Teoriâ veroâtnostej i ee primeneniâ, Tome 20 (1975) no. 3, pp. 614-623
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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/
@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},
year = {1975},
volume = {20},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a10/}
}
TY - JOUR
AU - A. M. Zubkov
TI - Limit distributions of distance to the nearest mutual ancestor
JO - Teoriâ veroâtnostej i ee primeneniâ
PY - 1975
SP - 614
EP - 623
VL - 20
IS - 3
UR - http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a10/
LA - ru
ID - TVP_1975_20_3_a10
ER -
%0 Journal Article
%A A. M. Zubkov
%T Limit distributions of distance to the nearest mutual ancestor
%J Teoriâ veroâtnostej i ee primeneniâ
%D 1975
%P 614-623
%V 20
%N 3
%U http://geodesic.mathdoc.fr/item/TVP_1975_20_3_a10/
%G ru
%F TVP_1975_20_3_a10
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.