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Complete convergence for weighted sums of arrays of banach-space-valued random elements*

✍ Scribed by De Hua Qiu, Tien-Chung Hub, Manuel Ordóñez Cabrera…

Book ID
120745310
Publisher
Springer
Year
2012
Tongue
English
Weight
140 KB
Volume
52
Category
Article
ISSN
0363-1672

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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 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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