Complete convergence and complete moment convergence for weighted sums of m -NA random variables

Journal of inequalities and applications

Yongfeng Wu¹ 

关键词: complete convergence;    complete moment convergence;    weighted sums;    m-negatively associated random variable;    60F15;    62G05;   

DOI  :  10.1186/s13660-015-0717-1

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The authors study the complete convergence and the complete moment convergence for weighted sums of m-negatively associated (m-NA) random variables and obtain some new results. These results extend and improve the corresponding theorems of Sung (Stat. Pap. 52:447-454, 2011). In addition, we point out that an open problem presented in Sung (Stat. Pap. 54:773-781, 2013) can be solved by means of the method used in this paper.

【 授权许可】

CC BY