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Teoriya Veroyatnostei i ee Primeneniya, 1996, Volume 41, Issue 4, Pages 827–839
DOI: https://doi.org/10.4213/tvp3204
(Mi tvp3204)
 

This article is cited in 12 scientific papers (total in 12 papers)

On the distribution of the size of an epidemicin a non-Markovian model

A. N. Startsev

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan
Abstract: Exact and asymptotic distributions are obtained for the size of an epidemic spreading in a closed uniformly mixing population when the periods of communication of infected individuals and the immunity levels of susceptible ones are specified by independent random variables under various assumptions on their distributions.
Keywords: distribution of the size of an epidemic, non-Markovian models, order statistics, limit theorems.
Received: 13.04.1995
English version:
Theory of Probability and its Applications, 1997, Volume 41, Issue 4, Pages 730–740
DOI: https://doi.org/10.1137/S0040585X97975721
Bibliographic databases:
Language: Russian
Citation: A. N. Startsev, “On the distribution of the size of an epidemicin a non-Markovian model”, Teor. Veroyatnost. i Primenen., 41:4 (1996), 827–839; Theory Probab. Appl., 41:4 (1997), 730–740
Citation in format AMSBIB
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\paper On the distribution of the size of an epidemicin a~non-Markovian model
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\jour Theory Probab. Appl.
\yr 1997
\vol 41
\issue 4
\pages 730--740
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  • https://www.mathnet.ru/eng/tvp3204
  • https://doi.org/10.4213/tvp3204
  • https://www.mathnet.ru/eng/tvp/v41/i4/p827
  • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теория вероятностей и ее применения Theory of Probability and its Applications
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