Open Access Research

A note on the complete convergence for weighted sums of negatively dependent random variables

Soo H Sung

Author Affiliations

Department of Applied Mathematics, Pai Chai University, Taejon, 302-735, South Korea

Journal of Inequalities and Applications 2012, 2012:158 doi:10.1186/1029-242X-2012-158

Published: 11 July 2012

Abstract

The complete convergence theorems for weighted sums of arrays of rowwise negatively dependent random variables were obtained by Wu (Wu, Q: Complete convergence for weighted sums of sequences of negatively dependent random variables. J. Probab. Stat. 2011, Article ID 202015, 16 pages) and Wu (Wu, Q: A complete convergence theorem for weighted sums of arrays of rowwise negatively dependent random variables. J. Inequal. Appl. 2012, 50). In this paper, we complement the results of Wu.

MSC: 60F15.

Keywords:
complete convergence; weighted sums; negatively dependent random variables