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- Title
Asymptotic Behaviors for Critical Branching Processes with Immigration.
- Authors
Li, Dou Dou; Zhang, Mei
- Abstract
In this paper, we investigate the asymptotic behaviors of the critical branching process with immigration {Zn, n ≥ 0}. First we get some estimation for the probability generating function of Zn. Based on it, we get a large deviation for Zn+1/Zn. Lower and upper deviations for Zn are also studied. As a by-product, an upper deviation for max1≤i≤nZi is obtained.
- Subjects
BRANCHING processes; LARGE deviations (Mathematics); GENERATING functions; EMIGRATION &; immigration; BEHAVIOR; PROBABILITY theory; DEVIATION (Statistics)
- Publication
Acta Mathematica Sinica, 2019, Vol 35, Issue 4, p537
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-019-7441-6