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Matematicheskie Zametki, 2004, Volume 75, Issue 5, Pages 773–782
DOI: https://doi.org/10.4213/mzm70 (Mi mzm70) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Maximal Inequality for Weakly Dependent Random Fields

A. P. Shashkin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (223 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm70
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.
Received: 27.02.2003
English version:
Mathematical Notes, 2004, Volume 75, Issue 5, Pages 717–725
DOI: https://doi.org/10.1023/B:MATN.0000030979.18805.3d
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: A. P. Shashkin, “Maximal Inequality for Weakly Dependent Random Fields”, Mat. Zametki, 75:5 (2004), 773–782; Math. Notes, 75:5 (2004), 717–725
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    1. Alexander Bulinski, Evgeny Spodarev, “Central limit theorems for weakly dependent random fields”, Lect. Notes Math., 2068 (2013), 337–383  mathnet  crossref
    2. N. Yu. Kryzhanovskaya, “Moment Inequality for Sums of Multi-Indexed Dependent Random Variables”, Math. Notes, 83:6 (2008), 770–782  mathnet  crossref  crossref  mathscinet  zmath  isi
    3. Bulinski A. V., Shashkin A. P., “Strong invariance principle for dependent multi-indexed random variables”, Dokl. Math., 72:1 (2005), 503–506  mathscinet  zmath  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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