On Cumulative Tsallis Entropy and Its Dynamic Past Version

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...

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Bibliographic Details
Published inIndian journal of pure and applied mathematics Vol. 51; no. 4; pp. 1903 - 1917
Main Author Mohamed, Mohamed Said
Format Journal Article
LanguageEnglish
Published New Delhi Indian National Science Academy 01.12.2020
Springer Nature B.V
Subjects
Applications of Mathematics
Mathematics
Mathematics and Statistics
Numerical Analysis
60E15
Cumulative residual Tsallis entropy
stochastic orders
Tsallis entropy
dynamic cumulative entropy
94A17
62N05
mean inactivity time
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Summary: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.
ISSN:0019-5588
0975-7465
DOI:10.1007/s13226-020-0503-8