A Weibull-Gompertz Makeham Distribution with Properties and Application to Cancer Data
Peter O. Koleoso, Angela U. Chukwu
Journal of Advances in Mathematics and Computer Science · pp. 1–17 · Published 23 Dec 2019
10.9734/jamcs/2019/v34i530223Abstract
The article presents an extension of the Gompertz Makeham distribution using the Weibull-G family of continuous probability distributions proposed by Tahir et al. (2016a). This new extension generates a more flexible model called Weibull-Gompertz Makeham distribution. Some statistical properties of the distribution which include the moments, survival function, hazard function and distribution of order statistics were derived and discussed. The parameters were estimated by the method of maximum likelihood and the distribution was applied to a bladder cancer data. Weibull-Gompertz Makeham distribution performed best (AIC = -6.8677, CAIC = -6.3759, BIC = 7.3924) when compared with other existing distributions of the same family to model bladder cancer data.
Cited by 3
Dawlah Alsulami, Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia · AIMS Mathematics · 2025
Moch Taufik Hakiki, Dimaz Wisnu Adipradana, Imam Safawi Ahmad · BAREKENG: Jurnal Ilmu Matematika dan Terapan · 2024
Peter O. Koleoso · Scientific African · 2023
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