Sine Unit Exponentiated Half-Logistic Distribution: Theory, Estimation, and Applications in Reliability Modeling

Murat Genç () and Ömer Özbilen
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Murat Genç: Department of Management Information Systems, Faculty of Economics and Administrative Sciences, Tarsus University, Mersin 33400, Türkiye
Ömer Özbilen: Department of Primary Mathematics Teaching, Faculty of Education, Mersin University, Mersin 33110, Türkiye

Mathematics, 2025, vol. 13, issue 11, 1-20

Abstract: This study introduces the sine unit exponentiated half-logistic distribution, a novel extension of the unit exponentiated half-logistic distribution within the sine-G family. Using trigonometric transformations, the proposed distribution offers flexible density shapes for modeling asymmetric unit-interval data. We derive its statistical properties, including quantiles, moments, and stress–strength reliability, and estimate parameters via classical methods like maximum likelihood and Anderson–Darling. Simulations and real-world applications to fiber strength and burr datasets demonstrate the superior fit of the proposed distribution over competing models, highlighting its utility in reliability engineering and manufacturing.

Keywords: half-logistic distributions; trigonometric distributions; stress–strength reliability; parameter estimation; data analysis (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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