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arXiv · 2007.11030

Concentration functions and entropy bounds for discrete log-concave distributions

Sergey G. Bobkov·Arnaud Marsiglietti·James Melbourne
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Abstract

Two-sided bounds are explored for concentration functions and R\'enyi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.

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Sergey G. Bobkov, Arnaud Marsiglietti, James Melbourne. 2020-07-21. Concentration functions and entropy bounds for discrete log-concave distributions. https://arxiv.org/abs/2007.11030

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