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

Dukkipati, Ambedkar and Murty, Narasimha M and Bhatnagar, Shalabh (2006) Nonextensive triangle equality and other properties of Tsallis relative-entropy minimization. In: Physica A-Statistical Mechanics And Its Applications, 361 (1). pp. 124-138.

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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-Leibier 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.

Item Type:	Journal Article
Publication:	Physica A-Statistical Mechanics And Its Applications
Publisher:	Elsavier Science
Additional Information:	Copyright of this article belongs to Elsavier Science.
Keywords:	ME methods;Tsallis entropy;Triangle equality.
Department/Centre:	Division of Electrical Sciences > Computer Science & Automation
Date Deposited:	02 Apr 2009 06:05
Last Modified:	19 Sep 2010 04:59
URI:	http://eprints.iisc.ac.in/id/eprint/17988

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