Unique additive information measures—Boltzmann–Gibbs–Shannon, Fisher and beyond

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.

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Year of publication:	2006
Authors:	Ván, P.
Published in:	Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 365.2006, 1, p. 28-33
Publisher:	Elsevier
Subject:	Fisher information \| Non-extensive statistics \| Additivity \| Schrödinger–Madelung equation

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011057662