Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2005; 20(3): 539-546

Printed September 1, 2005

Copyright © The Korean Mathematical Society.

On the almost sure convergence of weighted sums of negatively associated random variables

Jong Il Baek, Sung Tae Park, Sung Mo Chung, Hye Young Seo

Wonkwang University, Wonkwang University, Wonkwang University, Wonkwang University

Abstract

Let $\{X, X_{n}| n \geq 1 \}$ be a sequence of identically negatively associated random variables under some conditions.~We discuss strong laws of weighted sums for arrays of negatively associated random variables.

Keywords: strong laws of large numbers, almost sure convergence, arrays, negatively associated random variables

MSC numbers: 60H60, 60F15