On complete convergence for \(L^p\)-mixingales (Q5926133)
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scientific article; zbMATH DE number 1570647
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On complete convergence for \(L^p\)-mixingales |
scientific article; zbMATH DE number 1570647 |
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On complete convergence for \(L^p\)-mixingales (English)
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28 February 2001
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The author first slightly extends McLeish's (1975) notion of a mixingale to Banach space-valued, \(L^p\)-random variables, and then provides some sufficient conditions for the complete convergence of their partial sums. A corresponding result for randomly indexed sums of an \(L^p\)-mixingale is also provided.
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complete convergence
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\(L^p\)-mixingale
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Banach space-valued random variables
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strong law of large numbers
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random sums
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