Naudts-like duality and the extreme Fisher information principle

Abstract

We show that using the most parsimonious version of Frieden and Soffer's extreme information principle (EPI) with a Fisher measure constructed with escort probabilities, the concomitant solutions obey a type of Naudts' duality for nonextensive ensembles. We also determine in closed form the general (normalized) probability distribution that minimizes Fisher's information.

4 pages, no figures

References in corpus (3)

• The Frieden-Soffer Extreme Physical Information Principle in a Non-extensive Setting
• Cosmological Applications of the Frieden-Soffer Nonextensive Information Transfer Game
• Dual description of nonextensive ensembles

Cited by in corpus (5)

• Some properties of generalized Fisher information in the context of nonextensive thermostatistics
• On Generalized Stam Inequalities and Fisher-Rényi Complexity Measures
• On a (β,q)-generalized Fisher information and inequalities involving q-Gaussian distributions
• Information and complexity measures in the interface of a metal and a superconductor
• Duality and spatial inhomogeneity