Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond
Statistical Mechanics
2009-11-10 v4
Abstract
It is proved that the only additive and isotropic information measure that can depend on the probability distribution and also on its first derivative is a linear combination of the Boltzmann-Gibbs-Shannon and Fisher information measures. Power law equilibrium distributions are found as a result of the interaction of the two terms. The case of second order derivative dependence is investigated and a corresponding additive information measure is given.
Keywords
Cite
@article{arxiv.cond-mat/0409255,
title = {Unique additive information measures - Boltzmann-Gibbs-Shannon, Fisher and beyond},
author = {P. Ván},
journal= {arXiv preprint arXiv:cond-mat/0409255},
year = {2009}
}
Comments
10 pages, 1 figures, shortened