3 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 be the number of distinct values of the 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…
math.PR2013
Range-Renewal Speed and Entropy for I.I.D Models
Xin-Xing Chen, Jian-Sheng Xie, Jiangang Ying
In this note the relation between the range-renewal speed and entropy for i.i.d. models is discussed.