Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 443-455
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S. A. Aliev; V. M. Šurenkov. Transitional phenomena and the convergence of Galton–Watson processes to Jiřina processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 27 (1982) no. 3, pp. 443-455. http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a3/
@article{TVP_1982_27_3_a3,
author = {S. A. Aliev and V. M. \v{S}urenkov},
title = {Transitional phenomena and the convergence of {Galton{\textendash}Watson} processes to {Ji\v{r}ina} processes},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {443--455},
year = {1982},
volume = {27},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a3/}
}
TY - JOUR
AU - S. A. Aliev
AU - V. M. Šurenkov
TI - Transitional phenomena and the convergence of Galton–Watson processes to Jiřina processes
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1982
SP - 443
EP - 455
VL - 27
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a3/
LA - ru
ID - TVP_1982_27_3_a3
ER -
%0 Journal Article
%A S. A. Aliev
%A V. M. Šurenkov
%T Transitional phenomena and the convergence of Galton–Watson processes to Jiřina processes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1982
%P 443-455
%V 27
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1982_27_3_a3/
%G ru
%F TVP_1982_27_3_a3
We show that every transitional phenomenon is connected with a limit theorem describing the convergence of sequences of suitably normalized Galton–Watson processes to the so called continuous state branching processes (introduced by Jiřina).
