https://doi.org/10.1140/epjb/e20020100
Nonextensive statistics and incomplete information
Institut Supérieur des Matériaux du Mans, 44, Av.
Bartholdi, 72000 Le Mans, France
Corresponding author: a awang@ismans.univ-lemans.fr
Received:
29
October
2001
Revised:
30
January
2002
Published online: 15 April 2002
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.
PACS: 02.50.-r – Probability theory, stochastic processes, and statistics / 05.20.-y – Classical statistical / 05.30.-d – Quantum statistical mechanics / 05.70.-a – Thermodynamics
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2002
