Rènyi entropies and Fisher informations as measures of nonextensivity in a Tsallis setting

F. Pennini, A.R. Plastino and A. Plastino

Physica A: Statistical Mechanics and its Applications, 1998, vol. 258, issue 3, 446-457

Abstract: We study nonextensive statistical scenarios à la Tsallis with reference to Fisher’s information and Rènyi’s entropy. A new way of evaluating Tsallis’ generalized expectation values is examined within such a context, and is shown to lead to a much better Cramer–Rao bound than the customary procedure. A connection between the information measures of Fisher’s and Rènyi’s is found. We show that Fisher’s measure for translation families remains additive even in a non-extensive Tsallis setting.

Keywords: Rènyi and Tsallis entropies; Fisher information; Nonextensivity (search for similar items in EconPapers)
Date: 1998
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:258:y:1998:i:3:p:446-457

DOI: 10.1016/S0378-4371(98)00272-6

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