Cure Models with Exponentiated Weibull Exponential Distribution for the Analysis of Melanoma Patients
| Autor: | Mohd Shafie Mustafa, Mohd Bakri Adam, Mohamed Elamin Abdallah Mohamed Elamin Omer, Mohd Rizam Abu Bakar |
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| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
exponentiated Weibull exponential distribution
maximum likelihood method Exponential distribution General Mathematics Maximum likelihood cure fraction models survival analysis right-censored data 010501 environmental sciences 01 natural sciences 010104 statistics & probability Statistics Computer Science (miscellaneous) Fraction (mathematics) 0101 mathematics Engineering (miscellaneous) Survival analysis 0105 earth and related environmental sciences Mathematics Weibull distribution Event (probability theory) lcsh:Mathematics lcsh:QA1-939 Exponential function Cumulative hazard |
| Zdroj: | Mathematics; Volume 8; Issue 11; Pages: 1926 Mathematics, Vol 8, Iss 1926, p 1926 (2020) |
| ISSN: | 2227-7390 |
| DOI: | 10.3390/math8111926 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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