A note on the convergence of the Bayesian entropy estimator for exchangeable partitions
Probability
2023-11-20 v1
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 L^1 to the entropy of the species when the sample size diverges to infinity.
Keywords
Cite
@article{arxiv.2311.10698,
title = {A note on the convergence of the Bayesian entropy estimator for exchangeable partitions},
author = {Servet Martinez},
journal= {arXiv preprint arXiv:2311.10698},
year = {2023}
}
Comments
8 pages