First-Digit Law in Nonextensive Statistics
Abstract
Nonextensive statistics, characterized by a nonextensive parameter , 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 increases, and the result converges to Benford's law exactly as approaches 2. The relevant regularities between nonextensive statistics and Benford's law are also presented and discussed.
Cite
@article{arxiv.1010.2699,
title = {First-Digit Law in Nonextensive Statistics},
author = {Lijing Shao and Bo-Qiang Ma},
journal= {arXiv preprint arXiv:1010.2699},
year = {2011}
}
Comments
11 pages, 3 figures, published in Phys. Rev. E