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Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia

Author

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  • Hanan H. Sakr

    (Department of Management Information Systems, College of Business Administration in Hawtat Bani Tamim, Prince Sattam Bin Abdulaziz University, Saudi Arabia
    Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11341, Egypt)

  • Mohamed Said Mohamed

    (Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11341, Egypt)

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.

Suggested Citation

  • Hanan H. Sakr & Mohamed Said Mohamed, 2024. "Sharma–Taneja–Mittal Entropy and Its Application of Obesity in Saudi Arabia," Mathematics, MDPI, vol. 12(17), pages 1-23, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2639-:d:1463691
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    References listed on IDEAS

    as
    1. Guoxin Qiu & Kai Jia, 2018. "Extropy estimators with applications in testing uniformity," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 30(1), pages 182-196, January.
    2. Wanke, Peter F., 2008. "The uniform distribution as a first practical approach to new product inventory management," International Journal of Production Economics, Elsevier, vol. 114(2), pages 811-819, August.
    3. Ebrahimi, Nader & Pflughoeft, Kurt & Soofi, Ehsan S., 1994. "Two measures of sample entropy," Statistics & Probability Letters, Elsevier, vol. 20(3), pages 225-234, June.
    4. D. Mittal, 1975. "On some functional equations concerning entropy, directed divergence and inaccuracy," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 22(1), pages 35-45, December.
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