Implosion of a pure death process
Probability
2019-05-22 v1
Abstract
We study a pure death process. At each discrete time every individual dies or not independently of each other with a constant probability. We give examples showing that in a certain limit extinction happens along a path where one and only one individual is lost at a time. We also exhibit an example for which such a path goes from infinity to 0 in a finite time. This is what we call a process implosion.
Keywords
Cite
@article{arxiv.1810.10050,
title = {Implosion of a pure death process},
author = {Luiz Renato Fontes and Rinaldo B. Schinazi},
journal= {arXiv preprint arXiv:1810.10050},
year = {2019}
}