7 citations · 14 across the 14 of their papers we have counts for
31 papers
Wasserstein- distance and nonuniform Berry-Esseen bound for a supercritical branching process in a random environment
Hao Wu, Xiequan Fan, Zhiqiang Gao +1
Let be a supercritical branching process in an independent and identically distributed random environment. We establish an optimal convergence rate in the Was…
Sharp moderate and large deviations for sample quantiles
Xiequan Fan
In this article, we discuss the sharp moderate and large deviations between the quantiles of population and the quantiles of samples. Cramér type moderate deviations and Bahadur-Ra…
Rates of convergence in the central limit theorem for the elephant random walk with random step sizes
Jérôme Dedecker, Xiequan Fan, Haijuan Hu +1
In this paper, we consider a generalization of the elephant random walk model. Compared to the usual elephant random walk, an interesting feature of this model is that the step siz…
Cramér-type moderate deviations for Euler-Maruyama scheme for SDE
Xiequan Fan, Haijuan Hu, Lihu Xu
In this paper, we establish normalized and self-normalized Cramér-type moderate deviations for Euler-Maruyama scheme for SDE. As a consequence of our results, Berry-Esseen's bounds…
Comparison on the criticality parameters for two supercritical branching processes in random environments
Xiequan Fan, Haijuan Hu, Hao Wu +1
Let and be two supercritical branching processes in different random environments, with criticality parameters and respec…
Cramér's moderate deviations for martingales with applications
Xiequan Fan, Qi-Man Shao
Let be a sequence of martingale differences. Set and …