Asymptotic normality in Crump-Mode-Jagers processes: the lattice case
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2017
- DOI:
- 10.48550/arXiv.1711.06514
- arXiv:
- arXiv:1711.06514
- Bibcode:
- 2017arXiv171106514J
- Keywords:
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- Mathematics - Probability;
- 60J80;
- 60F05
- E-Print:
- This paper is now included in arXiv 1712.02648v2