Equivalence of complete convergence and law of large numbers for B-valued random elements

被引：0
|
作者：
Hanying L. [1 ]
机构：
[1] Department of Applied Mathematics, Tongji University, Shanghai
来源：
Chinese Annals of Mathematics | 2000年 / 21卷 / 1期
关键词：
0211.4; 1991 MR Subject Classification: 60B12; B-valued random element; Complete convergence; Equivalence; Law of large number;
D O I：
10.1007/BF02731962
中图分类号：
学科分类号：
摘要：
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. © 1983 Shanghai Scientific & Technological Literature Publishing House.
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页码：83 / 88
页数：5
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