Uniform Cramér moderate deviations and Berry-Esseen bounds for a supercritical branching process in a random environment

Xiequan Fan, Haijuan Hu, Quansheng Liu

Let $\{Z_n,n\ge 0\}$ be a supercritical branching process in an independent and identically distributed random environment. We prove Cramér moderate deviations and Berry-Esseen b…