Geodesic
The Age-dependent Branching Processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 4, pp. 577-594

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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. 
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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/