Moderate deviations of empirical processes

被引：0

作者：

Arcones, MA ^{[1
]}

机构：

[1] SUNY Binghamton, Dept Math Sci, Binghamton, NY 13902 USA

来源：

STOCHASTIC INEQUALITIES AND APPLICATIONS | 2003年 / 56卷

关键词：

moderate deviations; empirical processes; Banach space valued r.v.'s;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give necessary and sufficient conditions for the moderate deviations of empirical processes and of sums of i.i.d. random vectors with values in a separable Banach space. Our approach is based on a characterization of the large deviation principle using the large deviations of the finite dimensional distributions plus an asymptotic exponential equicontinuity condition.

引用

页码：189 / 212

页数：24

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