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

Servet Martinez

Nov 2023

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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 L^1 to the entropy of the species when the sample size diverges to infinity.

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