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Matematicheskie Zametki, 2008, Volume 83, Issue 6, Pages 843–856
DOI: https://doi.org/10.4213/mzm4836 (Mi mzm4836) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Moment Inequality for Sums of Multi-Indexed Dependent Random Variables

N. Yu. Kryzhanovskaya

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (529 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm4836
Abstract: We study a real random field defined on an integer lattice. Its dependence is described by certain covariance inequalities. We obtain an upper bound of absolute moments of appropriate order for particular sums (generated by a given field) taken over finite sets of arbitrary configuration.
Keywords: real random field, weak association of random variables, moment inequality, covariance inequalities, Lebesgue measure, Lipschitz function.
Received: 01.08.2007
English version:
Mathematical Notes, 2008, Volume 83, Issue 6, Pages 770–782
DOI: https://doi.org/10.1134/S0001434608050234
Bibliographic databases:
UDC: 519.21
Language: Russian
Citation: N. Yu. Kryzhanovskaya, “Moment Inequality for Sums of Multi-Indexed Dependent Random Variables”, Mat. Zametki, 83:6 (2008), 843–856; Math. Notes, 83:6 (2008), 770–782
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    1. Alexander Bulinski, Evgeny Spodarev, “Central limit theorems for weakly dependent random fields”, Lect. Notes Math., 2068 (2013), 337–383  mathnet  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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