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Exponentiated Generalized Modified Weibull Distribution for Skewed Dataset

Author

Listed:
  • Awopeju K. Abidemi

    (Nnamdi Azikiwe University, Awka, Anambra State)

  • Alfred A. Abiodun

    (Faculty of Physical Sciences, University of Ilorin, Ilorin, Kwara State)

  • Bright F. Ajibade

    (Petroleum Training Institute, Effurun, Warri, Delta State,Nigeria)

Abstract

Using the Exponentiated approach and three-parameter Weibull distribution as baseline function, a newly generalized distribution was formed called the Exponentiated Generalized Modified Weibull distribution. One of the properties of a proper probability density function was used to ascertain that the resulting function is a proper probability density function. Statistical properties of the newly generated distribution were studied and graphs of probability density and cumulative density functions of the distribution were plotted using varying parameter values. Monte Carlo simulation approach was used for the test of homogeneity of the distribution and it was observed that the parameters in the distribution approach the true value as sample size increases. The distribution was compared with some of the existing distributions in its category and it was observed that the distribution outperformed the existing distributions using secondary data. Therefore, it was concluded that Exponentiated Generalized Modified Weibull distribution can be adopted in modeling events involving distributions of its category

Suggested Citation

  • Awopeju K. Abidemi & Alfred A. Abiodun & Bright F. Ajibade, 2026. "Exponentiated Generalized Modified Weibull Distribution for Skewed Dataset," International Journal of Research and Innovation in Applied Science, International Journal of Research and Innovation in Applied Science (IJRIAS), vol. 11(4), pages 609-626, April.
    • Handle: RePEc:bjf:journl:v:11:y:2026:i:4:p:609-626
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    References listed on IDEAS

    as
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    2. Chen, Zhenmin, 2000. "A new two-parameter lifetime distribution with bathtub shape or increasing failure rate function," Statistics & Probability Letters, Elsevier, vol. 49(2), pages 155-161, August.
    3. Maha A. D. Aldahlan & Ahmed Z. Afify, 2020. "The Odd Exponentiated Half-Logistic Exponential Distribution: Estimation Methods and Application to Engineering Data," Mathematics, MDPI, vol. 8(10), pages 1-26, October.
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