论文标题

有条件的香农,Réyni和Tsallis熵估计和渐近限制:离散案例

Conditional Shannon, Réyni, and Tsallis entropies estimation and asymptotic limits: discrete case

论文作者

Diadie, Ba Amadou, Samb, Lo Gane

论文摘要

描述了一种估计一对离散随机变量的关节概率质量函数的方法。该估计器用于构建条件的Shannon-Réyni-Tsallis熵估计。从那里建立了几乎确定的收敛速度和渐近正态性。理论结果通过模拟验证。

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-Réyni-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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