Some strong laws of large numbers for weighted sums of asymptotically almost negatively associated random variables

被引：20
|
作者：
Tang, Xiaofeng [1 ]
机构：
[1] Fuyang Teachers Coll, Sch Math & Comp Sci, Fuyang 236041, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年
关键词：
asymptotically almost negatively associated random variables; Marcinkiewicz strong law of large numbers; weighted sums; the three series theorem; AANA;
D O I：
10.1186/1029-242X-2013-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper, we study the strong law of large numbers for general weighted sums of asymptotically almost negatively associated random variables (AANA, in short) with non-identical distribution. As an application, the Marcinkiewicz strong law of large numbers for AANA random variables is obtained. In addition, we present some sufficient conditions to prove the strong law of large numbers for weighted sums of AANA random variable. Our results generalize the corresponding ones (sufficient conditions) for independent random variables.
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页数：11
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