A reverse entropy power inequality for log-concave random vectors

被引：20
|
作者：
Ball, Keith [1 ]
Nayar, Piotr [2 ]
Tkocz, Tomaz [1 ]
机构：
[1] Univ Warwick, Math Inst, Coventry CV4 7AL, W Midlands, England
[2] Inst Math & Applicat, Minneapolis, MN 55455 USA
来源：
STUDIA MATHEMATICA | 2016年 / 235卷 / 01期
基金：
美国国家科学基金会;
关键词：
entropy; log-concave; reverse entropy power inequality; FISHER INFORMATION; SIMPLE PROOF; JUMPS;
D O I：
10.4064/sm8418-6-2016
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that the exponent of the entropy of one-dimensional projections of a log-concave random vector defines a 1/5-seminorm. We make two conjectures concerning reverse entropy power inequalities in the log-concave setting and discuss some examples.
引用
收藏
页码：17 / 30
页数：14
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