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Cure models with exponentiated Weibull exponential distribution for the analysis of melanoma patients


Citation

Mohamed Elamin Omer, Mohamed Elamin Abdallah and Abu Bakar, Mohd Rizam and Adam, Mohd Bakri and Mustafa, Mohd Shafie (2020) Cure models with exponentiated Weibull exponential distribution for the analysis of melanoma patients. Mathematics, 8 (11). pp. 1-15. ISSN 2227-7390

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.


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Official URL or Download Paper: https://www.mdpi.com/2227-7390/8/11/1926

Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.3390/math8111926
Publisher: Multidisciplinary Digital Publishing Institute
Keywords: Survival analysis; Cure fraction models; Exponentiated Weibull exponential distribution; Maximum likelihood method; Right-censored data
Depositing User: Ms. Nuraida Ibrahim
Date Deposited: 29 Dec 2021 01:22
Last Modified: 29 Dec 2021 01:22
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.3390/math8111926
URI: http://psasir.upm.edu.my/id/eprint/88325
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