7 citations · 12 across the 4 of their papers we have counts for
4 papers
On Wasserstein-1 distance in the central limit theorem for elephant random walk
Xiaohui Ma, Mohamed El Machkouri, Xiequan Fan
Recently, the elephant random walk has attracted a lot of attentions. A wide range of literature is available for the asymptotic behavior of the process, such as the central limit…
On the Wassertein distance for a martingale central limit theorem
Xiequan Fan, Xiaohui Ma
We prove an upper bound on the Wassertein distance between normalized martingales and the standard normal random variable, which extends a result of Röllin [Statist. Probabil. Lett…
Cramér moderate deviations for the elephant random walk
Xiequan Fan, Haijuan Hu, Xiaohui Ma
We establish some limit theorems for one-dimensional elephant random walk, including Berry-Esseen bounds, Cramér moderate deviations and local limit theorems. These limit theorems…
A Berry-Esseen bound of order for martingales
Songqi Wu, Xiaohui Ma, Hailin Sang +1
Renz (Ann. Probab. 1996) has established a rate of convergence in the central limit theorem for martingales with some restrictive conditions. In the present paper a mo…