文献类型：期刊文献

英文题名：ALMOST SURE CONVERGENCE OF WEIGHTED SUMS

作者：Miao, Yu[1];Xu, ShouFang[2]

第一作者：Miao, Yu

通讯作者：Miao, Y[1]

机构：[1]Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China;[2]Xinxiang Univ, Dept Math & Informat Sci, Xinxiang City 453000, Henan Province, Peoples R China

第一机构：Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China

通讯机构：[1]corresponding author), Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan Province, Peoples R China.

年份：2013

卷号：14

期号：1

起止页码：173-181

外文期刊名：MISKOLC MATHEMATICAL NOTES

收录：;Scopus(收录号：2-s2.0-84892450000);WOS:【SCI-EXPANDED(收录号:WOS:000328081500016)】；

基金：The first author was supported in part by NSFC (No. 11001077), NCET (NCET-11-0945), Henan Province Foundation and Frontier Technology Research Plan (112300410205) and Plan For Scientific Innovation Talent of Henan Province (124100510014).

语种：英文

外文关键词：almost sure convergence; weighted sums; i.i.d. random variables; negatively associated sequence; martingale difference sequence; rho-mixing sequence

摘要：Let {X, X-n , n >= 1} be a sequence of identically distributed random variables and {a(i,n) , 1 <= i <= n} be a triangular array of constants. In this short paper, we establish a general almost sure convergence theorem for the weighted sum S-n = Sigma(n)(i=1) a(i,n) X-i. Our results improves the works of Sung [14]. Furthermore, almost sure convergence theorems of S n for negatively associated random variables, martingale difference sequence and rho-mixing sequence are obtained.