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On Exponential Negative-Binomial-X Family of Distributions

Author

Listed:
  • Zawar Hussain

    (Quaid-i-Azam University
    Cholistan University of Veterinary and Animal Sciences)

  • Muhammad Aslam

    (Quaid-i-Azam University)

  • Zahid Asghar

    (Quaid-i-Azam University)

Abstract

This paper introduces a new family of distributions using exponential negative binomial distribution. The proposed family of distributions generalizes the Marshall–Olkin, Complementary exponential G-geometric, Complementary Beta G-geometric and Complementary Kumaraswamy G-geometric families of distribution. Explicit expressions of statistical and reliability properties of the proposed family of distributions are derived. Some special cases of this family of distributions are presented in detail. Suitability of the suggested family of distributions is established by using real life data sets from different areas of application. The empirical results indicate that the proposed family performs better than already existing families of distributions.

Suggested Citation

  • Zawar Hussain & Muhammad Aslam & Zahid Asghar, 2019. "On Exponential Negative-Binomial-X Family of Distributions," Annals of Data Science, Springer, vol. 6(4), pages 651-672, December.
    • Handle: RePEc:spr:aodasc:v:6:y:2019:i:4:d:10.1007_s40745-019-00194-8
    DOI: 10.1007/s40745-019-00194-8
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    References listed on IDEAS

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    1. Mohammed K. Shakhatreh, 2018. "A new three-parameter extension of the log-logistic distribution with applications to survival data," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 47(21), pages 5205-5226, November.
    2. Ayman Alzaatreh & Carl Lee & Felix Famoye, 2013. "A new method for generating families of continuous distributions," METRON, Springer;Sapienza Università di Roma, vol. 71(1), pages 63-79, June.
    3. M. H. Tahir & Gauss M. Cordeiro & Ayman Alzaatreh & M. Mansoor & M. Zubair, 2016. "The logistic-X family of distributions and its applications," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(24), pages 7326-7349, December.
    4. Adamidis, Konstantinos & Dimitrakopoulou, Theodora & Loukas, Sotirios, 2005. "On an extension of the exponential-geometric distribution," Statistics & Probability Letters, Elsevier, vol. 73(3), pages 259-269, July.
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    Cited by:

    1. 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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