A conjugate prior for the Dirichlet distribution
Jean-Marc Andreoli
TL;DR
This paper explores a conjugate prior within the exponential family for the Dirichlet distribution, aiming to facilitate Bayesian inference and analytical tractability.
Contribution
It introduces a new conjugate prior for the Dirichlet distribution, expanding the tools available for Bayesian modeling.
Findings
Derived the conjugate prior mathematically.
Showed the prior's compatibility with the Dirichlet distribution.
Discussed implications for Bayesian inference.
Abstract
This note investigates a conjugate class for the Dirichlet distribution class in the exponential family.
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Taxonomy
TopicsBayesian Methods and Mixture Models · Mathematical Approximation and Integration · Advanced Harmonic Analysis Research