Large deviations for a Poisson random indexed branching process

Zhenlong Gao and Weigang Wang

Statistics & Probability Letters, 2015, vol. 105, issue C, 143-148

Abstract: Consider a Galton–Watson process {Zn} and an independent Poisson process {Nt}, the continuous time process {ZNt} is a Poisson random indexed branching process. We show the large deviation results for P(ZNt≤ect) and P(ZNt≥ect).

Keywords: Large deviation principle; Random indexed branching process; Harmonic moments (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1016/j.spl.2015.06.013

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