Journal of the
Korean Mathematical Society
JKMS

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

Article

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J. Korean Math. Soc. 2017; 54(3): 897-907

Online first article January 4, 2017      Printed May 1, 2017

https://doi.org/10.4134/JKMS.j160300

Copyright © The Korean Mathematical Society.

Strong stability of a type of Jamison weighted sums for END random variables

Jigao Yan

Soochow University

Abstract

In this paper, we consider the strong stability of a type of Jamison weighted sums, which not only extend the corresponding result of Jamison etc.~\cite{11} from i.i.d.~case to END random variables, but also obtain the necessary and sufficient results. As an important consequence, we present the result of SLLN as that of i.i.d.~case.

Keywords: extended negatively dependent, weighted sums, strong stability

MSC numbers: 60F15