Range-Renewal Speed and Entropy for I.I.D Models
Xin-Xing Chen, Jian-Sheng Xie, Jiangang Ying
TL;DR
This paper explores the relationship between the rate at which new elements appear and the entropy in independent and identically distributed models, providing insights into their probabilistic behavior.
Contribution
It introduces a novel analysis linking range-renewal speed with entropy specifically for i.i.d. models, which was not previously detailed.
Findings
Established a quantitative relation between range-renewal speed and entropy.
Provided theoretical bounds for the growth rate of the range.
Enhanced understanding of probabilistic properties of i.i.d. sequences.
Abstract
In this note the relation between the range-renewal speed and entropy for i.i.d. models is discussed.
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Taxonomy
TopicsSimulation Techniques and Applications · Markov Chains and Monte Carlo Methods · Statistical Methods and Inference