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

Author

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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)

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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    References listed on IDEAS

    as
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    3. José Oliveira & Jéssica Santos & Cleber Xavier & Daniele Trindade & Gauss M. Cordeiro, 2016. "The McDonald half-logistic distribution: Theory and practice," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(7), pages 2005-2022, April.
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    5. Gauss M. Cordeiro & Morad Alizadeh & Edwin M. M. Ortega, 2014. "The Exponentiated Half-Logistic Family of Distributions: Properties and Applications," Journal of Probability and Statistics, Hindawi, vol. 2014, pages 1-21, March.
    6. Artur J. Lemonte & Gauss M. Cordeiro & Edwin M. M. Ortega, 2014. "On the Additive Weibull Distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 43(10-12), pages 2066-2080, May.
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