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Diskretnaya Matematika, 2017, Volume 29, Issue 4, Pages 143–157
DOI: https://doi.org/10.4213/dm1456 (Mi dm1456) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Limit Poisson law for the distribution of the number of components in generalized allocation scheme

A. N. Timashev

Institute of Cryptography, Communications and Informatics
Full-text PDF (464 kB) Citations (6) English version article
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DOI: https://doi.org/10.4213/dm1456
Abstract: We consider problems on the convergence of distributions of the total number of components and numbers of components with given volume to the Poisson law. Sufficient conditions of such convergence are given. Our results generalize known statemets on the limit Poisson laws of the number of components (cycles, unrooted and rooted trees, blocks and other structures) in the corresponding generalized allocation schemes.
Keywords: generalized allocation scheme, Poisson distribution, components, cycles, blocks, trees, saddle-point method.
Received: 29.05.2017
English version:
Discrete Mathematics and Applications, 2019, Volume 29, Issue 4, Pages 255–266
DOI: https://doi.org/10.1515/dma-2019-0023
Bibliographic databases:
Document Type: Article
UDC: 519.214+519.212.2
Language: Russian
Citation: A. N. Timashev, “Limit Poisson law for the distribution of the number of components in generalized allocation scheme”, Diskr. Mat., 29:4 (2017), 143–157; Discrete Math. Appl., 29:4 (2019), 255–266
Citation in format AMSBIB
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\paper Limit Poisson law for the distribution of the number of components in generalized allocation scheme
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\issue 4
\pages 143--157
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\crossref{https://doi.org/10.4213/dm1456}
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\transl
\jour Discrete Math. Appl.
\yr 2019
\vol 29
\issue 4
\pages 255--266
\crossref{https://doi.org/10.1515/dma-2019-0023}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Дискретная математика
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