A note on complete convergence of weighted sums for array of rowwise AANA random variables

Journal of inequalities and applications

Xinghui Wang¹ 

关键词: complete convergence;    Baum-Katz theorem;    AANA random variable;    Marcinkiewicz-Zygmund type strong law of large numbers;   

DOI  :  10.1186/1029-242X-2013-359

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we consider complete convergence and complete moment convergence of weighted sums for an array of rowwise AANA random variables. The main result of the paper generalizes the Baum-Katz theorem on AANA random variables. Our results extend and improve the corresponding ones of Wang et al. (Abstr. Appl. Anal. 2012:315138, 2012). MSC:60B10, 60F15.

【 授权许可】

CC BY