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.

引用

页数：7

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