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Mathematics of the USSR-Izvestiya, 1983, Volume 20, Issue 3, Pages 503–533
DOI: https://doi.org/10.1070/IM1983v020n03ABEH001617 (Mi im1626) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Extremal estimates of probability measures and their combinatorial nature

A. F. Sidorenko
English version PDF (1412 kB) Citations (7)
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DOI: https://doi.org/10.1070/IM1983v020n03ABEH001617
Abstract: The problem of finding an extremal estimate of the probability of some event under restrictions on the probabilities of other events is investigated, and it is proved to be equivalent to combinatorial problems on monotone classes of $l$-graphs. New probability inequalities are obtained as specific results.
Bibliography: 22 titles.
Received: 03.03.1981
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1982, Volume 46, Issue 3, Pages 535–568
Bibliographic databases:
UDC: 519.2+519.1
MSC: Primary 05C65, 60E15; Secondary 05C15, 05C35, 46B20, 46C05, 60G50, 62D05
Language: English
Original paper language: Russian
Citation: A. F. Sidorenko, “Extremal estimates of probability measures and their combinatorial nature”, Izv. Akad. Nauk SSSR Ser. Mat., 46:3 (1982), 535–568; Math. USSR-Izv., 20:3 (1983), 503–533
Citation in format AMSBIB
\Bibitem{Sid82}
\by A.~F.~Sidorenko
\paper Extremal estimates of probability measures and their combinatorial nature
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1982
\vol 46
\issue 3
\pages 535--568
\mathnet{http://mi.mathnet.ru/im1626}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=661146}
\zmath{https://zbmath.org/?q=an:0538.60022|0513.60013}
\transl
\jour Math. USSR-Izv.
\yr 1983
\vol 20
\issue 3
\pages 503--533
\crossref{https://doi.org/10.1070/IM1983v020n03ABEH001617}
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  • https://www.mathnet.ru/eng/im/v46/i3/p535
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
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    Abstract page:279
    Russian version PDF:119
    English version PDF:9
    References:51
    First page:1
     
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