Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2015; 52(3): 825-836

Printed May 31, 2015

https://doi.org/10.4134/BKMS.2015.52.3.825

Copyright © The Korean Mathematical Society.

A note on the complete moment convergence for arrays of $B$-valued random variables

Yongfeng Wu and Mingzhu Song

Tongling University, Tongling University

Abstract

In this article, we discuss the complete moment convergence for arrays of $B$-valued random variables. We obtain some new results which improve the corresponding ones of Sung and Volodin \cite{17}.

Keywords: complete moment convergence, weighted sums, $B$-valued random variables

MSC numbers: 60F15, 60F05, 60B12