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Open AccessArticle
Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia
by
Hanan H. Sakr
Hanan H. Sakr 1,2,* and
Mohamed Said Mohamed
Mohamed Said Mohamed 2
1
Department of Management Information Systems, College of Business Administration in Hawtat Bani Tamim, Prince Sattam Bin Abdulaziz University, Saudi Arabia
2
Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11341, Egypt
*
Author to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2639; https://doi.org/10.3390/math12172639 (registering DOI)
Submission received: 6 June 2024
/
Revised: 6 July 2024
/
Accepted: 10 July 2024
/
Published: 25 August 2024
Abstract
This paper presents several nonparametric estimators for the Sharma–Taneja–Mittal entropy measure of a continuous random variable with known support, utilizing spacing, a local linear model, and a kernel function. The properties of these estimators are discussed. Their performance was also examined through real data analysis and Monte Carlo simulations. In the Monte Carlo experiments, the proposed Sharma–Taneja–Mittal entropy estimators were employed to create a test of goodness-of-fit under the standard uniform distribution. The suggested test statistics demonstrate strong performance, as evidenced by a comparison of their power with that of other tests for uniformity. Finally, we examine a classification issue in the recognition of patterns to underscore the significance of these measures.
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MDPI and ACS Style
Sakr, H.H.; Mohamed, M.S.
Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia. Mathematics 2024, 12, 2639.
https://doi.org/10.3390/math12172639
AMA Style
Sakr HH, Mohamed MS.
Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia. Mathematics. 2024; 12(17):2639.
https://doi.org/10.3390/math12172639
Chicago/Turabian Style
Sakr, Hanan H., and Mohamed Said Mohamed.
2024. "Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia" Mathematics 12, no. 17: 2639.
https://doi.org/10.3390/math12172639
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