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The Marshall-Olkin Generalized-G Family Of Distributions With Applications

Author

Listed:
  • Haitham M. Yousof

    (Benha University, Egypt)

  • Ahmed Z. Afify

    (Benha University, Egypt)

  • Saralees Nadarajah

    (University of Manchester, Manchester, UK)

  • Gokarna R. Aryal

    (Purdue University Northwest, USA)

Abstract

We introduce a new class of distributions called the Marshall-Olkin generalized-G family. Some of its mathematical properties including explicit expressions for the ordinary and incomplete moments, order statistics are discussed. The maximum likelihood method is used for estimating the model parameters. The importance and flexibility of the new family are illustrated by means of two applications to real data sets.

Suggested Citation

  • Haitham M. Yousof & Ahmed Z. Afify & Saralees Nadarajah & Gokarna R. Aryal, 2018. "The Marshall-Olkin Generalized-G Family Of Distributions With Applications," Statistica, Department of Statistics, University of Bologna, vol. 78(3), pages 273-295.
    • Handle: RePEc:bot:rivsta:v:78:y:2018:i:3:p:273-295
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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. Fiaz Ahmad Bhatti & G. G. Hamedani & Mustafa C. Korkmaz & Gauss M. Cordeiro & Haitham M. Yousof & Munir Ahmad, 2019. "On Burr III Marshal Olkin family: development, properties, characterizations and applications," Journal of Statistical Distributions and Applications, Springer, vol. 6(1), pages 1-21, December.
    4. Isidro Jesús González-Hernández & Rafael Granillo-Macías & Carlos Rondero-Guerrero & Isaías Simón-Marmolejo, 2021. "Marshall-Olkin distributions: a bibliometric study," Scientometrics, Springer;Akadémiai Kiadó, vol. 126(11), pages 9005-9029, November.

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