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Research Article | Open Access

Continuous Tsallis and Renyi extropy with pharmaceutical market application

Mohamed Said Mohamed1( )Najwan Alsadat2Oluwafemi Samson Balogun3
Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11341, Egypt
Department of Quantitative Analysis, College of Business Administration, King Saud University, P.O. Box 71115, Riyadh 11587, Saudi Arabia
School of Computing, University of Eastern Finland
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Abstract

In this paper, the Tsallis and Renyi extropy is presented as a continuous measure of information under the continuous distribution. Furthermore, the features and their connection to other information measures are introduced. Some stochastic comparisons and results on the order statistics and upper records are given. Moreover, some theorems about the maximum Tsallis and Renyi extropy are discussed. On the other hand, numerical results of the non-parametric estimation of Tsallis extropy are calculated for simulated and real data with application to time series model and its forecasting.

CLC number: 62B10, 62H30, 94A17

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AIMS Mathematics
Pages 24176-24195

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Cite this article:
Mohamed MS, Alsadat N, Balogun OS. Continuous Tsallis and Renyi extropy with pharmaceutical market application. AIMS Mathematics, 2023, 8(10): 24176-24195. https://doi.org/10.3934/math.20231233

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Received: 05 June 2023
Revised: 29 July 2023
Accepted: 06 August 2023
Published: 15 October 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)