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SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTS

SOME DISCUSSION ON THE CONDITIONS OF COMPLETE CONVERGENCE FOR SUMS OF B-VALUED RANDOM ELEMENTSS
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摘要 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. 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.
出处 《Systems Science and Mathematical Sciences》 SCIE EI CSCD 2000年第2期164-169,共6页
关键词 COMPLETE CONVERGENCE B-valued random element type p space slowly VARYING function. Complete convergence, B-valued random element, type p space, slowly varying function.
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