5 citations · 8 across the 8 of their papers we have counts for
8 papers · 1 filter
Universal Exponent-Two Degree Laws in Range-Renewal Networks
Jiansheng Xie, Yechi Zhou
Let an infinite sequence of independent and identically distributed random variables over a countable alphabet generate a graph by joining consecutive symbols and suppressing repea…
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…
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…
Bounding Ornstein-Uhlenbeck Processes and Alikes
Jian-Sheng Xie
In this note we consider SDEs of the type under the assumptions that 's eigenvalues are all of positive real par…
Bounding the Solutions to Some SDEs via Ergodic Theory
Jian-Sheng Xie
In this note we consider autonomous SDEs admitting smooth invariant measures. We present a method in finding (almost everywhere) good bounds for fo…
Range-Renewal Structure of I.I.D. Samplings
Li-Hong Wang, Jian-Sheng Xie
In this note the range-renewal structure of general independent and identically distributed samplings is discussed, which is a natural extension of the result in Chen et al (arXiv:…
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.
Range-Renewal Processes: SLLN, Power Law and Beyonds
Xin-Xing Chen, Jian-Sheng Xie, Jiangang Ying
Given samples of a regular discrete distribution , we prove in this article first a serial of SLLNs results (of Dvoretzky and Erdös' type) which implies a typical power law…