On Complete Convergence of Weighted Sums for Arrays of Rowwise Negatively Dependent Random Variables

摘要

In this paper, some sufficient conditions of complete convergence of weighted sums for arrays of rowwise negatively dependent (ND for short) random variables are presented without the assumption of identical distribution. These results partly generalize the corresponding ones for independent random variables and negatively associated (NA for short) random variables. As an application,the Marcinkiewicz-Zygmund-type strong law of large numbers for weighted sums of negatively dependent random variables is obtained.