# Limit theorems for the critical Galton-Watson processes with immigration stopped at zero

@inproceedings{Li2021LimitTF, title={Limit theorems for the critical Galton-Watson processes with immigration stopped at zero}, author={Doudou Li and Mei Zhang and Xianyu Zhang}, year={2021} }

In this paper, we consider a critical Galton-Watson branching process with immigration stopped at zero W. Some precise estimation on the generation function of the n-th population are obtained, and the tail probability of the life period of W is studied. Based on above results, two conditional limit theorems for W are established. Mathematics Subject Classifications (2010): 60J80; 60F10.

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