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Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration

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  • Haotian Chen
  • Yong Zhang

Abstract

In this paper, we consider the moderate deviation of the nearly unstable sub-critical Galton-Waston process with immigration for the centered total population arising. We discuss the main influence factors for the form of moderate deviation in different stochastic processes. Moreover, we compute the exact rate function in every different situation of MDP.

Suggested Citation

  • Haotian Chen & Yong Zhang, 2021. "Moderate deviations for the total population arising from a nearly unstable sub-critical Galton-Watson process with immigration," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(2), pages 432-445, January.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:2:p:432-445
    DOI: 10.1080/03610926.2019.1635703
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