Conditional Shannon, Réyni, and Tsallis entropies estimation and asymptotic limits: discrete case (2002.06516v1)

Published 16 Feb 2020 in math.ST, stat.ME, and stat.TH

Abstract: A method of estimating the joint probability mass function of a pair of discrete random variables is described. This estimator is used to construct the conditional Shannon-R\'eyni-Tsallis entropies estimates. From there almost sure rates of convergence and asymptotic normality are established. The theorical results are validated by simulations.

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