Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 4, pp. 577-594
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B. A. Sevast'janov. The Age-dependent Branching Processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 4, pp. 577-594. http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a0/
@article{TVP_1964_9_4_a0,
author = {B. A. Sevast'janov},
title = {The {Age-dependent} {Branching} {Processes}},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {577--594},
year = {1964},
volume = {9},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a0/}
}
TY - JOUR
AU - B. A. Sevast'janov
TI - The Age-dependent Branching Processes
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1964
SP - 577
EP - 594
VL - 9
IS - 4
UR - http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a0/
LA - ru
ID - TVP_1964_9_4_a0
ER -
%0 Journal Article
%A B. A. Sevast'janov
%T The Age-dependent Branching Processes
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1964
%P 577-594
%V 9
%N 4
%U http://geodesic.mathdoc.fr/item/TVP_1964_9_4_a0/
%G ru
%F TVP_1964_9_4_a0
In § 1 we consider a generalization of one model of age-dependent branching processes constructed by R. Bellman and T. E. Harris. In § 2 we derive necessary and sufficient conditions for the extinction of such branching processes. In § 3, 4 we prove a limit theorem for critical branching processes.
