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Mathematics of the USSR-Sbornik, 1983, Volume 46, Issue 2, Pages 161–170
DOI: https://doi.org/10.1070/SM1983v046n02ABEH002762 (Mi sm2246) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On absolute continuity and singularity of the distributions of random fields

A. A. Gushchin
English version PDF (527 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/SM1983v046n02ABEH002762
Abstract: A criterion is obtained for the absolute continuity or singularity of probability measures corresponding to certain classes of two-parameter discrete random fields. The proof is based on some lemmas which describe the sets of convergence of two-parameter semimartingales.
Bibliography: 5 titles.
Received: 12.11.1981
Bibliographic databases:
Document Type: Article
UDC: 519.2
MSC: Primary 60G30, 60G60; Secondary 60E99, 60G48
Language: English
Original paper language: Russian
Citation: A. A. Gushchin, “On absolute continuity and singularity of the distributions of random fields”, Math. USSR-Sb., 46:2 (1983), 161–170
Citation in format AMSBIB
\Bibitem{Gus82}
\by A.~A.~Gushchin
\paper On absolute continuity and singularity of the distributions of random fields
\jour Math. USSR-Sb.
\yr 1983
\vol 46
\issue 2
\pages 161--170
\mathnet{http://mi.mathnet.ru/eng/sm2246}
\crossref{https://doi.org/10.1070/SM1983v046n02ABEH002762}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=658786}
\zmath{https://zbmath.org/?q=an:0521.60046|0497.60035}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:379
    Russian version PDF:105
    English version PDF:28
    References:88
    First page:1
     
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