Conditional Shannon, R\'eyni, and Tsallis entropies estimation and asymptotic limits: discrete case
Statistics Theory
2020-02-18 v1 Methodology
Statistics Theory
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.
Keywords
Cite
@article{arxiv.2002.06516,
title = {Conditional Shannon, R\'eyni, and Tsallis entropies estimation and asymptotic limits: discrete case},
author = {Ba Amadou Diadie and Lo Gane Samb},
journal= {arXiv preprint arXiv:2002.06516},
year = {2020}
}
Comments
28 pages, 4 figures