A note on the complete convergence for arrays of dependent random variables

Journal of inequalities and applications

Soo Hak Sung¹ 

关键词: Complete convergence;    Negatively associated random variables;    Negatively dependent random variables;   

DOI  :  10.1186/1029-242X-2011-76

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

A complete convergence result for an array of rowwise independent mean zero random variables was established by Kruglov et al. (2006). This result was partially extended to negatively associated and negatively dependent mean zero random variables by Chen et al. (2007) and Dehua et al. (2011), respectively. In this paper, we obtain complete extended versions of Kruglov et al. Mathematics Subject Classification 60F15

【 授权许可】

CC BY