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Diskretnaya Matematika, 2007, Volume 19, Issue 1, Pages 11–16
DOI: https://doi.org/10.4213/dm3 (Mi dm3) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Bounds for extremal values of the mean number of cells containing a given number of particles

R. R. Gil'manshin, A. M. Zubkov, N. A. Kolokol'nikova
Full-text PDF (114 kB) Citations (1)
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DOI: https://doi.org/10.4213/dm3
Abstract: We consider extremal values of the mathematical expectation of the number of cells containing exactly $r$ particles in the set of polynomial schemes of allocating $n$ particles to $N$ cells. We describe the properties of the distributions which supply the extremal values and obtain two-sided bounds for the extremal values.
Received: 27.03.2006
Revised: 20.12.2006
English version:
Discrete Mathematics and Applications, 2007, Volume 17, Issue 1, Pages 7–12
DOI: https://doi.org/10.1515/DMA.2007.002
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: R. R. Gil'manshin, A. M. Zubkov, N. A. Kolokol'nikova, “Bounds for extremal values of the mean number of cells containing a given number of particles”, Diskr. Mat., 19:1 (2007), 11–16; Discrete Math. Appl., 17:1 (2007), 7–12
Citation in format AMSBIB
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\by R.~R.~Gil'manshin, A.~M.~Zubkov, N.~A.~Kolokol'nikova
\paper Bounds for extremal values of the mean number of cells containing a~given number of particles
\jour Diskr. Mat.
\yr 2007
\vol 19
\issue 1
\pages 11--16
\mathnet{http://mi.mathnet.ru/dm3}
\crossref{https://doi.org/10.4213/dm3}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2325899}
\zmath{https://zbmath.org/?q=an:05233523}
\elib{https://elibrary.ru/item.asp?id=9468382}
\transl
\jour Discrete Math. Appl.
\yr 2007
\vol 17
\issue 1
\pages 7--12
\crossref{https://doi.org/10.1515/DMA.2007.002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34248158885}
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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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    		Дискретная математика
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    Full-text PDF :250
    References:62
    First page:12
     
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