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

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  • Ma, Chunhua

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].

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  • Ma, Chunhua, 2009. "A limit theorem of two-type Galton-Watson branching processes with immigration," Statistics & Probability Letters, Elsevier, vol. 79(15), pages 1710-1716, August.
    • Handle: RePEc:eee:stapro:v:79:y:2009:i:15:p:1710-1716
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    Cited by:

    1. Shukai Chen, 2023. "On the Exponential Ergodicity of (2+2)-Affine Processes in Total Variation Distances," Journal of Theoretical Probability, Springer, vol. 36(1), pages 315-330, March.

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