On Complete Convergence for Weighted Sums of ρ*-Mixing Random Variables

被引：2
|
作者：
Shen, Aiting [1 ]
Wang, Xinghui [1 ]
Zhu, Huayan [1 ]
机构：
[1] Anhui Univ, Sch Math Sci, Hefei 230039, Peoples R China
来源：
ABSTRACT AND APPLIED ANALYSIS | 2013年
基金：
中国国家自然科学基金;
关键词：
DEPENDENT RANDOM-VARIABLES; STRONG LIMIT-THEOREMS; STRONG LAWS; (RHO)OVER-TILDE-MIXING SEQUENCES; INVARIANCE-PRINCIPLE; SURE CONVERGENCE; LARGE NUMBERS; ARRAYS; INEQUALITIES;
D O I：
10.1155/2013/947487
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the strong law of large numbers for weighted sums Sigma(n)(i=1) a(ni)X(i), which generalizes and improves the corresponding one for independent and identically distributed randomvariables and phi-mixing randomvariables. In addition, we present some results on complete convergence for weighted sums of rho*-mixing random variables under some suitable conditions, which generalize the corresponding ones for independent random variables.
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收藏
页数：7
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