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In this paper, we consider a critical Galton–Watson branching process with immigration stopped at zero W. Some precise estimation on the probability generating 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. © 2023, Springer-Verlag GmbH Germany & The Editorial Office of AMS.
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Acta Mathematica Sinica, English Series
ISSN: 1439-8516
Year: 2023
Issue: 2
Volume: 40
Page: 435-450
0 . 7 0 0
JCR@2022
ESI Discipline: MATHEMATICS;
ESI HC Threshold:9
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
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Chinese Cited Count:
30 Days PV: 1
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