A statistical measure of complexity with nonextensive entropy

Takuya Yamano

Physica A: Statistical Mechanics and its Applications, 2004, vol. 340, issue 1, 131-137

Abstract: A statistical measure of complexity utilising the concept of entropy or information is proposed. Our way in this study is to use a nonextensive entropy instead of an extensive (additive) Shannon entropy in the definition, but can be characterised as a difference between the qth-order Rényi entropy and the second one. Furthermore, we devise a conditional, joint, and mutual complexity measure as a coherent possibility. The behavior of the measure for the logistic map shows that it is more sensitive to nonextensivity at the transition point ac∼3.8284… than any other values when 0Keywords: Complexity measure; Nonextensive entropy; Information theory (search for similar items in EconPapers)
Date: 2004
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:340:y:2004:i:1:p:131-137

DOI: 10.1016/j.physa.2004.03.087

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