Asymptotic normality in Crump-Mode-Jagers processes: the lattice case
Probability
2018-05-30 v2
Abstract
Consider a supercritical Crump--Mode--Jagers process such that all births are at integer times (the lattice case). We show that under a certain condition on the intensity of the offspring process, the second-order fluctuations of the age distribution are asymptotically normal; the condition is essential and not just a technicality. This extends to populations counted by a random characteristic.
Keywords
Cite
@article{arxiv.1711.06514,
title = {Asymptotic normality in Crump-Mode-Jagers processes: the lattice case},
author = {Svante Janson},
journal= {arXiv preprint arXiv:1711.06514},
year = {2018}
}
Comments
This paper is now included in arXiv 1712.02648v2