English

Probability distribution and entropy as a measure of uncertainty

Statistical Mechanics 2020-10-28 v4

Abstract

The relationship between three probability distributions and their maximizable entropy forms is discussed without postulating entropy property. For this purpose, the entropy I is defined as a measure of uncertainty of the probability distribution of a random variable x by a variational relationship, a definition underlying the maximization of entropy for corresponding distribution.

Keywords

Cite

@article{arxiv.cond-mat/0612076,
  title  = {Probability distribution and entropy as a measure of uncertainty},
  author = {Qiuping A. Wang},
  journal= {arXiv preprint arXiv:cond-mat/0612076},
  year   = {2020}
}

Comments

11 pages. To be published in J. Physics A : Math. Theor. (2008)