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The exponentiated transmuted-G family of distributions: Theory and applications

Author

Listed:
  • Faton Merovci
  • Morad Alizadeh
  • Haitham M. Yousof
  • G. G. Hamedani

Abstract

In this paper, a new family of continuous distributions called the exponentiated transmuted-G family is proposed which extends the transmuted-G family defined by Shaw and Buckley (2007). Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, generating function, Rényi and Shannon entropies, and order statistics are derived. Some special models of the new family are provided. The maximum likelihood is used for estimating the model parameters. We provide the simulation results to assess the performance of the proposed model. The usefulness and flexibility of the new family is illustrated using real data.

Suggested Citation

  • Faton Merovci & Morad Alizadeh & Haitham M. Yousof & G. G. Hamedani, 2017. "The exponentiated transmuted-G family of distributions: Theory and applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(21), pages 10800-10822, November.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:21:p:10800-10822
    DOI: 10.1080/03610926.2016.1248782
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    Citations

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    Cited by:

    1. Yousof Haitham M. & Masoom Ali M. & Goual Hafida & Ibrahim Mohamed, 2021. "A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 99-121, September.
    2. Haitham M. Yousof & M. Masoom Ali & Hafida Goual & Mohamed Ibrahim, 2021. "A new reciprocal Rayleigh extension: properties, copulas, different methods of estimation and a modified right-censored test for validation," Statistics in Transition New Series, Polish Statistical Association, vol. 22(3), pages 99-121, September.
    3. Rashad A. R. Bantan & Christophe Chesneau & Farrukh Jamal & Mohammed Elgarhy, 2020. "On the Analysis of New COVID-19 Cases in Pakistan Using an Exponentiated Version of the M Family of Distributions," Mathematics, MDPI, vol. 8(6), pages 1-20, June.
    4. Mohamed Ibrahim & M. Masoom Ali & Haitham M. Yousof, 2023. "The Discrete Analogue of the Weibull G Family: Properties, Different Applications, Bayesian and Non-Bayesian Estimation Methods," Annals of Data Science, Springer, vol. 10(4), pages 1069-1106, August.
    5. Rana Muhammad Usman & Muhammad Ahsan ul Haq, 2019. "Some Remarks on Odd Burr III Weibull Distribution," Annals of Data Science, Springer, vol. 6(1), pages 21-38, March.
    6. Wanting Wang & Zubair Ahmad & Omid Kharazmi & Clement Boateng Ampadu & E H Hafez & Marwa M Mohie El-Din, 2021. "New generalized-X family: Modeling the reliability engineering applications," PLOS ONE, Public Library of Science, vol. 16(3), pages 1-26, March.

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