Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables

Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables

Year:    2014

Author:    Mingle Guo, Chunyu Xu, Dongjin Zhu

Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 41–50

Abstract

In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables are established. These results generalize and complement some known conclusions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2014-CMR-18986

Communications in Mathematical Research , Vol. 30 (2014), Iss. 1 : pp. 41–50

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    complete convergence negatively associated $m$-negatively associated weighted sum.

Author Details

Mingle Guo

Chunyu Xu

Dongjin Zhu