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Complete convergence in mean for double arrays of random variables with values in Banach spaces

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

Book ID
121530666
Publisher
Springer-Verlag
Year
2014
Tongue
English
Weight
158 KB
Volume
59
Category
Article
ISSN
0862-7940

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πŸ“œ SIMILAR VOLUMES

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