Cure Models with Exponentiated Weibull Exponential Distribution for the Analysis of Melanoma Patients

Mohamed Elamin Abdallah Mohamed Elamin Omer, Mohd Rizam Abu Bakar, Mohd Bakri Adam and Mohd Shafie Mustafa
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Mohamed Elamin Abdallah Mohamed Elamin Omer: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Malaysia
Mohd Rizam Abu Bakar: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Malaysia
Mohd Bakri Adam: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Malaysia
Mohd Shafie Mustafa: Department of Mathematics, Faculty of Science, Universiti Putra Malaysia, Serdang 43400, Malaysia

Mathematics, 2020, vol. 8, issue 11, 1-15

Abstract: In the survival data analysis, commonly, it is presumed that all study subjects will eventually have the event of concern. Nonetheless, it tends to be unequivocally expected that a fraction of these subjects will never expose to the event of interest. The cure rate models are usually used to model this type of data. In this paper, we introduced a maximum likelihood estimates analysis for the four-parameter exponentiated Weibull exponential (EWE) distribution in the existence of cured subjects, censored observations, and predictors. Aiming to include the fraction of unsusceptible (cured) individuals in the analysis, a mixture cure model, and two non-mixture cure models—bounded cumulative hazard model, and geometric non-mixture model with EWE distribution—are proposed. The mixture cure model provides a better fit to real data from a Melanoma clinical trial compared to the other two non-mixture cure models.

Keywords: survival analysis; cure fraction models; exponentiated Weibull exponential distribution; maximum likelihood method; right-censored data (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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