Sergey G. Bobkov, Gennadiy P. Chistyakov
Abstract
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
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The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
Key concepts: Entropy power inequality, Rényi entropy, Mathematics, Min entropy, Maximum entropy probability distribution, Entropy (arrow of time), Joint quantum entropy, Joint entropy