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Teoriya Veroyatnostei i ee Primeneniya, 2023, Volume 68, Issue 1, Pages 21–37
DOI: https://doi.org/10.4213/tvp5578 (Mi tvp5578) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Probabilistic properties of Zipf sets and their maximal intersections

M. A. Lifshits, I. M. Lialinov

Saint Petersburg State University
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DOI: https://doi.org/10.4213/tvp5578
Abstract: In the article, the weak and strong laws of large numbers are obtained for various characteristics of a generalized Zipf set. Based on these results, we investigate the maximal intersection size between a random Zipf set and the elements of a large base of independent random sets of the same type but, eventually, with different parameters. This question is significant for applications.
Keywords: laws of large numbers, maximal intersections, Zipf sets, random sets.
Funding agency Grant number
Russian Science Foundation 21-11-00047
This work was supported by the Russian Science Foundation (grant 21-11-00047).
Received: 12.05.2022
Accepted: 15.09.2022
English version:
Theory of Probability and its Applications, 2023, Volume 68, Issue 1, Pages 16–30
DOI: https://doi.org/10.1137/S0040585X97T991258
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: M. A. Lifshits, I. M. Lialinov, “Probabilistic properties of Zipf sets and their maximal intersections”, Teor. Veroyatnost. i Primenen., 68:1 (2023), 21–37; Theory Probab. Appl., 68:1 (2023), 16–30
Citation in format AMSBIB
\Bibitem{LifLia23}
\by M.~A.~Lifshits, I.~M.~Lialinov
\paper Probabilistic properties of Zipf sets and their maximal intersections
\jour Teor. Veroyatnost. i Primenen.
\yr 2023
\vol 68
\issue 1
\pages 21--37
\mathnet{http://mi.mathnet.ru/tvp5578}
\crossref{https://doi.org/10.4213/tvp5578}
\transl
\jour Theory Probab. Appl.
\yr 2023
\vol 68
\issue 1
\pages 16--30
\crossref{https://doi.org/10.1137/S0040585X97T991258}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85166270297}
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  • https://doi.org/10.4213/tvp5578
  • https://www.mathnet.ru/eng/tvp/v68/i1/p21
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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