New concentration inequalities in product spaces

被引：276

作者：

Talagrand, M ^{[1
]}

机构：

[1] OHIO STATE UNIV,DEPT MATH,COLUMBUS,OH 43210

来源：

INVENTIONES MATHEMATICAE | 1996年 / 126卷 / 03期

关键词：

D O I：

10.1007/s002220050108

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce three new ways to measure the ''distance'' from a point to a subset of a product space and we prove corresponding concentration inequalities. Each of them allows to control the fluctuation of a new class of random variables.

引用

页码：505 / 563

页数：59