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Author:

Li, D.D. (Li, D.D..) | Zhang, M. (Zhang, M..) | Zhang, X.Y. (Zhang, X.Y..)

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Scopus SCIE

Abstract:

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.

Keyword:

60F10 immigration life period 60J80 Branching limit theorems critical

Author Community:

  • [ 1 ] [Li D.D.]College of Statistics and Data Science, Faculty of Science, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhang M.]Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China
  • [ 3 ] [Zhang X.Y.]Laboratory of Mathematics and Complex Systems (Ministry of Education), School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, China

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Source :

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

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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