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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 36, Number 3, Pages 15–28
DOI: https://doi.org/10.26117/2079-6641-2021-36-3-15-28 (Mi vkam487) 		 
MATHEMATICS

Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes

Sh. Yu. Jurayev, A. F. Aliyev

Institute of Mathematics named after V. I. Romanovsky, Academy of Sciences
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DOI: https://doi.org/10.26117/2079-6641-2021-36-3-15-28
Abstract: We consider branching random processes with discrete time in two assumptions: at the initial moment of time there is one particle and there are large number of particles. In transition phenomena for such branching random processes, estimates of the convergence rate of conditional distributions are obtained.
Keywords: branching processes, conditional distribution, transition phenomena, a large number of particles, exponential distribution, Essen's theorem.
Document Type: Article
UDC: 519.21
MSC: 60J80
Language: Russian
Citation: Sh. Yu. Jurayev, A. F. Aliyev, “Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 36:3 (2021), 15–28
Citation in format AMSBIB
\Bibitem{JurAli21}
\by Sh.~Yu.~Jurayev, A.~F.~Aliyev
\paper Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 36
\issue 3
\pages 15--28
\mathnet{http://mi.mathnet.ru/vkam487}
\crossref{https://doi.org/10.26117/2079-6641-2021-36-3-15-28}
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