Geodesic
Two limit theorems for critical branching processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 3, pp. 548-558

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The limit theorem for multitype age-dependent critical branching processes is proved. As the consequence the limit theorem for multitype branching processes with immigration is proved too. 
@article{TVP_1976_21_3_a6,
     author = {V. M. \v{S}urenkov},
     title = {Two limit theorems for critical branching processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {548--558},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {1976},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a6/}
}
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V. M. Šurenkov. Two limit theorems for critical branching processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 21 (1976) no. 3, pp. 548-558. http://geodesic.mathdoc.fr/item/TVP_1976_21_3_a6/