Geodesic
Some limit theorems for branching processes with immigration
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 2, pp. 254-268

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A generalization of Sevast'yanov's model ([1]) is considered. We prove limit theorems for the critical, subcritical and supercritical cases. 
@article{TVP_1970_15_2_a6,
     author = {V. P. Chistyakov},
     title = {Some limit theorems for branching processes with immigration},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {254--268},
     publisher = {mathdoc},
     volume = {15},
     number = {2},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a6/}
}
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V. P. Chistyakov. Some limit theorems for branching processes with immigration. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 2, pp. 254-268. http://geodesic.mathdoc.fr/item/TVP_1970_15_2_a6/