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Article Dans Une Revue Scientia Sinica Mathematica Année : 2021

Berry-Esseen's bound for a supercritical branching process with immigration in a random environment

Résumé

We consider a supercritical branching process withimmigration in an independent and identically distributed random environment. Based on its relations with branching processes(without immigration) in random environments and by using the associated random walks, we establish the Berry-Esseen bound in the central limit theorem for log Zn under suitable moment conditions.

Dates et versions

hal-02487893 , version 1 (21-02-2020)

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Wang Yanqing, Liu Quansheng. Berry-Esseen's bound for a supercritical branching process with immigration in a random environment. Scientia Sinica Mathematica, 2021, 51 (5), pp.751-762. ⟨10.1360/SSM-2019-0206⟩. ⟨hal-02487893⟩
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