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arXiv · 1711.06514

Asymptotic normality in Crump-Mode-Jagers processes: the lattice case

Svante Janson
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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.

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Svante Janson. 2018-05-29. Asymptotic normality in Crump-Mode-Jagers processes: the lattice case. https://arxiv.org/abs/1711.06514

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