Geodesic
Some limit theorems for branchings processes with a~final type of particles
Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 529-535

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A continuous-time branching process is considered. Let $\mu_{jk}(t)$ ($j,k=1,2,3$) be the numbers of particles of types $T_k$ generated by particles of type $T_k$ in time interval $[0,t]$. Let $T_1$ be a final type $(\mathbf P\{\mu_{11}(t)=1\}=1)$. We prove some limit theorems for $\mu_{12}(t)$ and $\mu_{13}(t)$ as $t\to\infty$. 
@article{TVP_1970_15_3_a9,
     author = {V. P. Chistyakov},
     title = {Some limit theorems for branchings processes with a~final type of particles},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {529--535},
     publisher = {mathdoc},
     volume = {15},
     number = {3},
     year = {1970},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/}
}
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V. P. Chistyakov. Some limit theorems for branchings processes with a~final type of particles. Teoriâ veroâtnostej i ee primeneniâ, Tome 15 (1970) no. 3, pp. 529-535. http://geodesic.mathdoc.fr/item/TVP_1970_15_3_a9/