A comparative study of modified Weibull distributions in proportional hazards models

The field of survival analysis has made a tremendous progress during the latter half of the twentieth century. Weibull distribution and parametric models (proportional hazards models) have played important roles in the analysis of survival data. In this paper, a two-parameter modified Weibull distri...

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Bibliographic Details
Main Authors: Hongxiang, Li, Shan, Fam Pei, Baofeng, Shi
Format: Conference Proceeding
Language:English
Subjects:
Cardiovascular disease
Comparative studies
Hazards
Heart diseases
Parameter modification
Statistical models
Survival
Survival analysis
Weibull distribution
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Summary:The field of survival analysis has made a tremendous progress during the latter half of the twentieth century. Weibull distribution and parametric models (proportional hazards models) have played important roles in the analysis of survival data. In this paper, a two-parameter modified Weibull distribution, three-parameter modified Weibull distri- butions and a four-parameter modified Weibull distribution are demonstrated that can be adopted in the proportional hazards models. Smoothed hazard estimate is used to indicate that Weibull and modified Weibull models are preferred to apply in the coronary heart disease (CHD) data. Weibull and modified Weibull proportional hazards models are fitted to the CHD data. It is found that the two-parameter modified Weibull proportional hazards model has a better fit to the CHD data than Weibull and other modified Weibull proportional hazards models.
ISSN:0094-243X
1551-7616
DOI:10.1063/5.0018428