Small value probabilities for supercritical branching processes with immigration
arXiv:1301.6840 · doi:10.3150/12-BEJ490
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.
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)