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Matematicheskie Voprosy Kriptografii [Mathematical Aspects of Cryptography], 2018, Volume 9, Issue 4, Pages 53–72
DOI: https://doi.org/10.4213/mvk270 (Mi mvk270) 		 
Conditional limit theorem for the near critical branching processes with final type of particles

V. A. Vatutin

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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DOI: https://doi.org/10.4213/mvk270
Abstract: A limit theorem is proved for the distribution of the number of particles in the near critical branching processes with final type of particles conditioned on the survival of the processes up to a distant moment.
Key words: decomposable branching process, final type of particles, population size, conditional limit theorem.
Received 18.IV.2018
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Document Type: Article
UDC: 519.218.23
Language: Russian
Citation: V. A. Vatutin, “Conditional limit theorem for the near critical branching processes with final type of particles”, Mat. Vopr. Kriptogr., 9:4 (2018), 53–72
Citation in format AMSBIB
\Bibitem{Vat18}
\by V.~A.~Vatutin
\paper Conditional limit theorem for the near critical branching processes with final type of particles
\jour Mat. Vopr. Kriptogr.
\yr 2018
\vol 9
\issue 4
\pages 53--72
\mathnet{http://mi.mathnet.ru/mvk270}
\crossref{https://doi.org/10.4213/mvk270}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3942686}
\elib{https://elibrary.ru/item.asp?id=37652152}
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