Misc,

Some invariant probability and entropy as a measure of uncertainty

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(April 2007)

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.

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