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Teoriya Veroyatnostei i ee Primeneniya, 2021, Volume 66, Issue 2, Pages 392–401
DOI: https://doi.org/10.4213/tvp5345 (Mi tvp5345) 		 
Short Communications

On a probabilistic Bernstein model

A. I. Rubinshtein, V. B. Sherstyukov

National Engineering Physics Institute "MEPhI", Moscow
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DOI: https://doi.org/10.4213/tvp5345
Abstract: Extensions of S. N. Bernstein's example of three dependent random events of which any two are independent are considered. A complete description of such examples is given in the framework of the symmetric probability model.
Keywords: Bernstein example, dependent (independent) random events, Diophantine equation, $j$-free number.
Received: 12.09.2019
Accepted: 27.07.2020
English version:
Theory of Probability and its Applications, 2021, Volume 66, Issue 2, Pages 318–325
DOI: https://doi.org/10.1137/S0040585X97T990411
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. I. Rubinshtein, V. B. Sherstyukov, “On a probabilistic Bernstein model”, Teor. Veroyatnost. i Primenen., 66:2 (2021), 392–401; Theory Probab. Appl., 66:2 (2021), 318–325
Citation in format AMSBIB
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\by A.~I.~Rubinshtein, V.~B.~Sherstyukov
\paper On a~probabilistic Bernstein model
\jour Teor. Veroyatnost. i Primenen.
\yr 2021
\vol 66
\issue 2
\pages 392--401
\mathnet{http://mi.mathnet.ru/tvp5345}
\crossref{https://doi.org/10.4213/tvp5345}
\zmath{https://zbmath.org/?q=an:1470.60023}
\transl
\jour Theory Probab. Appl.
\yr 2021
\vol 66
\issue 2
\pages 318--325
\crossref{https://doi.org/10.1137/S0040585X97T990411}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129577823}
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