Deviations for Jumping Times of a Branching Process Indexed by a Poisson Process

Yanhua Zhang and Zhenlong Gao

Mathematical Problems in Engineering, 2019, vol. 2019, 1-7

Abstract:

Consider a continuous time process , where is a supercritical Galton–Watson process and is a Poisson process which is independent of . Let be the th jumping time of , we obtain that the typical rate of growth for is , where is the intensity of . Probabilities of deviations are estimated for three types of positive .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:6137926

DOI: 10.1155/2019/6137926

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