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Generalized Marshall-Olkin exponentiated exponential distribution: Properties and applications

Author

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  • Egemen Ozkan
  • Gulhayat Golbasi Simsek

Abstract

In this study, we propose a generalized Marshall-Olkin exponentiated exponential distribution as a submodel of the family of generalized Marshall-Olkin distribution. Some statistical properties of the proposed distribution are examined such as moments, the moment-generating function, incomplete moment, and Lorenz and Bonferroni curves. We give five estimators for the unknown parameters of the proposed distribution based on maximum likelihood, least squares, weighted least squares, and the Anderson-Darling and Cramer-von Mises methods of estimation. To investigate the finite sample properties of the estimators, a comprehensive Monte Carlo simulation study is conducted for the models with three sets of randomly selected parameter values. Finally, four different real data applications are presented to demonstrate the usefulness of the proposed distribution in real life.

Suggested Citation

  • Egemen Ozkan & Gulhayat Golbasi Simsek, 2023. "Generalized Marshall-Olkin exponentiated exponential distribution: Properties and applications," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-22, January.
    • Handle: RePEc:plo:pone00:0280349
    DOI: 10.1371/journal.pone.0280349
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    References listed on IDEAS

    as
    1. Lemonte, Artur J., 2013. "A new exponential-type distribution with constant, decreasing, increasing, upside-down bathtub and bathtub-shaped failure rate function," Computational Statistics & Data Analysis, Elsevier, vol. 62(C), pages 149-170.
    2. Saralees Nadarajah, 2011. "The exponentiated exponential distribution: a survey," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 95(3), pages 219-251, September.
    3. P. Sankaran & K. Jayakumar, 2008. "On proportional odds models," Statistical Papers, Springer, vol. 49(4), pages 779-789, October.
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