Showing papers by "Tongji University published in 1980"
TL;DR: In this paper, the equivalence between the complete convergence and the law of large number for B-valued independent random elements is discussed under some conditions on probability, and the results of [10] become a simple corollary of the results in this paper.
Abstract: Under some conditions on probability, this note discusses the equivalence between the complete convergence and the law of large number for B-valued independent random elements. The results of [10] become a simple corollary of the results here. At the same time, the author uses them to investigate the equivalence of strong and weak law of large numbers, and there exists an example to show that the conditions on probability are weaker.