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

Journal of inequalities and applications

Haiwu Huang¹ 

关键词: arrays of rowwise ANA random variables;    complete convergence;    complete moment convergence;    weighted sums;    60F15;   

DOI  :  10.1186/s13660-016-1016-1

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY