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Teoriya Veroyatnostei i ee Primeneniya, 2009, Volume 54, Issue 1, Pages 3–17
DOI: https://doi.org/10.4213/tvp2496 (Mi tvp2496) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Invariance Principle for the Critical Branching Process in a Random Environment Attaining a High Level

V. I. Afanasyev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (186 kB) Citations (7)
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DOI: https://doi.org/10.4213/tvp2496
Abstract: A conditional invariance principle is established for the critical branching process in a random environment attaining a high level, and finite-dimensional distributions of the limiting process are found.
Keywords: branching process in a random environment, conditional invariance principles, Brownian excursion, Brownian meander.
Received: 14.12.2007
Revised: 20.06.2008
English version:
Theory of Probability and its Applications, 2010, Volume 54, Issue 1, Pages 1–13
DOI: https://doi.org/10.1137/S0040585X97984061
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. I. Afanasyev, “Invariance Principle for the Critical Branching Process in a Random Environment Attaining a High Level”, Teor. Veroyatnost. i Primenen., 54:1 (2009), 3–17; Theory Probab. Appl., 54:1 (2010), 1–13
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    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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