Physical Review E 82, 041110.
ISSN/ISBN: Not available at this time. DOI: 10.1103/PhysRevE.82.041110
Abstract: Nonextensive statistics, characterized by a nonextensive parameter q, is a promising and practically useful generalization of the Boltzmann statistics to describe power-law behaviors from physical and social observations. We here explore the unevenness of the first-digit distribution of nonextensive statistics analytically and numerically. We find that the first-digit distribution follows Benford’s law and fluctuates slightly in a periodical manner with respect to the logarithm of the temperature. The fluctuation decreases when q increases, and the result converges to Benford’s law exactly as q approaches 2. The relevant regularities between nonextensive statistics and Benford’s law are also presented and discussed.
Bibtex:
@article{,
title={First-digit law in nonextensive statistics},
author={Shao, Lijing and Ma, Bo-Qiang},
journal={Physical Review E},
volume={82},
number={4},
pages={041110},
year={2010},
publisher={APS},
DOI={10.1103/PhysRevE.82.041110},
}
Reference Type: Journal Article
Subject Area(s): Physics