Maximal inequality for weakly dependent random fields (Q1889661)
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scientific article; zbMATH DE number 2121416
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Maximal inequality for weakly dependent random fields |
scientific article; zbMATH DE number 2121416 |
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Maximal inequality for weakly dependent random fields (English)
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7 December 2004
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The author considers a certain class of weakly dependent random fields on \(\mathbb{Z}^d\) with decreasing covariances called \((BL, \theta)\)-dependent field which is introduced by \textit{A. Bulinski} and \textit{C. Suquet} [Stat. Probab. Lett. 54, No. 2, 215--226 (2001; Zbl 0989.60052)]. He obtains a moment inequality for the maxima of the local sums of the field over bounded region of \(\mathbb{Z}^d\).
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weakly dependent random field
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maximal inequality
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indexing set
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Lipschitz function
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Cauchy-Schwarz-Bunyakovskii inequality
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