A fluctuation limit theorem for a critical branching process with dependent immigration

Hongsong Guo and Mei Zhang

Statistics & Probability Letters, 2014, vol. 94, issue C, 29-38

Abstract: We consider a critical branching process with immigration controlled by a sequence of random variables {ξk,k≥1}, and prove a fluctuation limit theorem when {ξk} is (N−1)-dependent, improving the result in previous literatures.

Keywords: Branching processes; Immigration; Fluctuation limit theorem (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2014.06.026

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