Complete Conyergence and Strong Laws of Large Numbers-for Weighted Sums of Sequences of Independent B-Valued Random Elements

摘要

In this paper,we obtain theorems of complete convergence and strong laws of large numbers for weighted sums of sequences of independent random elements in a Banach space of type p(1 ≤ p ≤ 2).The results improve and extend the corresponding results on real random variables obtained by [1] and [2].