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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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|
|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 (Formerly, School of Automation)|
|Date Deposited:||02 Apr 2009 06:05|
|Last Modified:||19 Sep 2010 04:59|
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