Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization

Ambedkar Dukkipati, M. Narasimha Murty and Shalabh Bhatnagar

Physica A: Statistical Mechanics and its Applications, 2006, vol. 361, issue 1, 124-138

Abstract: Kullback–Leibler relative-entropy has unique properties in cases involving distributions resulting from relative-entropy minimization. Tsallis relative-entropy is a one-parameter generalization of Kullback–Leibler relative-entropy in the nonextensive thermostatistics. In this paper, we present the properties of Tsallis relative-entropy minimization and present some differences with the classical case. In the representation of such a minimum relative-entropy distribution, we highlight the use of the q-product, an operator that has been recently introduced to derive the mathematical structure behind the Tsallis statistics. One of our main results is the generalization of triangle equality of relative-entropy minimization to the nonextensive case.

Keywords: ME methods; Tsallis entropy; Triangle equality (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:361:y:2006:i:1:p:124-138

DOI: 10.1016/j.physa.2005.06.072

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