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Title: The generalised maximum α entropy principle

Authors: Manije Sanei Tabass; G.R. Mohtashami Borzadaran

Addresses: Department of Statistics, School of Mathematical Sciences, University of Sistan and Baluchestan, Zahedan, Iran ' Department of Statistics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran

Abstract: Generalisations of maximum entropy principle (MEP) and minimum discrimination information principle (MDIP) are described by Kapur and Kesavan (1989) . In this paper, we used generalised entropies and replaced Shannon entropy with Tsallis entropy when α = 2 . The generalisation has been achieved by the entropy maximisation postulate and examining its consequences . The inverse principles which are inherent in the maximum α entropy and minimum discrimination α entropy are made in the new methodology.

Keywords: Shannon entropy; Tsallis entropy; Tsallis divergence; generalised maximum entropy principle; GMEP; maximum entropy principle; MEP; minimum discrimination.

DOI: 10.1504/IJMOR.2018.088583

International Journal of Mathematics in Operational Research, 2018 Vol.12 No.1, pp.129 - 137

Available online: 21 Nov 2017 *

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