Slln for Weighted Sums of Stochastically Dominated Pairwise Independent Random Variables

Commun. Korean Math. Soc. 1998 Vol. 13, No. 2, 377-384

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