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- {{Short description|Topic in probability theory and statistics}} ...distributions.jpg|thumb|Relationships among some of univariate probability distributions are illustrated with connected lines. dashed lines means approximate relati ...21 KB (3,016 words) - 10:24, 10 September 2024
- {{short description|Probability distribution of the sum of random variables}} ...on here is a special case of [[convolution]] in the context of probability distributions. ...6 KB (878 words) - 11:43, 26 January 2025
- ...of a probability distribution''' accordingly states that it is the only [[probability distribution]] that satisfies specified conditions. More precisely, the mod ...e metric space <math>(V,d_{v})</math>. By characterizations of probability distributions we understand general problems of description of some set <math> \mathcal{C ...7 KB (1,023 words) - 06:27, 2 July 2021
- ...s functions or probability density functions respectively. Many well known distributions have simple convolutions. The following is a list of these convolutions. Ea ...lace of <math>X_i</math> and <math>Y</math> the names of the corresponding distributions and their parameters have been indicated. ...6 KB (930 words) - 00:36, 13 September 2023
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- ...st everywhere, then <math>\mu_n \to \mu</math> in the sense of probability distributions.<ref name ="ito" /> ...ito">{{cite book |last=Itô |first=Kiyosi |year=1984 |title=Introduction to Probability Theory |publisher=Cambridge University Press |page=87 |isbn=0 521 26960 1}} ...756 bytes (97 words) - 22:43, 12 July 2019
- ...hematics, Vol. 2011, {{doi|10.1155/2011/238290}} (2011).</ref> Since the [[probability density function]] for a (standard) Rayleigh distribution is given by<ref n Rayleigh mixture distributions have probability density functions of the form ...2 KB (219 words) - 08:48, 14 December 2022
- ...stic processes whose associated [[probability distribution]]s are [[stable distributions]].<ref name=essentials/> ...e the [[Cauchy process]]. For the symmetric Cauchy process, the associated probability distribution is the [[Cauchy distribution]].<ref name=essentials/> ...960 bytes (125 words) - 21:12, 11 January 2017
- ...distribution]] ''P'' admits (in the convolution semi-group of probability distributions) a factorization ...sentable as the convolution of a finite or countable set of indecomposable distributions. The factorization is not unique, in general. ...2 KB (282 words) - 23:33, 7 January 2024
- In the mathematical theory of [[Probability theory|probability]], the '''combinants''' ''c''<sub>''n''</sub> of a [[random variable ]]''X' * for [[infinite divisibility (probability)]] distributions, both sets of moments are strictly positive. ...1 KB (210 words) - 15:19, 1 November 2024
- ...(or '''2-''adic''''') '''distribution''' is a specific type of discrete [[probability distribution]] that is of some theoretical importance in [[data compression A dyadic distribution is a [[probability distribution]] whose [[probability mass function]] is ...950 bytes (129 words) - 05:23, 27 August 2023
- ...operatorname{ID}\left(a_1,\ldots,a_r;a_{r+1}\right)</math>. Their joint [[probability density function]] is given by A. K. Gupta and D. K. Nagar 1999. "Matrix variate distributions". Chapman and Hall. ...1 KB (172 words) - 07:43, 4 June 2024
- {{Probability distribution | ...called the NEG distribution) is a three-parameter family of continuous [[probability distribution]]s. It has a [[location parameter]] <math>\mu</math>, [[scale ...3 KB (343 words) - 16:07, 18 February 2020
- {{Short description|Continuous probability distribution}} {{Probability distribution | ...2 KB (326 words) - 19:03, 25 December 2024
- ...'Coalescence, unlocking insights in the intricacies of merging independent probability density functions'] (2025). </ref> The coalesced density function d(x) of n independent probability density functions d<sub>1</sub>(x), d<sub>2</sub>(x), …, d<sub>k</sub>(x), ...2 KB (242 words) - 14:20, 9 February 2025
- The [[chi-squared distribution]] with ''n'' degrees of freedom is the [[probability distribution]] of the sum ...ral" chi-square distribution with zero degrees of freedom concentrates all probability at zero. ...2 KB (281 words) - 06:58, 22 October 2017
- ...on''', named after the [[physicist]] [[Anthony Moffat]], is a [[continuous probability distribution]] based upon the [[Cauchy distribution|Lorentzian distribution ===Probability density function=== ...2 KB (276 words) - 15:29, 23 January 2025
- In the mathematical theory of probability, the '''Heyde theorem''' is the [[characterization (mathematics)|chara ...\xi_j</math> have [[Normal distribution | normal distributions]] (Gaussian distributions). ...1 KB (191 words) - 04:27, 13 March 2024
- {{Probability distribution ...10.1080/15326340802232186| title = Characterization of Matrix-Exponential Distributions| journal = [[Stochastic Models]]| volume = 24| issue = 3| pages = 339| year ...4 KB (470 words) - 04:37, 13 March 2024
- ...alently the limiting behavior of distribution’s [[Characteristic function (probability theory)|characteristic function]]. ...4/aos/1176348248|doi-access=free}}</ref> if its [[Characteristic function (probability theory)|characteristic function]] satisfies ...2 KB (268 words) - 01:44, 29 August 2020
- The '''Mittag-Leffler distributions''' are two families of [[probability distributions]] on the half-line <math>[0,\infty)</math>. They are parametrized by a real ==First family of Mittag-Leffler distributions== ...5 KB (635 words) - 14:20, 22 August 2023
- ...r|date=1998|edition=2nd|isbn=0-387-98502-6}}</ref> Considering a family of distributions as a group family can, in [[statistical theory]], lead to identifying [[anc </math>, the distributions that we obtain constitute the location family. ...3 KB (437 words) - 01:34, 16 October 2024
- {{Probability distribution | ...t distribution''') is a multivariate four-parameter family of continuous [[probability distribution]]s. It is the [[conjugate prior]] of a [[multivariate normal d ...5 KB (623 words) - 21:05, 24 April 2023
- ...les are parametrized (families of) [[Function (mathematics)|functions]], [[probability distribution]]s, curves, shapes, etc.{{Citation needed|date=August 2021}} ==In probability and its applications== ...3 KB (481 words) - 11:01, 7 November 2024
- {{short description|Probability distribution of the sum of random variables}} ...on here is a special case of [[convolution]] in the context of probability distributions. ...6 KB (878 words) - 11:43, 26 January 2025