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On moments of the maximum of partial sums of moving average processes under dependence assumptions

✍ Scribed by Xing-cai Zhou; Jin-guan Lin


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2011
Tongue
English
Weight
199 KB
Volume
27
Category
Article
ISSN
0168-9673

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On the rate of complete convergence for
✍ 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