Cure Fraction Models on Survival Data and Covariates with a Bayesian Parametric Estimation Methods

Authors

  • Umar Yusuf Madaki Department of Mathematics and Statistics, Faculty of Science, Yobe State University, Damaturu, Nigeria
  • Babangida Ibrahim Babura 2Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa State, Nigeria
  • Muhammad Sani Department of Mathematical Sciences, Federal university Dutsin-Ma Katsina State, Nigeria.
  • Ibrahim Abdullahi Department of Mathematics and Statistics, School of Mathematics and Computing, Kampala International University, Uganda.

Abstract

Cure fraction models are usually meant for survival data that contains a proportion of non-subject individuals for the event under study. In order to get an accurate estimate of the cure fraction model, researchers often used one of two models: the mixture model or the non-mixture model. This study presents both mixture and non-mixed cure fraction models, together with a survival data format that is based on the beta-Weibull distribution. In this body of work, an alternative extension to the Weibull distribution was devised for the purpose of analyzing lifetime data. The beta-Weibull distribution is a four-parameter distribution established in this study as an alternate extension to the Weibull distribution in lifetime data analysis. The suggested addition allows for the inclusion of covariate analysis in the model, with parameter estimation performed using a Bayesian approach and Gibbs sampling methods. In addition, a simulation study was carried out to emphasize the benefits of the new development.

Keywords:

Bayesian analysis, Beta-Weibull distribution, Cure fraction models, Survival analysis, MCMC algorithm

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Published

2023-04-10

How to Cite

Umar Yusuf Madaki, Babangida Ibrahim Babura, Muhammad Sani, & Ibrahim Abdullahi. (2023). Cure Fraction Models on Survival Data and Covariates with a Bayesian Parametric Estimation Methods. Applied Mathematics and Computational Intelligence (AMCI), 12(1), 17–29. Retrieved from https://ejournal.unimap.edu.my/index.php/amci/article/view/203