Non parametric estimation of joint, Renyi-Stallis entropies and mutual information and asymptotic limits
Methodology
2020-01-14 v2
Abstract
This paper proposes a new method for estimating the joint probability mass function of a pair of discrete random variables. This estimator is used to construct joint Shannon R\'enyi-Tsallis entropies, and the mutual information estimates of a pair of discrete random variables. Almost sure consistency and central limit Theorems are established. Our theorical results are validated by simulations.
Keywords
Cite
@article{arxiv.1906.06484,
title = {Non parametric estimation of joint, Renyi-Stallis entropies and mutual information and asymptotic limits},
author = {Amadou Diadie Ba and Gane Samb Lo and Cheikh Tidiane Seck},
journal= {arXiv preprint arXiv:1906.06484},
year = {2020}
}
Comments
20 pages, 4 figures