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SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTSS
Authors:LIANG Hanying
Abstract:In this paper, we discuss the conditions of complete convergence for partial sums and randomly indexed partial sums of independent but not necessarily identically distributed random elements in type p space, and obtain the characterization of Banach space of type p. Yu. H.'s some results(1989) on the case of real value are extended.
Keywords:Complete convergence   B-valued random element   type p space   slowly varying function.
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