[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.2.375

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES

Hu, Tien-Chung (Department of Mathematics Tsing Hua University)
Sung, Soo-Hak (Department of Applied Mathematics Pai Chai University)
Volodin, Andrei (Department of Mathematics and Statistics University of Regina)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.2, 2003 , pp. 375-383 More about this Journal

Abstract

Under some conditions on an array of rowwise independent random variables, Hu et at. (1998) obtained a complete convergence result for law of large numbers with rate {a $\_$ n/, n $\geq$ 1} which is bounded away from zero. We investigate the general situation for rate {a $\_$ n/, n $\geq$ 1) under similar conditions.

Keywords

Arrays; rowwise independence; sums of independent random variables; complete convergence; Rademacher type p Banach space; random elements;

Citations & Related Records

Reference

1	Sums of independent Banach space valued random variables / [ J. Hoffmann-JØrgensen ] / Studies Math. DOI
2	A note on complete convergence for arrays / [ T.C.Hu.;D.Szynl;A.Rosalsky;A.I.Volodinr ] / Statist. Probab. Lett. DOI ScienceOn
3	Probabilistic methods in the geometry of Banach spaces / [ G.Pisier ] / Lecture Notes in Mathematics DOI
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5	Complete convergence, Asmptotic Statistics, / [ A.Gut ] / Proceedings of the Fith Prague Symposium, Physica Verlag held September
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10	Addendum to A note on complete convergence for arrays / [ T.C.Hu;A.L.Volodin ] / Statist. Probab. Lett.

Reference

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1	ON COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM ELEMENTS / [Sung Soo-Hak;Cabrera Manuel Ordonez;Hu Tien-Chung;] / Journal of the Korean Mathematical Society
2	ON COMPLETE CONVERGENCE FOR WEIGHTED SUMS OF I.I.D. RANDOM VARIABLES WITH APPLICATION TO MOVING AVERAGE PROCESSES / [Sung, Soo-Hak;] / Bulletin of the Korean Mathematical Society
3	ON THE COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE EXTENDED NEGATIVELY DEPENDENT RANDOM VARIABLES / [Qiu, Dehua;Chen, Pingyan;Antonini, Rita Giuliano;Volodin, Andrei;] / Journal of the Korean Mathematical Society