Zhi-Qiang Gao

collaborators

2 papers

math.PR2023

Wasserstein- $1$ distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment

Hao Wu, Xiequan Fan, Zhiqiang Gao +1

Let $(Z_{n})_{n \geq 0}$ be a supercritical branching process in an independent and identically distributed random environment. We establish an optimal convergence rate in the Was…

math.PR2021

Cramér moderate deviations for a supercritical Galton-Watson process

Paul Doukhan, Xiequan Fan, Zhi-Qiang Gao

Let $(Z_{n})_{n \geq 0}$ be a supercritical Galton-Watson process. The Lotka-Nagaev estimator $Z_{n + 1} / Z_{n}$ is a common estimator for the offspring mean.In this paper, we establish som…

Wasserstein-1 distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment

Cramér moderate deviations for a supercritical Galton-Watson process

Wasserstein- $1$ distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment