Generalized measurement of uncertainty and the maximizable entropy
Statistical Mechanics
2008-10-27 v1
Abstract
For a random variable we can define a variational relationship with practical physical meaning as dI=dbar(x)-bar(dx), where I is called as uncertainty measurement. With the help of a generalized definition of expectation, bar(x)=sum_(i)g(p_i)x_i, and the expression of dI, we can find the concrete forms of the maximizable entropies for any given probability distribution function, where g(p_i) may have different forms for different statistics which includes the extensive and nonextensive statistics.
Keywords
Cite
@article{arxiv.0810.4345,
title = {Generalized measurement of uncertainty and the maximizable entropy},
author = {Congjie Ou and Aziz El Kaabouchi and Alain Le Mehaute and Qiuping A. Wang and Jincan Chen},
journal= {arXiv preprint arXiv:0810.4345},
year = {2008}
}
Comments
11 pages