Large deviations and isoperimetry over convex probability measures with heavy tails

被引：35

作者：

Bobkov, Sergey G. ^{[1
]}

机构：

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

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2007年 / 12卷

关键词：

large deviations; convex measures; dilation of sets; transportation of mass; Khinchin-type; isoperimetric; weak Poincare; Sobolev-type inequalities;

D O I：

10.1214/EJP.v12-440

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 [统计学]; 070103 [概率论与数理统计]; 0714 [统计学];

摘要：

Large deviations and isoperimetric inequalities are considered for probability distributions, satisfying convexity conditions of the Brunn-Minkowski-type.

引用

页码：1072 / 1100

页数：29

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