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Diskretnaya Matematika, 2018, Volume 30, Issue 2, Pages 14–26
DOI: https://doi.org/10.4213/dm1501 (Mi dm1501) 		 
This article is cited in 3 scientific papers (total in 3 papers)

A subcritical decomposable branching process in a mixed environment

E. E. D'yakonova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
Full-text PDF (442 kB) Citations (3) English version article
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DOI: https://doi.org/10.4213/dm1501
Abstract: A two-type decomposable branching process is considered in which particles of the first type may produce at the death moment offspring of both types while particles of the second type may produce at the death moment offspring of their own type only. The reproduction law of the first type particles is specified by a random environment. The reproduction law of the second type particles is one and the same for all generations. A limit theorem is proved describing the conditional distribution of the number of particles in the process at time $nt,t\in (0,1]$, given the survival of the process up to moment $n\rightarrow \infty .$
Keywords: branching process, mixed environment, limit theorem.
Funding agency Grant number
Russian Science Foundation 14-50-00005
Received: 05.02.2018
Revised: 14.05.2018
English version:
Discrete Mathematics and Applications, 2018, Volume 28, Issue 5, Pages 275–283
DOI: https://doi.org/10.1515/dma-2018-0024
Bibliographic databases:
Document Type: Article
UDC: 519.218.27
Language: Russian
Citation: E. E. D'yakonova, “A subcritical decomposable branching process in a mixed environment”, Diskr. Mat., 30:2 (2018), 14–26; Discrete Math. Appl., 28:5 (2018), 275–283
Citation in format AMSBIB
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\paper A subcritical decomposable branching process in a mixed environment
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\jour Discrete Math. Appl.
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  • https://doi.org/10.4213/dm1501
  • https://www.mathnet.ru/eng/dm/v30/i2/p14
    • 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
    		Дискретная математика
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