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
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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).
@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 -
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/