Branching processes in random environment with immigration stopped at zero
Probability
2019-05-10 v1
Abstract
A critical branching process with immigration which evolve in a random environment is considered. Assuming that immigration is not allowed when there are no individuals in the aboriginal population we investigate the tail distribution of the so-called life period of the process, i.e., the length of the time interval between the moment when the process is initiated by a positive number of particles and the moment when there are no individuals in the population for the first time.
Keywords
Cite
@article{arxiv.1905.03535,
title = {Branching processes in random environment with immigration stopped at zero},
author = {Elena Dyakonova and Doudou Li and Vladimir Vatutin and Mei Zhang},
journal= {arXiv preprint arXiv:1905.03535},
year = {2019}
}
Comments
13 pages