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 Mat. Vopr. Kriptogr., 2018, Volume 9, Issue 4, Pages 53–72 (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

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.

DOI: https://doi.org/10.4213/mvk270

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UDC: 519.218.23

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} \elib{http://elibrary.ru/item.asp?id=37652152}