A note on the convergence of the Bayesian entropy estimator for exchangeable partitions

2023/11/17 by Servet Martı́nez, Martinez, Servet · 1 citation
Computer Science · #Bayesian Methods and Mixture Models

paper · pdf · doi:10.48550/arxiv.2311.10698

Abstract

We show that when the proportions of a countable set of species are organized as an exchangeable partition of the unit interval and we take a sample on it, then the Bayesian posterior entropy converges a.s. and in L¹ to the entropy of the species when the sample size diverges to infinity.

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