Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences (Q1273336)
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scientific article; zbMATH DE number 1230052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences |
scientific article; zbMATH DE number 1230052 |
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Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences (English)
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9 January 2000
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This paper is concerned with complete convergence for partial sums and randomly indexed partial sums of Banach valued mixingale sequences for which the Banach space satisfies a certain kind of smoothness condition. Section 1 provides sufficient conditions for complete convergence of sums in terms of tail probability conditions on the summands. Section 2 provides extensions to the case of a random indexing.
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complete convergence
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mixingale sequence
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Banach space
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0.93736684
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0.92653143
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0.9262566
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0.9110434
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