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

Hanan H. Sakr () and Mohamed Said Mohamed
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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
Mohamed Said Mohamed: Mathematics Department, Faculty of Education, Ain Shams University, Cairo 11341, Egypt

Mathematics, 2024, vol. 12, issue 17, 1-23

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.

Keywords: entropy; goodness-of-fit test; uniformity; order statistics; nonparametric estimation; recognition of patterns (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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