A non-mixture cure rate model for analyzing the survival lifetimes of cardiovascular heart failure patients

Article type: Research Article

Authors: de Oliveira, Ricardo Puziol^{a; *} | de Oliveira Peres, Marcos Vinicius^a | Bertoli, Wesley^b | Achcar, Jorge Alberto^a

Affiliations: [a] Ribeirão Preto Medical School, University of São Paulo, Ribeirão Preto, SP, Brazil | [b] Department of Statistics, Federal University of Technology – Paraná, Curitiba, PR, Brazil

Correspondence: [*] Corresponding author: Ricardo Puziol de Oliveira, Ribeirão Preto Medical School, University of São Paulo, Ribeirão Preto, SP, Brazil. E-mail: rpuziol.oliveira@gmail.com.

Abstract: The present study considers non-mixture models based on the discrete Burr XIII distribution to model recurrent event data in the presence of a cure fraction. In this context, we provide an alternative to the standard Cox proportional hazards model using a discretized distribution to analyze lifetime data assuming a non-mixture structure for cure rates. In a Bayesian setting, the proposed methodology was considered for analyzing a real dataset from a retrospective cohort study that aimed to evaluate specific clinical conditions that affect the lifetimes of 299 heart failure patients admitted to the Institute of Cardiology and Allied Hospital – Faisalabad, Pakistan (April-December, 2015). The model validation process was addressed using the Cox-Snell residuals, which allowed us to identify the suitability of the proposed non-mixture cure rate model.

Keywords: Bayesian approach, Burr XIII distribution, heart failure, non-mixture model, survival regression analysis

DOI: 10.3233/MAS-221341

Journal: Model Assisted Statistics and Applications, vol. 18, no. 1, pp. 45-55, 2023