Conditional Shannon, R\'eyni, and Tsallis entropies estimation and asymptotic limits: discrete case

Ba Amadou Diadie; Lo Gane Samb

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arXiv · 2002.06516

Conditional Shannon, R\'eyni, and Tsallis entropies estimation and asymptotic limits: discrete case

Ba Amadou Diadie·Lo Gane Samb

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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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BibTeX RIS

Ba Amadou Diadie, Lo Gane Samb. 2020-02-16. Conditional Shannon, R\'eyni, and Tsallis entropies estimation and asymptotic limits: discrete case. https://arxiv.org/abs/2002.06516

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