A Weibull-Gompertz Makeham Distribution with Properties and Application to Cancer Data

Koleoso, Peter O. and Chukwu, Angela U. (2019) A Weibull-Gompertz Makeham Distribution with Properties and Application to Cancer Data. Journal of Advances in Mathematics and Computer Science, 34 (5). pp. 1-17. ISSN 2456-9968

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Abstract

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.

Item Type: Article
Subjects: Science Global Plos > Mathematical Science
Depositing User: Unnamed user with email support@science.globalplos.com
Date Deposited: 21 Apr 2023 08:03
Last Modified: 29 Feb 2024 04:26
URI: http://ebooks.manu2sent.com/id/eprint/491

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