Backbone decomposition for continuous-state branching processes with immigration
Probability
2011-06-13 v1
Abstract
In the spirit of Duqesne and Winkel (2007) and Berestycki et al. (2011) we show that supercritical continuous-state branching process with a general branching mechanism and general immigration mechanism is equal in law to a continuous-time Galton Watson process with immigration with Poissonian dressing. The result also characterises the limiting backbone decomposition which is predictable from the work on consistent growth of Galton-Watson trees with immigration in Cao and Winkel (2010).
Keywords
Cite
@article{arxiv.1106.2123,
title = {Backbone decomposition for continuous-state branching processes with immigration},
author = {A. E. Kyprianou Y-X. Ren},
journal= {arXiv preprint arXiv:1106.2123},
year = {2011}
}
Comments
9 pages, 1 figure