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Fisher information, Borges operators, and q-calculus

Author

Listed:
  • Pennini, F.
  • Plastino, A.
  • Ferri, G.L.

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].

Suggested Citation

  • Pennini, F. & Plastino, A. & Ferri, G.L., 2008. "Fisher information, Borges operators, and q-calculus," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(23), pages 5778-5785.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:23:p:5778-5785
    DOI: 10.1016/j.physa.2008.05.027
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