Article ID Journal Published Year Pages File Type
1151777 Statistics & Probability Letters 2015 6 Pages PDF
Abstract

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

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Physical Sciences and Engineering Mathematics Statistics and Probability
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Large deviations for a Poisson random indexed branching process
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