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Teoriya Veroyatnostei i ee Primeneniya, 2019, Volume 64, Issue 4, Pages 671–691
DOI: https://doi.org/10.4213/tvp5327 (Mi tvp5327) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The initial evolution stage of a weakly subcrtical branching process in a random environment

V. A. Vatutin, E. E. D'yakonova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (532 kB) Citations (3)
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DOI: https://doi.org/10.4213/tvp5327
Abstract: A conditional limit theorem is proved describing the distribution of the population size in the initial evolution stage of a weakly subcritical branching process in a random environment given its survival for a long time.
Keywords: weakly subcritical branching process, random environment, random walk, change of measures, limit theorem.
Funding agency Grant number
Russian Science Foundation 19-11-00111
This research was carried out with the financial support of the Russian Science Foundation (project 19-11-00111).
Received: 10.06.2019
Revised: 27.08.2019
Accepted: 27.06.2019
English version:
Theory of Probability and its Applications, 2020, Volume 64, Issue 4, Pages 535–552
DOI: https://doi.org/10.1137/S0040585X97T989684
Bibliographic databases:
Document Type: Article
MSC: Primary 60J80, Secondary 60G50, 60F17
Language: Russian
Citation: V. A. Vatutin, E. E. D'yakonova, “The initial evolution stage of a weakly subcrtical branching process in a random environment”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 671–691; Theory Probab. Appl., 64:4 (2020), 535–552
Citation in format AMSBIB
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  • https://doi.org/10.4213/tvp5327
  • https://www.mathnet.ru/eng/tvp/v64/i4/p671
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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