Tsallis, Rényi and nonextensive Gaussian entropy derived from the respective multinomial coefficients

Th. Oikonomou

Physica A: Statistical Mechanics and its Applications, 2007, vol. 386, issue 1, 119-134

Abstract: We explore the generalization of the ordinary multinomial coefficient, based on the deformed q-multiplication and q-division. Aim of this study is to construct the appropriate multinomial coefficients, from which one can obtain the Tsallis, Rényi and nonextensive Gaussian entropy, respectively. We show that for all three above entropies there are two possible ways to define the generalized multinomial coefficient. Its consequence is discussed.

Keywords: Generalized multinomial coefficient; Tsallis entropy; Rényi entropy; Nonextensive Gaussian entropy; Generalized factorial (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:386:y:2007:i:1:p:119-134

DOI: 10.1016/j.physa.2007.08.025

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