Two Remarks on Generalized Entropy Power Inequalities

被引：8

作者：

Madiman, Mokshay ^{[1
]}

Nayar, Piotr ^{[2
]}

Tkocz, Tomasz ^{[3
]}

机构：

[1] Univ Delaware, Newark, DE 19716 USA

[2] Univ Warsaw, Warsaw, Poland

[3] Carnegie Mellon Univ, Pittsburgh, PA 15213 USA

来源：

GEOMETRIC ASPECTS OF FUNCTIONAL ANALYSIS: ISRAEL SEMINAR (GAFA) 2017-2019, VOL II | 2020年 / 2266卷

基金：

欧洲研究理事会; 美国国家科学基金会;

关键词：

SHANNONS PROBLEM; RENYI ENTROPY; MONOTONICITY;

D O I：

10.1007/978-3-030-46762-3_7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This note contributes to the understanding of generalized entropy power inequalities. Our main goal is to construct a counter-example regarding monotonicity and entropy comparison of weighted sums of independent identically distributed log-concave random variables. We also present a complex analogue of a recent dependent entropy power inequality of Hao and Jog, and give a very simple proof.

引用

页码：169 / 185

页数：17

共 41 条

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