Paper detail

Non parametric estimation of joint, Renyi-Stallis entropies and mutual information and asymptotic limits

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-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.

preprint2020arXivOpen access

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