On Tsallis extropy with an application to pattern recognition

Narayanaswamy Balakrishnan, Francesco Buono and Maria Longobardi

Statistics & Probability Letters, 2022, vol. 180, issue C

Abstract: Recently, a new measure of information called extropy has been introduced by Lad, Sanfilippo and Agrò as the dual version of Shannon entropy. In the literature, Tsallis introduced a measure for a discrete random variable, named Tsallis entropy, as a generalization of Boltzmann–Gibbs statistics. In this work, a new measure of discrimination, called Tsallis extropy, is introduced and some of its properties are then discussed. The relation between Tsallis extropy and entropy is given and some bounds are also presented. Finally, an application of this extropy to pattern recognition is demonstrated.

Keywords: Measures of information; Shannon entropy; Tsallis entropy; Extropy; Pattern recognition (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (3)

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DOI: 10.1016/j.spl.2021.109241

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