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Rate of complete convergence for maximums of moving average sums of martingale difference fields in Banach spaces

✍ Scribed by Ta Cong Son; Dang Hung Thang; Le Van Dung


Book ID
119373004
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
225 KB
Volume
82
Category
Article
ISSN
0167-7152

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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