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Mixture distribution

In probability and statistics, a mixture distribution is the probability distribution of a random variable that is derived from a collection of other random variables as follows: first, a random variable is selected by chance from the collection according to given probabilities of selection, and then the value of the selected random variable is realized.…

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Overview

Finite and countable mixtures

Uncountable mixtures

Mixtures within a parametric family

Properties

Examples

Applications

Mixture

Hierarchical models

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Mixture distribution

Nodes68
Edges67
Triples21
Avg. degree1.97
Density0.029412
Components1

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Mixture distribution

Top relations

related to Finite and countable mixtures · 5
Mixture distribution → Given, P1, Pn, The, This
related to Uncountable mixtures · 5
Mixture distribution → Consider, Given, That, The, Where
related to A normal and a Cauchy distribution · 4
Mixture distribution → Consider, Hampel, John Tukey, The
related to Moments · 3
Mixture distribution → Let X1, Then, Xn
is a · 2
Mixture distribution → multivariate distribution.In cases where each of the underlying random variables is continuous, probability distribution of a random variable that is derived from a collection of other random variables as follows

Important terminology Word statistics

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Important terminology

mixture distribution distributions density two displaystyle function probability sum components normal random case given component different means variables variable modes

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Mixture distributionis aprobability distribution of a random variable that is derived from a collection of other random variables as follows0.90text
Mixture distributionis amultivariate distribution.In cases where each of the underlying random variables is continuous0.90text
skewnessinstance ofThese relations highlight the potential of mixture distributions to display non-trivial higher-order moments0.80text
kurtosisinstance ofThese relations highlight the potential of mixture distributions to display non-trivial higher-order moments0.80text
Mixture distributionrelated to A normal and a Cauchy distributionThe0.60section
Mixture distributionrelated to A normal and a Cauchy distributionHampel0.60section
Mixture distributionrelated to A normal and a Cauchy distributionJohn Tukey0.60section
Mixture distributionrelated to A normal and a Cauchy distributionConsider0.60section
Mixture distributionrelated to Finite and countable mixturesGiven0.60section
Mixture distributionrelated to Finite and countable mixturesP10.60section
Mixture distributionrelated to Finite and countable mixturesPn0.60section
Mixture distributionrelated to Finite and countable mixturesThis0.60section

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