Subjects: Mathematics >> Statistics and Probability submitted time 2022-05-12
Abstract:
Let Zn be a supercritical branching process in an independent and identically distributed random environment. We establish nonuniform Berry-Esseen bounds for the process Zn, which refine the Berry-Esseen bound of Grama et al. [Stochastic,Process.,Appl.,127(4),1255-1281,2017]. We also discuss an application of our result to constructing confidence interval for the criticality parameter.
Peer Review Status:Awaiting Review