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

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.

UDC: 519.21

MSC: 60J80

DOI: 10.26117/2079-6641-2021-36-3-15-28