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The Zubair-G Family of Distributions: Properties and Applications

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  • Zubair Ahmad

    (Quaid-i-Azam University 45320)

Abstract

In this article, a new method is suggested to expand a family of life distributions by adding an additional parameter. The new proposal may be named as the Zubair-G family of distributions. For this family, general expressions for some mathematical properties are derived. The maximum product spacing, ordinary least square and maximum likelihood methods are discussed to estimate the model parameters. A three-parameter special sub-model of the proposed family, called the Zubair–Weibull distribution is considered in detail. Its density function can be symmetrical, left-skewed, right-skewed, and has increasing, decreasing, bathtub and upside-down bathtub shaped failure rates. To illustrate the importance of the proposed family over the other well-known methods, two applications to real data sets are analyzed.

Suggested Citation

  • Zubair Ahmad, 2020. "The Zubair-G Family of Distributions: Properties and Applications," Annals of Data Science, Springer, vol. 7(2), pages 195-208, June.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:2:d:10.1007_s40745-018-0169-9
    DOI: 10.1007/s40745-018-0169-9
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    References listed on IDEAS

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    1. Nadarajah, Saralees & Gupta, Arjun K., 2007. "A generalized gamma distribution with application to drought data," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 74(1), pages 1-7.
    2. M. E. Ghitany & E. K. Al-Hussaini & R. A. Al-Jarallah, 2005. "Marshall-Olkin extended weibull distribution and its application to censored data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(10), pages 1025-1034.
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    Cited by:

    1. Sandeep Kumar Maurya & Saralees Nadarajah, 2021. "Poisson Generated Family of Distributions: A Review," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 83(2), pages 484-540, November.
    2. Broderick Oluyede & Thatayaone Moakofi, 2022. "Type II Exponentiated Half-Logistic-Gompertz Topp-Leone-G Family of Distributions with Applications," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(4), pages 225-262, December.

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