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.
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     author = {A. K. Polin},
     title = {Limit theorems for decomposable branching processes with final types},
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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/