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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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\transl
\jour Theory Probab. Appl.
\yr 2003
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\issue 1
\pages 132--138
\crossref{https://doi.org/10.1137/S0040585X97979573}
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Linking options:
  • 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:
    1. Limnios N. Yarovaya E., “Diffusion Approximation of Branching Processes in Semi-Markov Environment”, Methodol. Comput. Appl. Probab., 22:4 (2020), 1583–1590  crossref  mathscinet  isi
    2. Bansaye V., Caballero M.-E., Meleard S., “Scaling Limits of Population and Evolution Processes in Random Environment”, Electron. J. Probab., 24 (2019), 19  crossref  mathscinet  zmath  isi
    3. Limnios N. Yarovaya E., “Diffusion Approximation of Near Critical Branching Processes in Fixed and Random Environment”, Stoch. Models, 35:2 (2019), 209–220  crossref  mathscinet  isi  scopus
    4. Bansaye V. Simatos F., “on the Scaling Limits of Galton-Watson Processes in Varying Environments”, Electron. J. Probab., 20 (2015), 75  crossref  mathscinet  zmath  isi  elib  scopus
    5. Vincent Bansaye, Sylvie Méléard, Stochastic Models for Structured Populations, 2015, 39  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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