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...ing insights in the intricacies of merging independent probability density functions'] (2025). </ref> ...unctions d₁(x), d₂(x), …, d_k(x), is equal to the reciprocal of the sum of the reciprocal densities: ...

{{Short description|Continuous probability distribution}} {{Probability distribution | ...

...arameterized family''' is a [[indexed family|family]] of objects (a set of related objects) whose differences depend only on the chosen values for a set of [[ ...les are parametrized (families of) [[Function (mathematics)|functions]], [[probability distribution]]s, curves, shapes, etc.{{Citation needed|date=August 2021}} ...

{{short description|Probability distribution of the sum of random variables}} ...on here is a special case of [[convolution]] in the context of probability distributions. ...

{{Short description|Continuous probability distribution}} ...g distribution for typical κ-values and n=1, 2,3. The case κ=0 corresponds to the ordinary Erlang distribution.}} ...

...e-date=July 5, 2016|url-status=dead}}</ref> Distortion functions are used to define [[distortion risk measure]]s.<ref name="Wirch"/> ...>X</math> and any distortion function <math>g</math> we can define a new [[probability measure]] <math>\mathbb{Q}</math> such that for any <math>A \in \mathcal{F} ...

...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. ...

{{Probability distribution | ...d [[statistics]], the '''noncentral beta distribution''' is a [[continuous probability distribution]] that is a [[noncentral distribution|noncentral generalizatio ...

{{Short description|Probability distribution}}{{Notability|date=February 2023}}{{One source|date=July 2022} ...ics]]. It is one example of a [[Kaniadakis distribution]]. The κ-Logistic probability distribution describes the population kinetics behavior of bosonic (<math>0 ...

...alogous to that in which the [[quantile]]s of the distribution are related to the [[median]]. ...er Jordan, Fabian Krüger, "Of Quantiles and Expectiles: Consistent Scoring Functions, Choquet Representations, and Forecast Rankings," [https://arxiv.org/pdf/15 ...

...ially when the [[likelihood]] is not from the [[location-scale family]] of distributions such as [[normal distribution]]. ==Joint probability density function== ...

{{Short description|Probability distribution}} {{Probability distribution ...

{{Short description|Continuous probability distribution}} {{Probability distribution | ...

...ls a probability distribution by combining the output from several simpler distributions. ...h expert to make decisions on the basis of a few dimensions without having to cover the full dimensionality of a problem: ...

{{Probability distribution ...|325px|Symmetric stable distributions]]<br /><small>Symmetric ''α''-stable distributions with unit scale factor; ''α''=1.5 (blue line) represents the Holtsmark dist ...

{{Short description|Family of lifetime distributions with decreasing failure rate}} {{Infobox probability distribution ...

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The theorem owes its name to mathematicians [[James Pickands]], Guus Balkema, and [[Laurens de Haan]]. .../math> converge to a non-degenerate distribution, then such limit is equal to the generalized Pareto distribution: ...

{{Short description|Set of probability measures}} ...redalSetsTutorial/Nutshell/index.html Theory of Sets of Probabilities (and related models) in a Nutshell] {{webarchive|url=https://web.archive.org/web/2011072 ...

{{Short description|Knowledge base and ontology of probability distributions}} |keywords=[[Statistics]], [[Probability distribution]] ...