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On the Rate of Complete Convergence for Weighted Sums of Arrays of Banach Space Valued Random Elements

✍ Scribed by Hu, T. C.; Li, D.; Rosalsky, A.; Volodin, A. I.

Book ID
121209241
Publisher
Society for Industrial and Applied Mathematics
Year
2003
Tongue
English
Weight
163 KB
Volume
47
Category
Article
ISSN
0040-585X

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πŸ“œ SIMILAR VOLUMES

On the rate of complete convergence for
On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes
✍ S.Ejaz Ahmed; Rita Giuliano Antonini; Andrei Volodin πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 112 KB

We obtain complete convergence results for arrays of rowwise independent Banach space valued random elements. In the main result no assumptions are made concerning the geometry of the underlying Banach space. As corollaries we obtain a result on complete convergence in stable type p Banach spaces an