A note on the convex infimum convolution inequality

被引：4

作者：

Feldheim, Naomi ^{[1
]}

Marsiglietti, Arnaud ^{[1
]}

Nayar, Piotr ^{[1
]}

Wang, Jing ^{[1
]}

机构：

[1] Univ Minnesota, Inst Math & Its Applicat, 207 Church St SE,306 Lind Hall, Minneapolis, MN 55455 USA

来源：

BERNOULLI | 2018年 / 24卷 / 01期

基金：

美国国家科学基金会;

关键词：

concentration of measure; convex sets; infimum convolution; Poincare inequality; product measures; LOGARITHMIC SOBOLEV INEQUALITIES; HYPERCONTRACTIVITY; POINCARE;

D O I：

10.3150/16-BEJ875

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We characterize the symmetric real random variables which satisfy the one dimensional convex infimum convolution inequality of Maurey. We deduce Talagrand's two-level concentration for random vector (X-1,, X-n), where X-i 's are independent real random variables whose tails satisfy certain exponential type decay condition.

引用

页码：257 / 270

页数：14

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