B值随机元和的完全收敛性

Acta mathematica scientia,Series A ›› 1997, Vol. 17 ›› Issue (S1): 76-82.

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Complete Convergence for Sums of B-valued Random Elements

Liang Hanying¹, Niu Sili²

1. Dept. of stat. and Finance. Univ. of Sci. and Tech. of China, Hefei 230026;
2. Department of Mathematics. Henan Normal University, Xinxiang, 453002

Received:1996-01-10 Revised:1996-09-09 Online:1997-12-26 Published:1997-12-26

Abstract

Abstract: We discuss the complete convergence for the partial sums of B-valued random element sequences which are bounded by a non-negative random variable. As an application we obtain corresponding results for randomly indexed partial sums of B-valued random element sequences. Some results in[5] are extended to sequences of B-valued independent random elements,and the results in[3] (d=1),[4],[6]are particular case of these results.

Key words: B-valued random element, complete convergence, slowly variable function

Liang Hanying, Niu Sili. Complete Convergence for Sums of B-valued Random Elements[J].Acta mathematica scientia,Series A, 1997, 17(S1): 76-82.

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Complete Convergence for Sums of B-valued Random Elements

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