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Matematicheskie Zametki, 1974, Volume 16, Issue 1, Pages 141–149 (Mi mzm7445)  
This article is cited in 1 scientific paper (total in 1 paper)

The strong law of large numbers for homogeneous random fields

V. V. Yurinskii

V. A. Steklov Mathematical Institute, USSR Academy of Sciences
Full-text PDF (578 kB) Citations (1)
Abstract: We formulate, in terms of correlation functions, sufficient conditions for the applicability of the strong law of large numbers to random fields, homogeneous in the wide sense. We consider averages over spheres with center at the coordinate origin and also over rectangular parallelepipeds.
Received: 19.01.1973
English version:
Mathematical Notes, 1974, Volume 16, Issue 1, Pages 668–673
DOI: https://doi.org/10.1007/BF01098824
Bibliographic databases:
UDC: 519.2
Language: Russian
Citation: V. V. Yurinskii, “The strong law of large numbers for homogeneous random fields”, Mat. Zametki, 16:1 (1974), 141–149; Math. Notes, 16:1 (1974), 668–673
Citation in format AMSBIB
\Bibitem{Yur74}
\by V.~V.~Yurinskii
\paper The strong law of large numbers for homogeneous random fields
\jour Mat. Zametki
\yr 1974
\vol 16
\issue 1
\pages 141--149
\mathnet{http://mi.mathnet.ru/mzm7445}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=385985}
\zmath{https://zbmath.org/?q=an:0333.60043}
\transl
\jour Math. Notes
\yr 1974
\vol 16
\issue 1
\pages 668--673
\crossref{https://doi.org/10.1007/BF01098824}
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  • https://www.mathnet.ru/eng/mzm7445
  • https://www.mathnet.ru/eng/mzm/v16/i1/p141
    • This publication is cited in the following 1 articles:
    1. Arkady Tempelman, Ergodic Theorems for Group Actions, 1992, 207  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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