On Cumulative Tsallis Entropy and Its Dynamic Past Version

Mohamed Said Mohamed ()
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Mohamed Said Mohamed: Ain Shams University

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1903-1917

Abstract: Abstract Cumulative Tsallis entropy and its residual have developed by many others, and they proposed alternative (second) forms of them. In this article, we illustrate the differences and the relation between the proposed model and its alternative form. Furthermore, we study some properties and features for the concept of cumulative Tsallis entropy and its residual. In addition, we propose a dynamic past form of cumulative Tsallis entropy and obtain some of its properties.

Keywords: Cumulative residual Tsallis entropy; dynamic cumulative entropy; mean inactivity time; stochastic orders; Tsallis entropy; 94A17; 62N05; 60E15 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0503-8

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