Communications of the
Korean Mathematical Society
CKMS

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

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Commun. Korean Math. Soc. 1998; 13(2): 377-384

Printed June 1, 1998

Copyright © The Korean Mathematical Society.

Slln for Weighted Sums of Stochastically Dominated Pairwise Independent Random Variables

Soo Hak Sung

Pai Chai University

Abstract

Let $\{X_n, n\ge 1\}$ be a sequence of stochastically dominated pairwise independent random variables. Let $\{a_n, n\ge 1\}$ and $\{b_n, n\ge 1\}$ be sequences of constants such that $a_n\ne 0$ and $0

Keywords: pairwise independent random variables, strong law of large numbers, weighted sums

MSC numbers: 60F15