STRONG LAWS OF LARGE NUMBERS FOR WEIGHTED SUMS OF SET-VALUED RANDOM VARIABLES IN RADEMACHER TYPE P BANACH SPACE

Abstract

In this paper, we shall prove some strong laws of large numbers(SLLN’s) for weighted sums of set-valued random variables in the sense of Hausdorff metric dH for which the basic space being Rademacher type p (1 ≤ p ≤ 2) Banach space. We partially follow the results of classical SLLN’s for X-valued random variables in [2], extending it to more general set-valued case.