English

Nonextensive statistics and incomplete information

Statistical Mechanics 2009-11-07 v5

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.

Keywords

Cite

@article{arxiv.cond-mat/0107065,
  title  = {Nonextensive statistics and incomplete information},
  author = {Qiuping A. Wang},
  journal= {arXiv preprint arXiv:cond-mat/0107065},
  year   = {2009}
}

Comments

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