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Everything about Compound probability distribution

Concept in statistics

In probability and statistics, a compound probability distribution is the probability distribution that results from assuming that a random variable is distributed according to some parametrized distribution, with the parameters of that distribution themselves being random variables. If the parameter is a scale parameter, the resulting mixture is also called a scale mixture. Wikipedia →

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  1. Read the overview: Compound probability distributionA 5-minute orientation
  2. Skim a recent paper: Aggregate: fast, accurate, and flexible approximation of compound probability distributionsInfluential work since 2022
  3. Pick up a classic book: Koėffit︠s︡ienty raspredelenii︠a︡ v slozhnykh poluprovodnikovykh sistemakhThe most-reprinted book on the subject
  4. Read the landmark paper: Estimation of poisson-generalized pareto compound extreme value distribution by probability-weighted moments and empirical analysisCited 5 times
  5. Go sideways: Natural exponential familyA closely related topic
  6. Go sideways: Exponential dispersion modelA closely related topic

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