A Local Limit Theorem for sums of independent random vectors

被引：9

作者：

Dolgopyat, Dmitry ^{[1
]}

机构：

[1] Univ Maryland, Dept Math, College Pk, MD 20742 USA

来源：

ELECTRONIC JOURNAL OF PROBABILITY | 2016年 / 21卷

基金：

美国国家科学基金会;

关键词：

local limit theorem; characteristic function; lattice distribution; concentration inequality;

D O I：

10.1214/16-EJP4232

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 prove a local limit theorem for sums of independent random vectors satisfying appropriate tightness assumptions. In particular, the local limit theorem holds in dimension 1 if the summands are uniformly bounded.

引用

页数：15

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