Large and moderate deviations for a class of renewal random indexed branching process

Zhenlong Gao and Yanhua Zhang

Statistics & Probability Letters, 2015, vol. 103, issue C, 1-5

Abstract: Let {Zn,n=0,1,2,…} be a supercritical branching process, {Nt,t≥0} be a renewal process independent of {Zn,n=0,1,2,…}, then {ZNt,t≥0} is a supercritical renewal random indexed branching process. Assume that {Nt,t≥0} has a Erlang(2) renewal distribution, we show large and moderate deviation principles for logZNt.

Keywords: Large deviation principle; Moderate deviation principle; Random indexed branching process (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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DOI: 10.1016/j.spl.2015.04.002

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