A New Generalized Gamma-Weibull Distribution and its Applications

Authors

Nihimat Iyebuhola Aleshinloye, Department of Mathematics and Statistics, Kwara State University, Malete P.M.B. 1530, Ilorin, Nigeria
Samuel Adewale Aderoju, Department of Mathematics and Statistics, Kwara State University, Malete P.M.B. 1530, Ilorin, NigeriaFollow
Alfred Adewole Abiodun, Department of Statistics, University of Ilorin, P.M.B. 1515, Ilorin, Nigeria
Bako Lukmon Taiwo, Department of Mathematics and Statistics, Kwara State University, Malete P.M.B. 1530, Ilorin, Nigeria

Abstract

In this paper, a New Generalized Gamma-Weibull (NGGW) distribution is developed by compounding Weibull and generalized gamma distribution. Some mathematical properties such as moments, Rényi entropy and order statistics are derived and discussed. The maximum likelihood estimation (MLE) method is used to estimate the model parameters. The proposed model is applied to two real-life datasets to illustrate its performance and flexibility as compared to some other competing distributions. The results obtained show that the new distribution fits each of the data better than the other competing distributions.

Recommended Citation

Aleshinloye, Nihimat Iyebuhola; Aderoju, Samuel Adewale; Abiodun, Alfred Adewole; and Taiwo, Bako Lukmon (2023) "A New Generalized Gamma-Weibull Distribution and its Applications," Al-Bahir Journal for Engineering and Pure Sciences: Vol. 2: Iss. 2, Article 5.
Available at: https://doi.org/10.55810/2313-0083.1021

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