University · Statistics · Bayesian Statistics

Conjugate Priors and Their Applications

4 Abschnitte1 Karteikarten-Decks1 Quizze

How to choose prior distributions that combine analytically with common likelihoods to yield closed-form posteriors, with worked Beta-Binomial, Gamma-Poisson, and Normal-Normal examples and a discussion of when conjugacy breaks down.

Inhaltsübersicht

  • What Makes a Prior Conjugate?
  • The Beta-Binomial and Gamma-Poisson Families
  • The Normal-Normal and Normal-Inverse-Gamma Models
  • Limitations of Conjugacy and When to Move Beyond It
Mathematical notation illustrating exponential family likelihood structure
Pixabay – Pixabay License

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Learn Conjugate Priors and Their Applications — Bayesian Statistics Statistics | Summary, Flashcards & Quiz