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

Chunhua Ma

Statistics & Probability Letters, 2009, vol. 79, issue 15, 1710-1716

Abstract: 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].

Date: 2009
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