Nonextensive statistics and incomplete information

Details Nonextensive statistics and incomplete information Nonextensive statistics and incomplete information

2001-07-03

arxiv.org/abs/cond-mat/0107065v5

Euro. Phys. J. B, 26(2002)357-368

Physics

Condensed Matter

Statistical Mechanics

21 pages, RevTeX, no figures, published version to appear in Euro. J. Phys. B (2002)

Scientific paper

10.1140/epjb/e20020100

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.

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