Limit distributions of distance to the nearest mutual ancestor
Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 614-623
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Let $\mu(t)$ be the number of particles in a Markov branching process at moment $t$ $(\mu(t)>0, \mu(0)=1)$ and let $t-\tau(t)$ be the moment of division of the last mutual ancestor of all particles existing at moment $t$. We investigate limit distributions of $\tau(t)$ in supercritical, subcritical and critical cases.
@article{TVP_1975_20_3_a10,
author = {A. M. Zubkov},
title = {Limit distributions of distance to the nearest mutual ancestor},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {614--623},
publisher = {mathdoc},
volume = {20},
number = {3},
year = {1975},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a10/}
}
A. M. Zubkov. Limit distributions of distance to the nearest mutual ancestor. Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 614-623. http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a10/