On the Rosenthal inequality for mixing fields (Q2740383)
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scientific article; zbMATH DE number 1646699
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Rosenthal inequality for mixing fields |
scientific article; zbMATH DE number 1646699 |
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16 September 2001
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mixing random fields
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Rosenthal inequality
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On the Rosenthal inequality for mixing fields (English)
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The authors propose a version of the \textit{H. P. Rosenthal's} inequality [Isr. J. Math. 8, 273-303 (1970; Zbl 0213.19303)] for \(\alpha\)-mixing fields. The results and proofs are slight modifications of the results and proofs proposed by \textit{P. Doukhan} [``Mixing: Properties and examples'' (1994; Zbl 0801.60027)] and \textit{S. A. Utev} [Tr. Inst. Mat. 3, 50-77 (1984; Zbl 0541.60016)]. The authors ~discus the problem and clear up some points in the above mentioned papers. Similar results and comments can be made for the \(\varphi\)-mixing fields (see also Remark 4 on p. 32 in \textit{P. Doukhan}'s work quoted above).
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