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Teoriya Veroyatnostei i ee Primeneniya, 2002, Volume 47, Issue 1, Pages 183–188
DOI: https://doi.org/10.4213/tvp3526 (Mi tvp3526) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Short Communications

A note on diffusion-type approximation to branching processes in random environments

K. A. Borovkov

University of Melbourne, Department of Mathematics and Statistics
Full-text PDF (709 kB) Citations (5)
DOI: https://doi.org/10.4213/tvp3526
Abstract: We extend the known results on diffusion-type approximation to branching processes in random environments. In particular, the range of the initial values of the processes can be much wider, moment conditions are more general, and the approximant can be a discontinuous process. The proof is based on the author's estimates for diffusion approximation to branching processes in varying environments.
Keywords: branching process in random environments, diffusion approximation.
Received: 22.12.1999
English version:
Theory of Probability and its Applications, 2003, Volume 47, Issue 1, Pages 132–138
DOI: https://doi.org/10.1137/S0040585X97979573
Bibliographic databases:
Document Type: Article
Language: English
Citation: K. A. Borovkov, “A note on diffusion-type approximation to branching processes in random environments”, Teor. Veroyatnost. i Primenen., 47:1 (2002), 183–188; Theory Probab. Appl., 47:1 (2003), 132–138
Citation in format AMSBIB
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\paper A note on diffusion-type approximation to branching processes in random environments
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\pages 183--188
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\zmath{https://zbmath.org/?q=an:1039.60075}
\transl
\jour Theory Probab. Appl.
\yr 2003
\vol 47
\issue 1
\pages 132--138
\crossref{https://doi.org/10.1137/S0040585X97979573}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000183800400012}
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  • https://www.mathnet.ru/eng/tvp3526
  • https://doi.org/10.4213/tvp3526
  • https://www.mathnet.ru/eng/tvp/v47/i1/p183
    • This publication is cited in the following 5 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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