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stat.ME2026
Nonparametric Estimation of Extropy, Rényi Extropy, and Tsallis Extropy: Almost Sure Convergence and Asymptotic Normality
Amadou Diadie Ba
This paper proposes a nonparametric estimation procedure for extropy and its extensions, namely the α-Rényi and α-Tsallis extropies, for finite discrete random variables. We establ…
stat.ME2019
Non parametric estimation of joint, Renyi-Stallis entropies and mutual information and asymptotic limits
Amadou Diadie Ba, Gane Samb Lo, Cheikh Tidiane Seck
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 Rényi-…