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The Half-Logistic Odd Power Generalized Weibull-G Family of Distributions

Author

Listed:
  • Peter O. Peter

    (Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana)

  • Fastel Chipepa

    (Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana)

  • Broderick Oluyede

    (Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana)

  • Boikanyo Makubate

    (Department of Mathematics & Statistical Sciences, Faculty of Science, Botswana International University of Science & Technology, Palapye, Botswana)

Abstract

We develop and study in detail a new family of distributions called Half-logistic Odd Power Generalized Weibull-G (HLOPGW-G) distribution, which is a linear combination of the exponentiated-G family of distributions. From the special cases considered, the model can fit heavy tailed data and has non-monotonic hazard rate functions. We further assess and demonstrate the performance of this family of distributions via simulation experiments. Real data examples are given to demonstrate the applicability of the proposed model compared to several other existing models.

Suggested Citation

  • Peter O. Peter & Fastel Chipepa & Broderick Oluyede & Boikanyo Makubate, 2022. "The Half-Logistic Odd Power Generalized Weibull-G Family of Distributions," Central European Journal of Economic Modelling and Econometrics, Central European Journal of Economic Modelling and Econometrics, vol. 14(1), pages 1-35, March.
    • Handle: RePEc:psc:journl:v:14:y:2022:i:1:p:1-35
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    More about this item

    Keywords

    half logistic distribution; half logistic-G distribution; Weibull generalized-G distribution; maximum likelihood estimatio;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C4 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • C8 - Mathematical and Quantitative Methods - - Data Collection and Data Estimation Methodology; Computer Programs

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