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Matematicheskie Zametki, 2015, Volume 98, Issue 5, Pages 769–781
DOI: https://doi.org/10.4213/mzm10472 (Mi mzm10472) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Generalization of the Law of the Iterated Logarithm for Associated Random Fields

A. P. Shashkin

Lomonosov Moscow State University
Full-text PDF (523 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm10472
Abstract: A variant of the law of the iterated logarithm for associated fields for which the indexing set for partial sums can be arbitrarily unbounded is proved. Depending on the structure of this set, an explicit value of the upper limit in the law of the iterated logarithm is given.
Keywords: law of the iterated logarithm, associated random field, indexing set, multi-indexed random variable, covariance function, Cox–Grimmet coefficients, Bolthausen theorem.
Funding agency Grant number
Russian Foundation for Basic Research 13-01-00612
Received: 21.02.2014
Revised: 09.05.2014
English version:
Mathematical Notes, 2015, Volume 98, Issue 5, Pages 831–842
DOI: https://doi.org/10.1134/S0001434615110127
Bibliographic databases:
Document Type: Article
UDC: 519.21
Language: Russian
Citation: A. P. Shashkin, “Generalization of the Law of the Iterated Logarithm for Associated Random Fields”, Mat. Zametki, 98:5 (2015), 769–781; Math. Notes, 98:5 (2015), 831–842
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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