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A New Topp–Leone Odd Weibull Flexible-G Family of Distributions with Applications

Author

Listed:
  • Fastel Chipepa

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 0016, Palapye, Botswana)

  • Mahmoud M. Abdelwahab

    (Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia)

  • Wellington Fredrick Charumbira

    (Department of Mathematics and Statistical Sciences, Botswana International University of Science and Technology, Private Bag 0016, Palapye, Botswana
    Department of Applied Mathematics and Statistics, Midlands State University, Private Bag 9055, Gweru, Zimbabwe)

  • Mustafa M. Hasaballah

    (Department of Basic Sciences, Marg Higher Institute of Engineering and Modern Technology, Cairo 11721, Egypt)

Abstract

The acceptance of generalized distributions has significantly improved over the past two decades. In this paper, we introduce a new generalized distribution: Topp–Leone odd Weibull flexible-G family of distributions (FoD). The new FoD is a combination of two FOD; the Topp–Leone-G and odd Weibull-flexible-G families. The proposed FoD possesses more flexibility compared to the two individual FoD when considered separately. Some selected statistical properties of this new model are derived. Three special cases from the proposed family are considered. The new model exhibits symmetry and long or short tails, and it also addresses various levels of kurtosis. Monte Carlo simulation studies were conducted to verify the consistency of the maximum likelihood estimators. Two real data examples were used as illustrations on the flexibility of the new model in comparison to other competing models. The developed model proved to perform better than all the selected competing models.

Suggested Citation

  • Fastel Chipepa & Mahmoud M. Abdelwahab & Wellington Fredrick Charumbira & Mustafa M. Hasaballah, 2025. "A New Topp–Leone Odd Weibull Flexible-G Family of Distributions with Applications," Mathematics, MDPI, vol. 13(17), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:17:p:2866-:d:1742674
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