摘要
本文运用渐近几乎负相关(简称AANA)随机序列的矩不等式与截尾的方法,得到了不同分布的AANA随机序列最大部分加权和完全矩收敛的充分必要条件.所得结果推广和改进了文献[15]、[16]和[17]相应的结论.
In this paper, by applying the moment inequality for asymptotically almost negatively associated (AANA, in short) random sequence and truncated method, the equivalent conditions of complete moment convergence of the maximum partial for weighted sums of AANA random variables are obtained without assumptions of identical distribution, which generalize and improve the corresponding ones of [15],[16] and [17], respectively.
作者
孟兵
王定成
吴群英
MENG Bing;WANG Dingcheng;WU Qunying(School of Mathematical Sciences,University of Electronic Science and Technology of China,Chengdu,611731,China;College of Science,Guilin University of Technology,Guilin,541004,China)
出处
《应用概率统计》
CSCD
北大核心
2019年第4期345-359,共15页
Chinese Journal of Applied Probability and Statistics
基金
supported by the National Natural Science Foundation of China(Grant Nos.71271042
11661029
11661030
71501025)
the Applied Basic Project of Sichuan Province(Grant No.2016JY0257)
关键词
AANA随机变量
完全收敛
完全矩收敛
加权和
AANA random variables
complete convergence
complete moment convergence
weighted sums
