Complete convergence and complete moment convergence for arrays of rowwise ANA random variables

被引：0
|
作者：
Haiwu Huang
Jiangyan Peng
Xiongtao Wu
Bin Wang
机构：
[1] Hengyang Normal University,College of Mathematics and Statistics
[2] Guilin University of Technology,College of Science
[3] University of Electronic Science and Technology of China,School of Mathematical Science
来源：
Journal of Inequalities and Applications | / 2016卷
关键词：
arrays of rowwise ANA random variables; complete convergence; complete moment convergence; weighted sums; 60F15;
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摘要：
In this article, we investigate complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables. The results obtained not only generalize the corresponding ones of Sung (Stat. Pap. 52:447-454, 2011), Zhou et al. (J. Inequal. Appl. 2011:157816, 2011), and Sung (Stat. Pap. 54:773-781, 2013) to the case of ANA random variables, but also improve them.
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