The Exponentiated Generalized Power Generalized Weibull Distribution: Properties and Applications

Authors

Mahmoud Ali Selim, Department of Administrative Sciences, Applied College, King Khalid University, Box 960, Abha, KSA\\ Department of Statistics, Faculty of Commerce, Al-Azhar University, Box 11651, Cairo, EgyptFollow
Hamdy M. Salem, Department of Statistics, Faculty of Commerce, Al-Azhar University, Box 11651, Cairo, Egypt\\ Department of Administrative and Human Sciences, Applied College, Qassim University, Box 6666, Qassim, KSAFollow

Abstract

This paper introduces a new flexible extension of power generalized Weibull distribution which contains many life-time distributions as sub-models. The hazard rate function of the proposed distribution is useful and suitable for monotone and non-monotone hazard behaviors that are more likely to be observed in real-life situations. Statistical properties of the new model are studied including; quantile, moment generating, reliability, hazard, and reverse hazard functions. Further, the moments, incomplete moments, mean deviations, Bonferroni and Lorenz curves, order statistics densities are derived. The maximum likelihood estimation method is used to estimate the distribution parameters. The effectiveness and usefulness of the new distribution are accomplished through four different real-life applications.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/120103

Recommended Citation

Ali Selim, Mahmoud and M. Salem, Hamdy (2023) "The Exponentiated Generalized Power Generalized Weibull Distribution: Properties and Applications," Journal of Statistics Applications & Probability: Vol. 12: Iss. 1, Article 3.
DOI: http://dx.doi.org/10.18576/jsap/120103
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol12/iss1/3