Nonextensive statistics and incomplete information |
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| Authors: | Q.A. Wang |
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| Affiliation: | (1) Institut Supérieur des Matériaux du Mans, 44, Av. Bartholdi, 72000 Le Mans, France, FR |
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| Abstract: | We comment on some open questions and theoretical peculiarities in Tsallis nonextensive statistical mechanics. It is shown that the theoretical basis of the successful Tsallis' generalized exponential distribution shows some worrying properties with the conventional normalization and the escort probability. These theoretical difficulties may be avoided by introducing an so called incomplete normalization allowing to deduce Tsallis' generalized distribution in a more convincing and consistent way. Received 29 October 2001 and Received in final form 30 January 2002 |
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| Keywords: | PACS. 02.50.-r Probability theory, stochastic processes, and statistics – 05.20.-y Classical statistical mechanics – 05.30.-d Quantum statistical mechanics – 05.70.-a Thermodynamics |
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