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Ou, Congjie; El Kaabouchi, Aziz; Nivanen, Laurent; Chen, Jincan; Tsobnang, Franois; Le Méhauté, Alain; Wang, Qiuping A.

Maximizable informational entropy as a measure of probabilistic uncertainty. (English) Zbl 1203.82004

Int. J. Mod. Phys. B 24, No. 17, 3461-3468 (2010).
Summary: We consider a recently proposed entropy \(S\) defined by a variational relationship \(dI = d\bar x - \overline{dx}\) as a measure of uncertainty of random variable \(x\). The entropy defined in this way underlies an extension of virtual work principle \(\overline{dx} = 0\) leading to the maximum entropy \(d(I - \bar x)\). This paper presents an analytical investigation of this maximizable entropy for several distributions such as the stretched exponential distribution, \(\kappa \)-exponential distribution, and Cauchy distribution.

Cited in 3 Documents

MSC:

82B03 Foundations of equilibrium statistical mechanics

Keywords:

uncertainty; varentropy; virtual work principle; probability distribution
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References:

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