On the stability of analytic entropic forms

Evaldo M.F. Curado and Fernando D. Nobre

Physica A: Statistical Mechanics and its Applications, 2004, vol. 335, issue 1, 94-106

Abstract: The stability against small perturbations on the probability distributions (also called experimental robustness) of analytic entropic forms is analyzed. Entropies S[p], associated with a given set of probabilities {pi}, that can be written in the simple form S[p]=∑i=1Wr(pi), are shown to be robust, if r(pi) is an analytic function of the pi's. The same property holds for entropies Σ(S[p]) that are monotonic and analytic functions of S[p]. The Tsallis entropy Sq[p] falls in the first class of entropies, whenever the entropic index q is an integer greater than 1. A new kind of entropy, that follows such requirements, is discussed.

Keywords: Entropy stability; Nonextensive statistical mechanics (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:335:y:2004:i:1:p:94-106

DOI: 10.1016/j.physa.2003.12.026

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