Geodesic
On transition phenomena in Bellman--Harris branching processes
Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 856-860

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Let $\mu(t)=(\mu_1(t),\dots,\mu_r(t))$ be a vector of number of particles in Bellman–Harris branching process with several types of particles. In this article the asymptotic behaviour of the probability $$ \mathbf P\{a^{-1}\otimes\mu(t)\ge x\mid\mu(0)=e_i\},\qquad x>0, $$ when $t\to\infty$, $R\to 1$ in a compact processes class $\mathscr H$, is investigated. 
@article{TVP_1977_22_4_a17,
     author = {{\CYRO}. V. V'yugin},
     title = {On transition phenomena in {Bellman--Harris} branching processes},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {856--860},
     publisher = {mathdoc},
     volume = {22},
     number = {4},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a17/}
}
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О. V. V'yugin. On transition phenomena in Bellman--Harris branching processes. Teoriâ veroâtnostej i ee primeneniâ, Tome 22 (1977) no. 4, pp. 856-860. http://geodesic.mathdoc.fr/item/TVP_1977_22_4_a17/