A Central Limit Theorem and its Applications to Multicolor Randomly Reinforced Urns

TL;DR

This paper establishes a central limit theorem with applications to Bayesian statistics and multicolor reinforced urn models, providing new insights into their probabilistic behavior.

Contribution

It introduces a central limit theorem specifically for multicolor randomly reinforced urns, advancing the understanding of their asymptotic properties.

Findings

Central limit theorem proven for multicolor reinforced urns

Applications demonstrated in Bayesian statistical models

Enhanced understanding of urn process asymptotics

Abstract

We give a central limit theorem, which has applications to Bayesian statistics and urn problems. The latter are investigated, by paying special attention to multicolor randomly reinforced generalized Polya urns.