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Convergence of randomly weighted sums of Banach space valued random elements and uniform integrability concerning the random weights

✍ Scribed by Tien-Chung Hu; Manuel Ordóñez Cabrera; Andrei I. Volodin

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
115 KB
Volume
51
Category
Article
ISSN
0167-7152

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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