Limit theorems for decomposable branching processes with final types
Sbornik. Mathematics, Tome 33 (1977) no. 1, pp. 136-146
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Limit theorems are proved for a branching process homogeneous in continuous time, which has $n$ types of particles. The types $T_1,\dots,T_n$ are contained in classes of ranks $0,1,\dots,n-1$ respectively. Each type is either subcritical, critical, or final, and the set of final types is nonempty. Bibliography: 4 titles.
@article{SM_1977_33_1_a7,
author = {A. K. Polin},
title = {Limit theorems for decomposable branching processes with final types},
journal = {Sbornik. Mathematics},
pages = {136--146},
year = {1977},
volume = {33},
number = {1},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_1977_33_1_a7/}
}
A. K. Polin. Limit theorems for decomposable branching processes with final types. Sbornik. Mathematics, Tome 33 (1977) no. 1, pp. 136-146. http://geodesic.mathdoc.fr/item/SM_1977_33_1_a7/
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[3] A. K. Polin, “Predelnye teoremy dlya razlozhimykh kriticheskikh vetvyaschikhsya protsessov”, Matem. sb., 100 (142) (1976), 420–435 | MR | Zbl
[4] E. Kamke, Spravochnik po obyknovennym differentsialnym uravneniyam, izd-vo «Nauka», Moskva, 1976, 367–368 | MR