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

Haotian Chen and Yong Zhang

Communications in Statistics - Theory and Methods, 2021, vol. 50, issue 2, 432-445

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.

Date: 2021
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DOI: 10.1080/03610926.2019.1635703

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