Complete convergence for weighted sums of pairwise independent random variables

被引:1
作者
Ge, Li [1 ,2 ]
Liu, Sanyang [1 ]
Miao, Yu [3 ]
机构
[1] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
[2] Henan Inst Sci & Technol, Sch Math Sci, Xinxiang 453003, Peoples R China
[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Peoples R China
来源
OPEN MATHEMATICS | 2017年 / 15卷
基金
中国国家自然科学基金;
关键词
Complete convergence; Pairwise independent random variables; Weighted sums; Moving average processes; SURE CONVERGENCE; LARGE NUMBERS; STRONG LAW; ARRAYS;
D O I
10.1515/math-2017-0044
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we have established the complete convergence for weighted sums of pairwise independent random variables, from which the rate of convergence of moving average processes is deduced.
引用
收藏
页码:467 / 476
页数:10
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