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Cure Models with Exponentiated Weibull Exponential Distribution for the Analysis of Melanoma Patients
| Content Provider | MDPI |
|---|---|
| Author | Omer, Mohamed Bakar, Mohd Adam, Mohd Mustafa, Mohd |
| Copyright Year | 2020 |
| Description | 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. |
| Starting Page | 1926 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math8111926 |
| Journal | Mathematics |
| Issue Number | 11 |
| Volume Number | 8 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2020-11-02 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Mathematical Social Sciences Survival Analysis Cure Fraction Models Exponentiated Weibull Exponential Distribution Maximum Likelihood Method Right-censored Data |
| Content Type | Text |
| Resource Type | Article |