Entropy power inequality for the Rényi entropy

Sergey G. Bobkov; Gennadiy P. Chistyakov

doi:10.1109/TIT.2014.2383379

Entropy power inequality for the Rényi entropy

Sergey G. Bobkov, Gennadiy P. Chistyakov

School of Mathematics

Research output: Contribution to journal › Article › peer-review

63 Scopus citations

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.

Original language	English (US)
Article number	6990605
Pages (from-to)	708-714
Number of pages	7
Journal	IEEE Transactions on Information Theory
Volume	61
Issue number	2
DOIs	https://doi.org/10.1109/TIT.2014.2383379
State	Published - Feb 1 2015

Bibliographical note

Publisher Copyright:
© 2014 IEEE.

Keywords

Renyi entropy
entropy power inequality

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10.1109/TIT.2014.2383379

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title = "Entropy power inequality for the R{\'e}nyi entropy",

abstract = "The classical entropy power inequality is extended to the R{\'e}nyi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.",

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Entropy power inequality for the Rényi entropy

Abstract

Bibliographical note

Keywords

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