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Indicwiki https://www.vigyanwiki.in/index.php?title=Template:Probability_distributions&diff=66227&oldid=prev 2022-07-19T05:06:07Z

<p>Created page with &quot;{{Navbox | name = Probability distributions | title = <a href="/index.php?title=Probability_distribution&amp;action=edit&amp;redlink=1" class="new" title="Probability distribution (page does not exist)">Probability distributions</a> (<a href="/index.php?title=List_of_probability_distributions&amp;action=edit&amp;redlink=1" class="new" title="List of probability distributions (page does not exist)">List</a>) | bodyclass = hlist | state = {{{...&quot;</p> <p><b>New page</b></p><div>{{Navbox<br /> | name = Probability distributions<br /> | title = [[Probability distribution]]s ([[List of probability distributions|List]])<br /> | bodyclass = hlist<br /> | state = {{{state|autocollapse}}}<br /> | selected = {{{1|none}}}<br /> <br /> <br /> | group1 = Discrete &lt;br&gt;univariate<br /> | list1 = <br /> <br /> {{Navbox|child<br /> <br /> <br /> | group1 = with finite &lt;br&gt;support<br /> | list1 = <br /> * [[Benford's law|Benford]]<br /> * [[Bernoulli distribution|Bernoulli]]<br /> * [[beta-binomial distribution|beta-binomial]]<br /> * [[binomial distribution|binomial]]<br /> * [[categorical distribution|categorical]]<br /> * [[hypergeometric distribution|hypergeometric]]<br /> ** [[Negative hypergeometric distribution|negative]]<br /> * [[Poisson binomial distribution|Poisson binomial]]<br /> * [[Rademacher distribution|Rademacher]]<br /> * [[soliton distribution|soliton]]<br /> * [[discrete uniform distribution|discrete uniform]]<br /> * [[Zipf's law|Zipf]]<br /> * [[Zipf–Mandelbrot law|Zipf–Mandelbrot]]<br /> <br /> | group2 = with infinite &lt;br&gt;support<br /> | list2 = <br /> * [[beta negative binomial distribution|beta negative binomial]]<br /> * [[Borel distribution|Borel]]<br /> * [[Conway–Maxwell–Poisson distribution|Conway–Maxwell–Poisson]]<br /> * [[Discrete phase-type distribution |discrete phase-type]]<br /> * [[Delaporte distribution|Delaporte]]<br /> * [[extended negative binomial distribution|extended negative binomial]]<br /> * [[Flory–Schulz distribution|Flory–Schulz]]<br /> * [[Gauss–Kuzmin distribution|Gauss–Kuzmin]]<br /> * [[geometric distribution|geometric]]<br /> * [[logarithmic distribution|logarithmic]]<br /> * [[mixed Poisson distribution|mixed Poisson]]<br /> * [[negative binomial distribution|negative binomial]]<br /> * [[(a,b,0) class of distributions|Panjer]]<br /> * [[parabolic fractal distribution|parabolic fractal]]<br /> * [[Poisson distribution|Poisson]]<br /> * [[Skellam distribution|Skellam]]<br /> * [[Yule–Simon distribution|Yule–Simon]]<br /> * [[zeta distribution|zeta]]<br /> <br /> }}<br /> <br /> <br /> | group3 = Continuous &lt;br&gt;univariate<br /> | list3 = <br /> <br /> {{Navbox|child<br /> <br /> | group3 = supported on a &lt;br&gt;bounded interval<br /> | list3 = <br /> * [[Arcsine distribution|arcsine]]<br /> * [[ARGUS distribution|ARGUS]]<br /> * [[Balding–Nichols model|Balding–Nichols]]<br /> * [[Bates distribution|Bates]]<br /> * [[Beta distribution|beta]]<br /> * [[Beta rectangular distribution|beta rectangular]]<br /> * [[Continuous Bernoulli distribution|continuous Bernoulli]]<br /> * [[Irwin–Hall distribution|Irwin–Hall]]<br /> * [[Kumaraswamy distribution|Kumaraswamy]]<br /> * [[Logit-normal distribution|logit-normal]]<br /> * [[Noncentral beta distribution|noncentral beta]]<br /> * [[PERT distribution|PERT]]<br /> * [[Raised cosine distribution|raised cosine]]<br /> * [[Reciprocal distribution|reciprocal]]<br /> * [[triangular distribution|triangular]]<br /> * [[U-quadratic distribution|U-quadratic]]<br /> * [[Uniform distribution (continuous)|uniform]]<br /> * [[Wigner semicircle distribution|Wigner semicircle]]<br /> <br /> | group4 = supported on a &lt;br&gt;semi-infinite &lt;br&gt;interval<br /> | list4 = <br /> * [[Benini distribution|Benini]]<br /> * [[Benktander type I distribution|Benktander 1st kind]]<br /> * [[Benktander type II distribution|Benktander 2nd kind]]<br /> * [[Beta prime distribution|beta prime]]<br /> * [[Burr distribution|Burr]]<br /> * [[chi distribution|chi]]<br /> * [[chi-squared distribution|chi-squared]]<br /> ** [[Noncentral chi-squared distribution|noncentral]]<br /> ** [[Inverse-chi-squared distribution|inverse]]<br /> *** [[Scaled inverse chi-squared distribution|scaled]]<br /> * [[Dagum distribution|Dagum]]<br /> * [[Davis distribution|Davis]]<br /> * [[Erlang distribution|Erlang]]<br /> ** [[Hyper-Erlang distribution|hyper]]<br /> * [[exponential distribution|exponential]]<br /> ** [[Hyperexponential distribution|hyperexponential]]<br /> ** [[Hypoexponential distribution|hypoexponential]]<br /> ** [[Exponential-logarithmic distribution|logarithmic]]<br /> * [[F-distribution|''F'']]<br /> ** [[Noncentral F-distribution|noncentral]]<br /> * [[folded normal distribution|folded normal]]<br /> * [[Fréchet distribution|Fréchet]]<br /> * [[Gamma distribution|gamma]]<br /> ** [[Generalized gamma distribution|generalized]]<br /> ** [[Inverse-gamma distribution|inverse]]<br /> * [[Gamma/Gompertz distribution|gamma/Gompertz]]<br /> * [[Gompertz distribution|Gompertz]]<br /> ** [[shifted Gompertz distribution|shifted]]<br /> * [[Half-logistic distribution|half-logistic]]<br /> * [[half-normal distribution|half-normal]]<br /> * [[Hotelling's T-squared distribution|Hotelling's ''T''-squared]]<br /> * [[Inverse Gaussian distribution|inverse Gaussian]]<br /> ** [[Generalized inverse Gaussian distribution|generalized]]<br /> * [[Kolmogorov–Smirnov test|Kolmogorov]]<br /> * [[Lévy distribution|Lévy]]<br /> * [[log-Cauchy distribution|log-Cauchy]]<br /> * [[log-Laplace distribution|log-Laplace]]<br /> * [[log-logistic distribution|log-logistic]]<br /> * [[log-normal distribution|log-normal]]<br /> * [[log-t distribution|log-t]]<br /> * [[Lomax distribution|Lomax]]<br /> * [[matrix-exponential distribution|matrix-exponential]]<br /> * [[Maxwell–Boltzmann distribution|Maxwell–Boltzmann]]<br /> * [[Maxwell–Jüttner distribution|Maxwell–Jüttner]]<br /> * [[Mittag-Leffler distribution|Mittag-Leffler]]<br /> * [[Nakagami distribution|Nakagami]]<br /> * [[Pareto distribution|Pareto]]<br /> * [[Phase-type distribution|phase-type]]<br /> * [[Poly-Weibull distribution|Poly-Weibull]]<br /> * [[Rayleigh distribution|Rayleigh]]<br /> * [[Relativistic Breit–Wigner distribution|relativistic Breit–Wigner]]<br /> * [[Rice distribution|Rice]]<br /> * [[truncated normal distribution|truncated normal]]<br /> * [[type-2 Gumbel distribution|type-2 Gumbel]]<br /> * [[Weibull distribution|Weibull]]<br /> ** [[discrete Weibull distribution|discrete]]<br /> * [[Wilks's lambda distribution|Wilks's lambda]]<br /> <br /> | group5 = supported &lt;br&gt;on the whole &lt;br&gt;real line<br /> | list5 = <br /> * [[Cauchy distribution|Cauchy]]<br /> * [[Generalized normal distribution#Version 1|exponential power]]<br /> * [[Fisher's z-distribution|Fisher's ''z'']]<br /> * [[Gaussian q-distribution|Gaussian ''q'']]<br /> * [[Generalized normal distribution|generalized normal]]<br /> * [[Generalised hyperbolic distribution|generalized hyperbolic]]<br /> * [[geometric stable distribution|geometric stable]]<br /> * [[Gumbel distribution|Gumbel]]<br /> * [[Holtsmark distribution|Holtsmark]]<br /> * [[hyperbolic secant distribution|hyperbolic secant]]<br /> * [[Johnson's SU-distribution|Johnson's ''S&lt;sub&gt;U&lt;/sub&gt;'']]<br /> * [[Landau distribution|Landau]]<br /> * [[Laplace distribution|Laplace]]<br /> ** [[Asymmetric Laplace distribution|asymmetric]]<br /> * [[logistic distribution|logistic]]<br /> * [[Noncentral t-distribution|noncentral ''t'']]<br /> * [[normal distribution|normal (Gaussian)]]<br /> * [[normal-inverse Gaussian distribution|normal-inverse Gaussian]]<br /> * [[Skew normal distribution|skew normal]]<br /> * [[Slash distribution|slash]]<br /> * [[stable distribution|stable]]<br /> * [[Student's t-distribution|Student's ''t'']]<br /> * [[type-1 Gumbel distribution|type-1 Gumbel]]<br /> * [[Tracy–Widom distribution|Tracy–Widom]]<br /> * [[Variance-gamma distribution|variance-gamma]]<br /> * [[Voigt profile|Voigt]]<br /> <br /> | group6 = with support &lt;br&gt;whose type varies<br /> | list6 = <br /> <br /> * [[Generalized chi-squared distribution|generalized chi-squared]]<br /> * [[generalized extreme value distribution|generalized extreme value]]<br /> * [[Generalized Pareto distribution|generalized Pareto]]<br /> * [[Marchenko–Pastur distribution|Marchenko–Pastur]]<br /> * [[q-exponential distribution|''q''-exponential]]<br /> * [[q-Gaussian distribution|''q''-Gaussian]]<br /> * [[q-Weibull distribution|''q''-Weibull]]<br /> * [[Shifted log-logistic distribution|shifted log-logistic]]<br /> * [[Tukey lambda distribution|Tukey lambda]]<br /> <br /> }}<br /> <br /> | group7 = Mixed &lt;br&gt;univariate<br /> | list7 = <br /> {{Navbox|child<br /> | group7 = continuous-&lt;br&gt;discrete <br /> | list7 = <br /> * [[Rectified Gaussian distribution|Rectified Gaussian]]<br /> <br /> }}<br /> <br /> | group8 = [[Joint probability distribution|Multivariate &lt;br&gt;(joint)]]<br /> | list8 = <br /> * {{nobold|''Discrete: ''}}<br /> * [[Ewens's sampling formula|Ewens]]<br /> * [[multinomial distribution|multinomial]]<br /> ** [[Dirichlet-multinomial distribution|Dirichlet]]<br /> ** [[negative multinomial distribution|negative]] <br /> * {{nobold|''Continuous: ''}}<br /> * [[Dirichlet distribution|Dirichlet]]<br /> ** [[Generalized Dirichlet distribution|generalized]]<br /> * [[Multivariate Laplace distribution|multivariate Laplace]]<br /> * [[multivariate normal distribution|multivariate normal]]<br /> * [[Multivariate stable distribution|multivariate stable]]<br /> * [[Multivariate t-distribution|multivariate ''t'']]<br /> * [[normal-gamma distribution|normal-gamma]]<br /> ** [[Normal-inverse-gamma distribution|inverse]] <br /> *{{nobold|''[[Random matrix|Matrix-valued: ]]''}}<br /> * [[Lewandowski-Kurowicka-Joe distribution|LKJ]]<br /> * [[matrix normal distribution|matrix normal]]<br /> * [[matrix t-distribution|matrix ''t'']]<br /> * [[matrix gamma distribution|matrix gamma]]<br /> ** [[inverse matrix gamma distribution|inverse matrix gamma]]<br /> * [[Wishart distribution|Wishart]]<br /> ** [[normal-Wishart distribution|normal]]<br /> ** [[inverse-Wishart distribution|inverse]]<br /> ** [[normal-inverse-Wishart distribution|normal-inverse]]<br /> <br /> <br /> <br /> | group9 = [[Directional statistics|Directional]]<br /> | list9 = <br /> ;{{nobold|''Univariate (circular) [[Directional statistics|directional]]''}}<br /> : [[Circular uniform distribution|Circular uniform]]<br /> : [[von Mises distribution|univariate von Mises]]<br /> : [[Wrapped normal distribution|wrapped normal]]<br /> : [[Wrapped Cauchy distribution|wrapped Cauchy]]<br /> : [[Wrapped exponential distribution|wrapped exponential]]<br /> : [[Wrapped asymmetric Laplace distribution|wrapped asymmetric Laplace]]<br /> : [[Wrapped Lévy distribution|wrapped Lévy]]<br /> ;{{nobold|''Bivariate (spherical)''}}<br /> : [[Kent distribution|Kent]]<br /> ;{{nobold|''Bivariate (toroidal)''}}<br /> : [[bivariate von Mises distribution|bivariate von Mises]]<br /> ;{{nobold|''Multivariate''}}<br /> : [[Von Mises–Fisher distribution|von Mises–Fisher]]<br /> : [[Bingham distribution|Bingham]]<br /> <br /> | group10 = [[degenerate distribution|Degenerate]] &lt;br&gt;and [[Singular distribution|singular]]<br /> | list10 = <br /> ;{{nobold|''Degenerate''}}<br /> : [[Dirac delta function]]<br /> ;{{nobold|''Singular''}}<br /> : [[Cantor distribution|Cantor]]<br /> <br /> | group11 = Families<br /> | list11 = <br /> * [[Circular distribution|Circular]]<br /> * [[Compound Poisson distribution|compound Poisson]]<br /> * [[Elliptical distribution|elliptical]]<br /> * [[Exponential family|exponential]]<br /> * [[Natural exponential family|natural exponential]]<br /> * [[location–scale family|location–scale]]<br /> * [[Maximum entropy probability distribution|maximum entropy]]<br /> * [[Mixture distribution|mixture]]<br /> * [[Pearson distribution|Pearson]]<br /> * [[Tweedie distribution|Tweedie]]<br /> * [[Wrapped distribution|wrapped]]<br /> <br /> | below =<br /> * {{icon|Category}} [[:Category:Probability distributions|Category]]<br /> * {{icon|commons}} [[commons:Category:Probability distributions|Commons]]<br /> <br /> }}&lt;noinclude&gt;<br /> {{documentation}}<br /> &lt;/noinclude&gt;</div>

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