Small value probabilities for supercritical branching processes with immigration
Probability
2014-02-06 v2
Abstract
We consider a supercritical Galton-Watson branching process with immigration. It is well known that under suitable conditions on the offspring and immigration distributions, there is a finite, strictly positive limit for the normalized population size. Small value probabilities for are obtained. Precise effects of the balance between offspring and immigration distributions are characterized.
Keywords
Cite
@article{arxiv.1301.6840,
title = {Small value probabilities for supercritical branching processes with immigration},
author = {Weijuan Chu and Wenbo V. Li and Yan-Xia Ren},
journal= {arXiv preprint arXiv:1301.6840},
year = {2014}
}
Comments
Published in at http://dx.doi.org/10.3150/12-BEJ490 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)