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A New Flexible Family of Continuous Distributions: The Additive Odd-G Family

Author

Listed:
  • Emrah Altun

    (Department of Mathematics, Bartin University, Bartin 74100, Turkey)

  • Mustafa Ç. Korkmaz

    (Department of Measurement and Evaluation, Artvin Çoruh University, Artvin 08000, Turkey)

  • Mahmoud El-Morshedy

    (Department of Mathematics, College of Science and Humanities in Al-Kharj, Prince Sattam bin Abdulaziz University, Al-Kharj 11942, Saudi Arabia
    Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

  • Mohamed S. Eliwa

    (Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt)

Abstract

This paper introduces a new family of distributions based on the additive model structure. Three submodels of the proposed family are studied in detail. Two simulation studies were performed to discuss the maximum likelihood estimators of the model parameters. The log location-scale regression model based on a new generalization of the Weibull distribution is introduced. Three datasets were used to show the importance of the proposed family. Based on the empirical results, we concluded that the proposed family is quite competitive compared to other models.

Suggested Citation

  • Emrah Altun & Mustafa Ç. Korkmaz & Mahmoud El-Morshedy & Mohamed S. Eliwa, 2021. "A New Flexible Family of Continuous Distributions: The Additive Odd-G Family," Mathematics, MDPI, vol. 9(16), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:16:p:1837-:d:608164
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    References listed on IDEAS

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    2. He, Bo & Cui, Weimin & Du, Xiaofeng, 2016. "An additive modified Weibull distribution," Reliability Engineering and System Safety, Elsevier, vol. 145(C), pages 28-37.
    3. Alexander, Carol & Cordeiro, Gauss M. & Ortega, Edwin M.M. & Sarabia, José María, 2012. "Generalized beta-generated distributions," Computational Statistics & Data Analysis, Elsevier, vol. 56(6), pages 1880-1897.
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    6. Hossein Haghbin & Gamze Ozel & Morad Alizadeh & G. G. Hamedani, 2017. "A new generalized odd log-logistic family of distributions," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(20), pages 9897-9920, October.
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