关于B值随机和的完全收敛性的进一步讨论

Abstract

Abstract: In this paper, we obtain sufficient conditions for the complete convergence of the randomly indexed sums of the B -valued elements on basis of a series of equivalence relations of the complete convergence for the non-randomly indexed sums of the B-valued elements,improve and perfect some results of relevant references, and preliminary discuss necessary problem for the moment conditions. In this paper, we obtain sufficient conditions for the complete convergence of the randomly indexed sums of the B-valued elements on basis of a series of equivalence relations of the complete convergence for the non-randomly indexed sums of the B-valued elements,improve and perfect some results of relevant references, and preliminary discuss necessary problem for the moment conditions.

Key words: B-valued elements, Randomly indexed sums, Complete convergence

Su Chun, Wang Yuebao. A Further Discussion on the Complet Con-Vergence of Randomly Indexed Sums of B-Valued Elements[J].Acta mathematica scientia,Series A, 1997, 17(1): 74-80.

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A Further Discussion on the Complet Con-Vergence of Randomly Indexed Sums of B-Valued Elements

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