EQUIVALENCE OF COMPLETE CONVERGENCE AND LAW OF LARGE NUMBERS FOR B-VALUED RANDOM ELEMENTS |
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| Authors: | LIANG HANYING |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092, 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. |
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| Keywords: | Complete convergence B-valued random element Law of large number Equivalence |
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