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Tsallis nonextensive thermostatistics and Fisher's information measure

โœ Scribed by A. Plastino; A.R. Plastino; H.G. Miller


Book ID
104341449
Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
457 KB
Volume
235
Category
Article
ISSN
0378-4371

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โœฆ Synopsis


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.


๐Ÿ“œ SIMILAR VOLUMES


NONEXTENSIVE THERMOSTATISTICS AND FRACTA
โœ TSALLIS, CONSTANTINO ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› World Scientific Publishing Company ๐ŸŒ English โš– 351 KB
Power-law distributions and Fisher's inf
โœ F Pennini; A Plastino ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 192 KB

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.

A lower bound for Fisher's information m
โœ A. Plastino; A.R. Plastino; H.G. Miller; F.C. Khanna ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 346 KB