-Kurowicka-Joe distribution|LKJ]]
* [[matrix normal distribution|matrix normal]]
* [[matrix t-distribution|matrix ''t'']]
* [[matrix gamma distribution|matrix gamma]]
** [[inverse matrix gamma distribution|inverse matrix gamma]]
* [[Wishart distribution|Wishart]]
** [[normal-Wishart distribution|normal]]
** [[inverse-Wishart distribution|inverse]]
** [[normal-inverse-Wishart distribution|normal-inverse]]



| group9 = [[Directional statistics|Directional]]
| list9  = 
;{{nobold|''Univariate (circular) [[Directional statistics|directional]]''}}
: [[Circular uniform distribution|Circular uniform]]
: [[von Mises distribution|univariate von Mises]]
: [[Wrapped normal distribution|wrapped normal]]
: [[Wrapped Cauchy distribution|wrapped Cauchy]]
: [[Wrapped exponential distribution|wrapped exponential]]
: [[Wrapped asymmetric Laplace distribution|wrapped asymmetric Laplace]]
: [[Wrapped Lévy distribution|wrapped Lévy]]
;{{nobold|''Bivariate (spherical)''}}
: [[Kent distribution|Kent]]
;{{nobold|''Bivariate (toroidal)''}}
: [[bivariate von Mises distribution|bivariate von Mises]]
;{{nobold|''Multivariate''}}
: [[Von Mises–Fisher distribution|von Mises–Fisher]]
: [[Bingham distribution|Bingham]]

| group10 = [[degenerate distribution|Degenerate]]  <br>and [[Singular distribution|singular]]
| list10  = 
;{{nobold|''Degenerate''}}
: [[Dirac delta function]]
;{{nobold|''Singular''}}
: [[Cantor distribution|Cantor]]

| group11 = Families
| list11  = 
* [[Circular distribution|Circular]]
* [[Compound Poisson distribution|compound Poisson]]
* [[Elliptical distribution|elliptical]]
* [[Exponential family|exponential]]
* [[Natural exponential family|natural exponential]]
* [[location–scale family|location–scale]]
* [[Maximum entropy probability distribution|maximum entropy]]
* [[Mixture distribution|mixture]]
* [[Pearson distribution|Pearson]]
* [[Tweedie distribution|Tweedie]]
* [[Wrapped distribution|wrapped]]

 | below =
* {{icon|Category}} [[:Category:Probability distributions|Category]]
* {{icon|commons}} [[commons:Category:Probability distributions|Commons]]

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