Strong Law of Large Numbers for Negatively Associated Random Variables

被引：0

作者：

Wang, Yourong ^{[1
]}

Tan, Yili ^{[2
]}

Liu, Yanli ^{[1
]}

机构：

[1] Tangshan Coll, Dept Basic, Tangshan 063000, Hebei, Peoples R China

[2] Hebei United Univ, Coll Sci, Tangshan 063009, Hebei, Peoples R China

来源：

INFORMATION COMPUTING AND APPLICATIONS, PT II | 2011年 / 244卷

关键词：

Strong law of large numbers; Negatively associated random variables; Moment condition; Moment inequality;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The classical theorem concerns the arithmetic means which is a regular method of summability. In this paper, under a large class of summability methods, a result for strong law of large numbers for negatively associated random variables is obtained. To investigate this result, this paper establishes a moment inequality for negatively associated random variables. Then, by restricting the moment conditions and use the method of summability, the result is extended for negatively associated random variables, which is closely related to classical theorems. Namely, it links in some sense the strong law of large numbers of Kolmogorov and that of Marcinkiewicz.

引用

页码：18 / +

页数：2

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