Naudts-like duality and the extreme Fisher information principle

Details Naudts-like duality and the extreme Fisher information principle Naudts-like duality and the extreme Fisher information principle

2000-04-29

arxiv.org/abs/cond-mat/0005006v2

Physical Review E 62 5, 7462 (2000)

Physics

Condensed Matter

Statistical Mechanics

4 pages, no figures

Scientific paper

10.1103/PhysRevE.62.7462

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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