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On a New Version of Weibull Model: Statistical Properties, Parameter Estimation and Applications

Hassan Okasha1,2, Mazen Nassar1,3,*

1 Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, 21589, Saudi Arabia
2 Department of Mathematics, Faculty of Science, Al-Azhar University, Nasr City, Cairo, 11884, Egypt
3 Department of Statistics, Faculty of Commerce, Zagazig University, Zagazig, 44519, Egypt

* Corresponding Authors: Mazen Nassar. Email: email; email

Computer Modeling in Engineering & Sciences 2023, 137(3), 2219-2241. https://doi.org/10.32604/cmes.2023.028783

Abstract

In this paper, we introduce a new four-parameter version of the traditional Weibull distribution. It is able to provide seven shapes of hazard rate, including constant, decreasing, increasing, unimodal, bathtub, unimodal then bathtub, and bathtub then unimodal shapes. Some basic characteristics of the proposed model are studied, including moments, entropies, mean deviations and order statistics, and its parameters are estimated using the maximum likelihood approach. Based on the asymptotic properties of the estimators, the approximate confidence intervals are also taken into consideration in addition to the point estimators. We examine the effectiveness of the maximum likelihood estimators of the model’s parameters through simulation research. Based on the simulation findings, it can be concluded that the provided estimators are consistent and that asymptotic normality is a good method to get the interval estimates. Three actual data sets for COVID-19, engineering and blood cancer are used to empirically demonstrate the new distribution’s usefulness in modeling real-world data. The analysis demonstrates the proposed distribution’s ability in modeling many forms of data as opposed to some of its well-known sub-models, such as alpha power Weibull distribution.

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APA Style
Okasha, H., Nassar, M. (2023). On a new version of weibull model: statistical properties, parameter estimation and applications. Computer Modeling in Engineering & Sciences, 137(3), 2219-2241. https://doi.org/10.32604/cmes.2023.028783
Vancouver Style
Okasha H, Nassar M. On a new version of weibull model: statistical properties, parameter estimation and applications. Comput Model Eng Sci. 2023;137(3):2219-2241 https://doi.org/10.32604/cmes.2023.028783
IEEE Style
H. Okasha and M. Nassar, "On a New Version of Weibull Model: Statistical Properties, Parameter Estimation and Applications," Comput. Model. Eng. Sci., vol. 137, no. 3, pp. 2219-2241. 2023. https://doi.org/10.32604/cmes.2023.028783



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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