The age distribution for the supercritical age dependent branching processes is shown to converge on the set of nonextinction to a particular distribution function if the offspring distribution $\{p_j\}$ satisfies $1 < \Sigma jp_j < \infty$.
Publié le : 1982-02-14
Classification:
Age distribution,
branching process,
supercritical,
60J80,
60J85
@article{1176993930,
author = {Kuczek, Thomas},
title = {On the Convergence of the Empiric Age Distribution for One Dimensional Supercritical Age Dependent Branching Processes},
journal = {Ann. Probab.},
volume = {10},
number = {4},
year = {1982},
pages = { 252-258},
language = {en},
url = {http://dml.mathdoc.fr/item/1176993930}
}
Kuczek, Thomas. On the Convergence of the Empiric Age Distribution for One Dimensional Supercritical Age Dependent Branching Processes. Ann. Probab., Tome 10 (1982) no. 4, pp. 252-258. http://gdmltest.u-ga.fr/item/1176993930/