Fisher information, Borges operators, and q-calculus

F. Pennini, A. Plastino and G.L. Ferri

Physica A: Statistical Mechanics and its Applications, 2008, vol. 387, issue 23, 5778-5785

Abstract: We discuss applying the increasingly popular q-calculus, or deformed calculus, so as to suitably generalize Fisher’s information measure and the Cramer–Rao inequality. A q-deformation can be attained in multiple ways, and we show that most of them do not constitute legitimate procedures. Within such a context, the only completely acceptable q-deformation is that ensuing from using the so-called Borges derivative [E.P. Borges, Physica A 340 (2004) 95].

Keywords: Classical statistical mechanics; Fluctuation phenomena; Ramdom process; Noise (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:387:y:2008:i:23:p:5778-5785

DOI: 10.1016/j.physa.2008.05.027

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