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Teoriya Veroyatnostei i ee Primeneniya, 1998, Volume 43, Issue 3, Pages 439–455
DOI: https://doi.org/10.4213/tvp1553 (Mi tvp1553) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Rate of convergence in the SLLN for associated sequences and fields

M. A. Vronskii

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (714 kB) Citations (8)
DOI: https://doi.org/10.4213/tvp1553
Abstract: Inequalities of the Rosenthal type for the moments of sums of associated random variables are specified on the lattice $\mathbb{Z}^d$. By means of the inequalities an estimate of the rate of convergence is obtained in the strong law of large numbers (SLLN) for associated stochastic processes and random fields.
Keywords: random fields, association, inequalities of the Rosenthal type, rate of convergence in SLLN.
Received: 21.04.1997
English version:
Theory of Probability and its Applications, 1999, Volume 43, Issue 3, Pages 449–462
DOI: https://doi.org/10.1137/S0040585X97976994
Bibliographic databases:
Language: Russian
Citation: M. A. Vronskii, “Rate of convergence in the SLLN for associated sequences and fields”, Teor. Veroyatnost. i Primenen., 43:3 (1998), 439–455; Theory Probab. Appl., 43:3 (1999), 449–462
Citation in format AMSBIB
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\by M.~A.~Vronskii
\paper Rate of convergence in the SLLN for associated sequences and fields
\jour Teor. Veroyatnost. i Primenen.
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\vol 43
\issue 3
\pages 439--455
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\zmath{https://zbmath.org/?q=an:0951.60026}
\transl
\jour Theory Probab. Appl.
\yr 1999
\vol 43
\issue 3
\pages 449--462
\crossref{https://doi.org/10.1137/S0040585X97976994}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000085137400007}
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  • https://doi.org/10.4213/tvp1553
  • https://www.mathnet.ru/eng/tvp/v43/i3/p439
    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
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