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Naudts-like duality and the extreme Fisher information principle

L. P. Chimento·F. Pennini·A. Plastino
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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.

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L. P. Chimento, F. Pennini, A. Plastino. 2000-12-19. Naudts-like duality and the extreme Fisher information principle. https://doi.org/10.1103/physreve.62.7462

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