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Diskretnaya Matematika, 2020, Volume 32, Issue 4, Pages 38–51
DOI: https://doi.org/10.4213/dm1622 (Mi dm1622) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computation of distributions of statistics by means of Markov chains

A. M. Zubkov, M. V. Filina

Steklov Mathematical Institute of Russian Academy of Sciences
Full-text PDF (517 kB) Citations (2) English version article
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DOI: https://doi.org/10.4213/dm1622
Abstract: An approach to the construction of efficient algorithms for the exact computation of distributions of statistics by means of the Markov chains is described. The Pearson statistic, the number of empty cells for random allocations of particles, and the Kolmogorov – Smirnov statistic are considered as examples. Possibilities of extending the approach are discussed, in particular to the computation of the joint distributions of statistics.
Keywords: prelimit distributions of statistics, exact computation of distributions, Markov chains, Pearson statistics, number of empty cells, Kolmogorov – Smirnov statistics.
Received: 25.03.2020
English version:
Discrete Mathematics and Applications, 2022, Volume 32, Issue 4, Pages 285–295
DOI: https://doi.org/10.1515/dma-2022-0024
Bibliographic databases:
Document Type: Article
UDC: 519.233.33+519.254
Language: Russian
Citation: A. M. Zubkov, M. V. Filina, “Computation of distributions of statistics by means of Markov chains”, Diskr. Mat., 32:4 (2020), 38–51; Discrete Math. Appl., 32:4 (2022), 285–295
Citation in format AMSBIB
\Bibitem{ZubFil20}
\by A.~M.~Zubkov, M.~V.~Filina
\paper Computation of distributions of statistics by means of Markov chains
\jour Diskr. Mat.
\yr 2020
\vol 32
\issue 4
\pages 38--51
\mathnet{http://mi.mathnet.ru/dm1622}
\crossref{https://doi.org/10.4213/dm1622}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4184790}
\transl
\jour Discrete Math. Appl.
\yr 2022
\vol 32
\issue 4
\pages 285--295
\crossref{https://doi.org/10.1515/dma-2022-0024}
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  • https://www.mathnet.ru/eng/dm/v32/i4/p38
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Дискретная математика
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