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A Note on Complete Convergence for Arrays of Rowwise Independent Banach Space Valued Random Elements |
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| Authors: | Pingyan Chen Víctor Hernández Andrei Volodin |
| Affiliation: | 1. Department of Mathematics , Jinan University , Guangzhou, P.R. China;2. Departamento de Estadística e Investigación Operativa de la Universidad Nacional de Educación a Distancia , Madrid, Spain;3. School of Mathematics and Statistics , University of Western Australia , Crawley, Australia |
| 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. |
| Keywords: | Banach space valued random element Complete convergence Convergence in probability Rowwise independence |