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Almost sure convergence for double arrays of block-wise M -dependent random elements in Banach spaces

✍ Scribed by Van Quang, Nguyen (author);Van Thanh, Le (author);Tien, Nguyen Duy (author)

Book ID
120601950
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2011
Tongue
English
Weight
291 KB
Volume
18
Category
Article
ISSN
1072-947X

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Almost sure convergence for double array
Almost sure convergence for double arrays of block-wise M -dependent random elements in Banach spaces
✍ Van Quang, Nguyen (author);Van Thanh, Le (author);Tien, Nguyen Duy (author) πŸ“‚ Article πŸ“… 2011 πŸ› Walter de Gruyter GmbH & Co. KG 🌐 English βš– 291 KB

For a double array of blockwise M-dependent random elements ΒΉV mn W m 1; n 1ΒΊ taking values in a real separable Rademacher type p (1 Γ„ p Γ„ 2) Banach space, we provide conditions to obtain the almost sure convergence for double sums The paper treats two cases: (i) ΒΉV mn W m 1; n 1ΒΊ is block-wise M-d