Asymptotic Behaviors for Critical Branching Processes with Immigration View Full Text


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Article Info

DATE

2019-04

AUTHORS

Dou Dou Li, Mei Zhang

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. More... »

PAGES

537-549

References to SciGraph publications

  • 2016-08. Large deviation for supercritical branching processes with immigration in ACTA MATHEMATICA SINICA, ENGLISH SERIES
  • 1972. Branching Processes in NONE
  • 1982-09. Large deviations for branching processes with immigration in MATHEMATICAL NOTES
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10114-019-7441-6

    DOI

    http://dx.doi.org/10.1007/s10114-019-7441-6

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