A limit theorem of two-type Galton-Watson branching processes with immigration

作者:Ma Chunhua*
来源:Statistics & Probability Letters, 2009, 79(15): 1710-1716.
DOI:10.1016/j.spl.2009.04.008

摘要

We provide a simple set of sufficient conditions for the weak convergence of two-type Galton-Watson branching processes with immigration to two-dimensional, continuous-time. continuous-state branching processes with immigration, which generalizes the limit result of Li [Li, Z.H., 2006a. A limit theorem of discrete Galton-Watson branching processes with immigration. J. Appl. Probab. 43, 289-295].