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| EQUIVALENCE OF COMPLETE CONVERGENCE AND LAWOF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS |
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Citation： |
LIANG Hanying.EQUIVALENCE OF COMPLETE CONVERGENCE AND LAWOF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS[J].Chinese Annals of Mathematics B,2000,21(1):83~88 |
| Page view： 1165
Net amount： 796 |
Authors： |
LIANG Hanying; |
Foundation： |
Project supported by the National Natural Science Foundation of China. |
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| 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. |
Keywords： |
Complete convergence, B-valued random element, Law of large number, Equivalence |
Classification： |
60B12 |
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