The relationship between some probability distributions and their invariant
property is discussed. A measure I of uncertainty (informational entropy) of
the probability distribution p(x) is defined in a variational way which makes
it possible to derive three entropy forms directly from the distribution laws
widely observed in nature without postulating a priori the entropy properties
such as additivity and extensivity.
%0 Generic
%1 citeulike:1455930
%A Wang, Qiuping A.
%D 2007
%K entropy information measure uncertainty
%T Some invariant probability and entropy as a measure of uncertainty
%U http://arxiv.org/abs/cond-mat/0612076v2
%X The relationship between some probability distributions and their invariant
property is discussed. A measure I of uncertainty (informational entropy) of
the probability distribution p(x) is defined in a variational way which makes
it possible to derive three entropy forms directly from the distribution laws
widely observed in nature without postulating a priori the entropy properties
such as additivity and extensivity.
@misc{citeulike:1455930,
abstract = {The relationship between some probability distributions and their invariant
property is discussed. A measure I of uncertainty (informational entropy) of
the probability distribution p(x) is defined in a variational way which makes
it possible to derive three entropy forms directly from the distribution laws
widely observed in nature without postulating a priori the entropy properties
such as additivity and extensivity.},
added-at = {2007-08-18T13:22:24.000+0200},
author = {Wang, Qiuping A.},
biburl = {https://www.bibsonomy.org/bibtex/26464c42bc7304b1932b072e1e4cd538c/a_olympia},
citeulike-article-id = {1455930},
description = {citeulike},
eprint = {cond-mat/0612076v2},
interhash = {ea34a83f04e303136a10954f7aa1812a},
intrahash = {6464c42bc7304b1932b072e1e4cd538c},
keywords = {entropy information measure uncertainty},
month = Apr,
priority = {2},
timestamp = {2007-08-18T13:22:25.000+0200},
title = {Some invariant probability and entropy as a measure of uncertainty},
url = {http://arxiv.org/abs/cond-mat/0612076v2},
year = 2007
}