A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables

Journal of inequalities and applications

Qunying Wu¹ 

关键词: negatively dependent arrays of random variables;    complete convergence theorem;    moment inequality;   

DOI  :  10.1186/1029-242X-2012-50

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, applying moment inequality of negatively dependent (ND) random variables which obtained by Asadian et al., the complete convergence theorem for weighted sums of arrays of rowwise ND random variables is discussed. As a result, the complete convergence theorem for ND arrays of random variables is extended. Our results generalize and improve those on complete convergence theorem previously obtained by Hu et al., Ahmed et al, Volodin, and Sung from the independent and identically distributed case to ND sequences. Mathematical Subject Classification: 62F12.

【 授权许可】

CC BY