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Maximal Inequality for Weakly Dependent Random Fields

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Abstract

We obtain a maximal inequality for weakly dependent random fields associated with decreasing covariances of functions (of a certain class) of elements of the field as the distance between the indexing sets tends to infinity.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Russia

    A. P. Shashkin

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  1. A. P. Shashkin
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Shashkin, A.P. Maximal Inequality for Weakly Dependent Random Fields. Mathematical Notes 75, 717–725 (2004). https://doi.org/10.1023/B:MATN.0000030979.18805.3d

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  • DOI: https://doi.org/10.1023/B:MATN.0000030979.18805.3d

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