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A '''dyadic''' (or '''2-''adic''''') '''distribution''' is a specific type of discrete [[probability distribution]] that is of some theoretical importance in [[da {{ProbDistributions|discrete-infinite}} ...

...ce | doi = 10.1109/SFCS.2002.1181950 }}</ref> introduced two forms of such distributions, the '''ideal soliton distribution''' and the '''robust soliton distributio ...ronen | year = 2005 | citeseerx = 10.1.1.140.8104 | title = Optimal Degree Distributions for LT Codes in Small Cases | publisher = Helsinki University of Technology ...

...−''&mu;''/2</sup> at zero; thus it is a mixture of discrete and continuous distributions [[Category:Continuous distributions]] ...

...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. ...

...tion<ref>Jonhnson, N.L.; Kotz, S.; Kemp, A.W. (1993) ''Univariate Discrete Distributions'', 2nd edition, Wiley {{ISBN|0-471-54897-9}} (page 227)</ref> for which est }}</ref> when they characterized all distributions for which the extended [[Panjer recursion]] works. For the case {{math|''m' ...

...They are the discrete analogue of [[stable distribution|continuous-stable distributions]]. Discrete-stable distributions have been used in numerous fields, in particular in [[scale-free networks]] ...

| type = discrete ...age = [[File:DelaportePMF.svg|325px|Plot of the PMF for various Delaporte distributions.]]<br /> When <math>\alpha</math> and <math>\beta</math> are 0, the distrib ...

== Finite discrete distributions == For a [[discrete probability distribution]] with a finite number ''n'' of indices at which t ...

...the players has a [[strategy]] that is restricted to absolutely continuous distributions with respect to the [[Lebesgue measure]] (in other words, one of the player ...milarly); and <math>A_X</math> denote the set of [[absolutely continuous]] distributions on <math>X</math> (with <math>A_Y</math> defined similarly). ...

In [[information theory]], the '''limiting density of discrete points''' is an adjustment to the formula of [[Claude Shannon]] for [[diffe ...rsion with an integral), and it lacks many of the properties that make the discrete entropy a useful measure of uncertainty. In particular, it is not invarian ...

{{About|regular distributions in economics|regular species distribution in ecology|Species distribution}} ...tial distribution|exponential]]; some [[power law distribution|power law]] distributions also satisfy regularity.<ref name=Roughgarden14>{{cite journal|doi = 10.114 ...

...on here is a special case of [[convolution]] in the context of probability distributions. ...utions have simple convolutions: see [[List of convolutions of probability distributions]]. ...

...f this set. Since the Van Houtum distribution is a generalization of the [[discrete uniform distribution]], i.e. it is uniform except possibly at its boundarie It is regularly the case that the only available information concerning some discrete random variable are its first two moments. The Van Houtum distribution can ...

===Marginal distributions=== ===Conditional distributions=== ...

...6-13276).</ref><ref>PyTorch Distributions. https://pytorch.org/docs/stable/distributions.html#continuousbernoulli</ref><ref>Tensorflow Probability. https://www.tens ...since the binary cross entropy loss only defines a true log-likelihood for discrete, <math>\{0,1\}</math>-valued data. ...

| name = Discrete Weibull ...us |author2=Kizilersu, Ayse| author3=Thomas, Anthony W.|title=When is the discrete Weibull distribution infinitely divisible?|journal= Statistics and Probabil ...

...metric discrete distribution (Binomial distribution).png|thumb|A symmetric discrete distribution, specifically a binomial distribution with 10 trials and a suc ...continuous probability distribution) or [[probability mass function]] (for discrete random variables) is [[reflection (mathematics)|reflected]] around a vertic ...

{{Short description|Definition and first properties of the Poisson-Dirichlet distributions}} ...bability theory]], '''Poisson-Dirichlet distributions''' are [[probability distributions]] on the set of nonnegative, non-increasing sequences with sum 1, depending ...

...the [[probability distribution]] of a [[discrete probability distribution|discrete]] [[random variable]]&nbsp;<math>X</math> equal to the number of failures n ...{p}(q|\alpha,\beta)</math> the densities of the negative binomial and beta distributions respectively, we obtain the PMF <math>f(k|\alpha,\beta,r)</math> of the BN ...

...journal |last=Willmot |first=Gord |date=1986 |title=Mixed Compound Poisson Distributions |journal=ASTIN Bulletin |language=en |volume=16 |issue=S1 |pages=S59–S79 |d ...l |last=Willmot |first=Gord |date=2014-08-29 |title=Mixed Compound Poisson Distributions |journal=Astin Bulletin |volume=16 |pages=5–7 |doi=10.1017/S051503610001165 ...