LARGE DEVIATIONS AND MODERATE DEVIATIONS FOR m-NEGATIVELY ASSOCIATED RANDOM VARIABLES

被引：0

作者：

胡亦钧

明瑞星

杨文权

机构：

[1] School of Mathematics and Statistics Wuhan University Wuhan 430072

[2] China

[3] China Department of Mathematics

[4] Jianghran University

[5] Wuhan 430056

来源：

Acta Mathematica Scientia | 2007年 / 04期

基金：

中国国家自然科学基金;

关键词：

negatively associated random variables; stationary sequence; strong law of large numbers; large deviations; moderate deviations;

D O I：

暂无

中图分类号：

O211 [概率论（几率论、或然率论）];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

M-negatively associated random variables,which generalizes the classical one of negatively associated random variables and includes m-dependent sequences as its par- ticular case,are introduced and studied.Large deviation principles and moderate devi- ation upper bounds for stationary m-negatively associated random variables are proved. Kolmogorov-type and Marcinkiewicz-type strong laws of large numbers as well as the three series theorem for m-negatively associated random variables are also given.

引用

页码：886 / 896

页数：11

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