Multi Model Probability Distribution is a model comprised of an unspecified combination of multiple probability distribution functions (univariate and/or multivariate)

Definition

on each trial, the choice of which probability distribution generates the sample is determined by sampling a distribution identity from a multinoulli distribution

  • 𝐏(𝑥) = 𝛴𝑖𝐏(𝑐=𝑖)𝐏(𝑥|𝑐=𝑖)

where:

Example

a mixed distribution modeled with 3 normal distributions

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