摘要
在较宽泛的条件下研究了不同分布两两NQD列加权和的收敛性质,利用矩不等式和截尾方法,获得了一般双下标加权系数的加权部分和的L_p收敛性和完全收敛性定理,推广了前人的相应结果.
Under very mild conditions, the convergence properties for weighted sums Of palrwise NQD random sequences with the different distribution are studied. By the mean's moment inequality and truncated method, the author is able to give the Lp convergence and complete convergence for the general double index weighted partial stuns, which extend the corresponding results in a previous paper.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第3期605-609,共5页
Pure and Applied Mathematics
基金
安徽省高校省级自然科研项目(KJ2008B15ZC)
安徽省高校青年教师资助计划项目(2008jq1140)
关键词
两两NQD列
加权和
一致可积
Lp收敛性
完全收敛性
pairwise NQD random sequences, weighted sum, uniform integrability, convergence in the Lp mean, complete convergence