Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

Article

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J. Korean Math. Soc. 2013; 50(2): 379-392

Printed March 1, 2013

https://doi.org/10.4134/JKMS.2013.50.2.379

Copyright © The Korean Mathematical Society.

On the complete convergence for arrays of rowwise extended negatively dependent random variables

Dehua Qiu, Pingyan Chen, Rita Giuliano Antonini, and Andrei Volodin

Guangdong University of Business Studies, Jinan University, Universit{\`a} di Pisa, University of Regina

Abstract

A general result for the complete convergence of arrays of rowwise extended negatively dependent random variables is derived. As its applications eight corollaries for complete convergence of weighted sums for arrays of rowwise extended negatively dependent random variables are given, which extend the corresponding known results for independent case.

Keywords: complete convergence, extended negatively dependent random variables, weighted sums

MSC numbers: 60F15