Variants of the Entropy Power Inequality

Sergey G. Bobkov, Arnaud Marsiglietti

Research output: Contribution to journalArticlepeer-review

29 Scopus citations

Abstract

An extension of the entropy power inequality to the form Nrα (X+Y) ≥ Nrα (X) + Nrα (Y) with arbitrary independent summands X and Y in Rn is obtained for the Rényi entropy and powers α ≥(r+1)/2.

Original languageEnglish (US)
Article number8076873
Pages (from-to)7747-7752
Number of pages6
JournalIEEE Transactions on Information Theory
Volume63
Issue number12
DOIs
StatePublished - Dec 2017

Bibliographical note

Publisher Copyright:
© 1963-2012 IEEE.

Keywords

  • Entropy power inequality
  • Rényi entropy

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