Generalized statistical complexity measures: Geometrical and analytical properties

M.T. Martin, A. Plastino and O.A. Rosso

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 439-462

Abstract: We discuss bounds on the values adopted by the generalized statistical complexity measures [M.T. Martin et al., Phys. Lett. A 311 (2003) 126; P.W. Lamberti et al., Physica A 334 (2004) 119] introduced by López Ruiz et al. [Phys. Lett. A 209 (1995) 321] and Shiner et al. [Phys. Rev. E 59 (1999) 1459]. Several new theorems are proved and illustrated with reference to the celebrated logistic map.

Keywords: Statistical complexity; Entropy; Disequilibrium; Distances in probability space; Dynamical systems (search for similar items in EconPapers)
Date: 2006
References: View complete reference list from CitEc
Citations: View citations in EconPapers (49)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:439-462

DOI: 10.1016/j.physa.2005.11.053

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