Variants of the Entropy Power Inequality

被引：26

作者：

Bobkov, Sergey G. ^{[1
]}

Marsiglietti, Arnaud ^{[2
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

[2] CALTECH, Pasadena, CA 91125 USA

来源：

IEEE TRANSACTIONS ON INFORMATION THEORY | 2017年 / 63卷 / 12期

基金：

美国国家科学基金会;

关键词：

Entropy power inequality; Renyi entropy; SIMPLE PROOF; CONCAVITY; MONOTONICITY;

D O I：

10.1109/TIT.2017.2764487

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

An extension of the entropy power inequality to the form N-r(alpha) (X + Y) >= N-r(alpha) (X) + N-r(alpha) (Y) with arbitrary independent summands X and Y in R-n is obtained for the Renyi entropy and powers alpha >= (r + 1)/2.

引用

页码：7747 / 7752

页数：6

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