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Stochastic Analysis and Applications Volume 28, 2010 - Issue 3
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Original Articles

A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements

Pingyan Chen Department of Mathematics, Jinan University, Guangzhou, P.R. China
,
Víctor Hernández Departamento de Estadística e Investigación Operativa de la Universidad Nacional de Educación a Distancia, Madrid, Spain
,
Henar Urmeneta Departamento de Estadística e Investigación Operativa de la Universidad Pública de Navarra, Pamplona, SpainCorrespondence[email protected]
&
Andrei Volodin School of Mathematics and Statistics, University of Western Australia, Crawley, Australia
Pages 565-575 | Received 20 May 2009, Accepted 22 Oct 2009, Published online: 12 Apr 2010
 
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Abstract

We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. Compared with similar results presented in the probabilistic literature our conditions are weaker.

Mathematics Subject Classification:

The authors are grateful to the referee for carefully reading the manuscript and for providing some comments which helped them improve the presentation. The research of P. Chen was supported by the National Natural Science Foundation of China. The research of A. Volodin was partially supported by National Science and Engineering Research Council of Canada.

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