Geodesic
Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes
Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 15-28

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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. 
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     author = {Sh. Yu. Jurayev and A. F. Aliyev},
     title = {Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes},
     journal = {Vestnik KRAUNC. Fiziko-matemati\v{c}eskie nauki},
     pages = {15--28},
     publisher = {mathdoc},
     volume = {36},
     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a1/}
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Sh. Yu. Jurayev; A. F. Aliyev. Estimates of the convergence rate in the limit theorems on transition phenomena for branching random processes. Vestnik KRAUNC. Fiziko-matematičeskie nauki, Tome 36 (2021) no. 3, pp. 15-28. http://geodesic.mathdoc.fr/item/VKAM_2021_36_3_a1/