TY - JOUR
T1 - Backbone decomposition for continuous-state branching processes with immigration
AU - Kyprianou, Andreas E
AU - Ren, Y X
PY - 2012/1
Y1 - 2012/1
N2 - In the spirit of Duquesne 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 equivalent in law to a continuous-time Galton-Watson process with immigration (with Poissonian dressing). The result also helps to characterise the limiting backbone decomposition which is predictable from the work on consistent growth of Galton-Watson trees with immigration in Cao and Winkel (2010).
AB - In the spirit of Duquesne 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 equivalent in law to a continuous-time Galton-Watson process with immigration (with Poissonian dressing). The result also helps to characterise the limiting backbone decomposition which is predictable from the work on consistent growth of Galton-Watson trees with immigration in Cao and Winkel (2010).
UR - http://www.scopus.com/inward/record.url?scp=80054118410&partnerID=8YFLogxK
UR - http://dx.doi.org/10.1016/j.spl.2011.09.013
U2 - 10.1016/j.spl.2011.09.013
DO - 10.1016/j.spl.2011.09.013
M3 - Article
SN - 0167-7152
VL - 82
SP - 139
EP - 144
JO - Statistics & Probability Letters
JF - Statistics & Probability Letters
IS - 1
ER -