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Pré-Publication, Document De Travail Année : 2007

Some invariant probability and entropy as a measure of uncertainty

Résumé

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.
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Dates et versions

hal-00117452 , version 1 (01-12-2006)
hal-00117452 , version 2 (06-04-2007)
hal-00117452 , version 3 (24-08-2007)
hal-00117452 , version 4 (09-01-2008)

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Citer

Qiuping A. Wang. Some invariant probability and entropy as a measure of uncertainty. 2007. ⟨hal-00117452v2⟩
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