摘要
本文利用Chen等^([14])所获得的随机变量阵列加权和完全收敛的充分条件,建立了随机变量阵列加权和完全收敛的等价条件,推广了Liang^([11])的结果.同时我们采用和Liang不同的证明方法,极大地简化了证明过程,并在此基础上拓展了Gut^([13])关于独立随机变量Cesaro和的完全收敛性结论.
In this article, applying the result of complete convergence for negatively associated (NA) random variables which is obtained by Chen et al. the equivalent conditions of complete convergence for weighted sums of arrays of row-wise negatively associated random variables is investigated. As a result, the corresponding results of Liang is generalized, moreover, the proof procedure is simplified greatly which is different from truncation method of Liang's. Thus, Gut's result on Ceshro summation of i.i.d. random variables is extended.
出处
《应用概率统计》
CSCD
北大核心
2017年第5期467-474,共8页
Chinese Journal of Applied Probability and Statistics
基金
国家自然科学基金项目(批准号:11271020
11201004)
安徽省自然科学基金项目(批准号:1508085MA11)
安徽省教育厅自然科学研究基金重点项目(批准号:KJ2014A083)资助