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

Author

Listed:
  • 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)

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.

Suggested Citation

  • Murat Genç & Ömer Özbilen, 2025. "Sine Unit Exponentiated Half-Logistic Distribution: Theory, Estimation, and Applications in Reliability Modeling," Mathematics, MDPI, vol. 13(11), pages 1-20, June.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1871-:d:1671187
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