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name =Normal-Exponential-Gamma| ...tribution''' (sometimes called the NEG distribution) is a three-parameter family of continuous [[probability distribution]]s. It has a [[location parameter] ...

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== ...

...first member of this family is the [[Kaniadakis Exponential distribution|κ-exponential distribution]] of Type I. The κ-Erlang is a κ-deformed version of the [[Erl ...al |last=Kaniadakis |first=G. |date=2021-01-01 |title=New power-law tailed distributions emerging in κ-statistics (a) |url=https://iopscience.iop.org/article/10.120 ...

| name = Marshall–Olkin exponential ...irst2= Ingram|last2= Olkin|author2-link=Ingram Olkin| title=A multivariate exponential distribution|journal=[[Journal of the American Statistical Association]] |v ...

...four-parameter family of [[Probability distribution|continuous statistical distributions]], supported on a semi-infinite interval [0,∞), which arising from the [[Ka ...al |last=Kaniadakis |first=G. |date=2021-01-01 |title=New power-law tailed distributions emerging in κ-statistics (a) |url=https://iopscience.iop.org/article/10.120 ...

...imum entropy probability distribution|maximum entropy]] procedure, the [[q-exponential distribution]] is derived. ..., [[astronomy]], [[economics]], [[finance]], and [[machine learning]]. The distributions are often used for their [[heavy tails]]. ...

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

...rst3=L. C. |date=2003 |title=''q''-exponential, Weibull, and ''q''-Weibull distributions: an empirical analysis |arxiv=cond-mat/0301552 |journal= Physica A: Statist ...te journal |last=Naudts |first=Jan |date=2010 |title=The ''q''-exponential family in statistical physics |journal= Journal of Physics: Conference Series|volu ...

...docs/python/tfp/edward2/ContinuousBernoulli |date=2020-11-25 }}</ref> is a family of continuous [[probability distribution]]s parameterized by a single [[sh The continuous Bernoulli also defines an [[exponential family]] of distributions. Writing <math>\eta = \log\left(\lambda/(1-\lambda)\right)</math> for the [ ...

...nd Srivastava (1993) as an extension of the [[Weibull distribution|Weibull family]] obtained by adding a second [[shape parameter]]. * ''k'' = 1 gives the '''exponentiated exponential distribution'''. ...

{{Short description|Family of lifetime distributions with decreasing failure rate}} | name = Exponential-Logarithmic distribution (EL) ...

...tion''' (or '''Gaussian-inverse-gamma distribution''') is a four-parameter family of multivariate continuous [[probability distribution]]s. It is the [[conju ===Marginal distributions=== ...

...distributions.jpg|thumb|Relationships among some of univariate probability distributions are illustrated with connected lines. dashed lines means approximate relati ...pages=2719–21 | title=ProbOnto: ontology and knowledge base of probability distributions | year=2016 | journal=Bioinformatics | last1 = Swat | first1 = MJ | last2 = ...

...en the posterior predictive distribution will belong to the same family of distributions as the prior predictive distribution. This is easy to see. If the prior d ...arameterization than the one that would be most natural for the predictive distributions in the current problem at hand. Often this results because the prior distr ...

...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 ...

The authors went on to use these distributions in the context of three different applications in medical science. [[Category:Multivariate continuous distributions]] ...

...ommonly used for parametric models in [[survival analysis]] (such as the [[exponential distribution]], the [[Weibull distribution]] and the [[gamma distribution]] ==Related distributions == ...

...al |last=Kaniadakis |first=G. |date=2021-01-01 |title=New power-law tailed distributions emerging in κ-statistics (a) |url=https://iopscience.iop.org/article/10.120 ==Related distributions== ...

...Kaniadakis Gamma distribution|''κ''-Gamma distribution]], whilst the ''κ''-exponential distribution of Type II is a particular case of the [[Kaniadakis Weibull di | name = ''κ''-exponential distribution of type I ...

{{Short description|Family of probability distributions}} ...obability]] and [[statistics]], the '''Gaussian ''q''-distribution''' is a family of [[probability distribution]]s that includes, as [[limiting case (mathema ...