We study populations consisting of individuals whose birth and death rates depend on both their age and the age-structure of the whole population. In particular, as the population size tends to infinity, we derive a law of large numbers and a central limit theorem for the empirical processes.
Publié le : 1990-01-14
Classification:
Age and age-structure dependent population processes,
law of large numbers,
central limit theorem,
60K35,
60F05,
60G20
@article{1176990950,
author = {Oelschlager, Karl},
title = {Limit Theorems for Age-Structured Populations},
journal = {Ann. Probab.},
volume = {18},
number = {4},
year = {1990},
pages = { 290-318},
language = {en},
url = {http://dml.mathdoc.fr/item/1176990950}
}
Oelschlager, Karl. Limit Theorems for Age-Structured Populations. Ann. Probab., Tome 18 (1990) no. 4, pp. 290-318. http://gdmltest.u-ga.fr/item/1176990950/