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Einstein's gravitational action and Fisher's information measure

✍ Scribed by L.P. Chimento; F. Pennini; A. Plastino

Book ID
108443088
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
90 KB
Volume
293
Category
Article
ISSN
0375-9601

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The connection between Fisher's ideas concerning information measures and nonextensive thermostatistics (NET) is investigated. The Cramer-Rao bound is generalized to a NET environment. A relationship between Fisher's information and Tsallis' entropy is established.

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We show that thermodynamic uncertainties (TU) preserve their form in passing from Boltzmann-Gibbs' statistics to Tsallis' one provided that we express these TU in terms of the appropriate variable conjugate to the temperature in a nonextensive context.