Inferring an optimal Fisher measure

S.P. Flego, A. Plastino and A.R. Plastino

Physica A: Statistical Mechanics and its Applications, 2011, vol. 390, issue 23, 4702-4712

Abstract: It is well known that a suggestive relation exists that links the Schrödinger equation (SE) to the information-optimizing principle based on the Fisher information measure (FIM). We explore here an approach that will allow one to infer the optimal FIM compatible with a given amount of prior information without explicitly solving first the associated SE. This technique is based on the virial theorem and it provides analytic solutions for the physically relevant FIM, that which is minimal subject to the constraints posed by the prior information.

Keywords: Information theory; Fisher information measure; Legendre transform; Virial theorem (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:390:y:2011:i:23:p:4702-4712

DOI: 10.1016/j.physa.2011.06.050

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