Xin-Xing Chen

collaborators

2 papers

math.PR2022

CLT, MDP and LDP for Range-Renewals of I.I.D.Samplings from an Infinite Discrete Distribution

Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao

Let $R_{n}$ be the number of distinct values of the $n$ simple samples from an infinite discrete distribution. In 1960 Bahadure proved $\displaystyle \lim_{n\to \infty} \frac{R_n}{\E…

math.PR2016

Average Entropy of the Ranges for Simple Random Walks on Discrete Groups

Xin-Xing Chen, Jian-Sheng Xie, Min-Zhi Zhao

Inspired by Benjamini et al (Ann. Inst. H. Poincaré Probab. Stat. 2010) and Windisch (Electron. J. Probab. 2010), we consider the entropy of the random walk range formed by a simpl…