On the strong law of large numbers for sequences of random variables without the independence condition

被引：1
作者：
Korchevsky V.M. [1 ]
机构：
[1] St. Petersburg State University, St. Petersburg 199034
来源：
Vestnik St. Petersburg University: Mathematics | 2011年 / 44卷 / 4期
基金：
俄罗斯基础研究基金会;
关键词：
sequences of dependent random variables; strong law of large numbers;
D O I：
10.3103/S1063454111040066
中图分类号：
学科分类号：
摘要：
New sufficient conditions for the applicability of the strong law of large numbers to a sequence of dependent random variables X 1, X 2, ..., with finite variances are established. No particular type of dependence between the random variables in the sequence is assumed. The statement of the theorem involves the classical condition, which appears in various theorems on the strong law of large numbers for sequences of random variables without the independence condition. © 2011 Allerton Press, Inc.
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页码：268 / 271
页数：3
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