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Teor. Veroyatnost. i Primenen., 2019, Volume 64, Issue 4, Pages 671–691 (Mi tvp5327)  

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

V. A. Vatutin, E. E. D'yakonova

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

Abstract: A conditional limit theorem is proved describing the distribution of the population size at the initial evolutionary stage of a weakly subcritical branching process in random environment given its survival for a long time.

Keywords: weakly subcritical branching process , random environment, random walk, change of measure, limit theorems.

Funding Agency Grant Number
Russian Science Foundation 19-11-00111


DOI: https://doi.org/10.4213/tvp5327

Full text: PDF file (532 kB)
First page: PDF file
References: PDF file   HTML file

MSC: Primary 60J80, Secondary 60G50, 60F17
Received: 10.06.2019
Revised: 27.08.2019
Accepted:27.06.2019

Citation: V. A. Vatutin, E. E. D'yakonova, “The initial evolution stage of a weakly subcrtical branching process in random environment”, Teor. Veroyatnost. i Primenen., 64:4 (2019), 671–691

Citation in format AMSBIB
\Bibitem{VatDya19}
\by V.~A.~Vatutin, E.~E.~D'yakonova
\paper The initial evolution stage of a weakly subcrtical branching process in random environment
\jour Teor. Veroyatnost. i Primenen.
\yr 2019
\vol 64
\issue 4
\pages 671--691
\mathnet{http://mi.mathnet.ru/tvp5327}
\crossref{https://doi.org/10.4213/tvp5327}


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