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A Competing Risks Cure Frailty Model: An Application to Relapse-Free Survival of Breast Cancer Patients Publisher



Ghavami V1 ; Mahmoudi M2 ; Foroushani AR2 ; Baghishani H3 ; Yaseri M2 ; Shandiz FH4
Authors
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Authors Affiliations
  1. 1. Department of Epidemiology and Biostatistics, School of Health, Mashhad University of Medical Sciences, Mashhad, Iran
  2. 2. Department of Epidemiology and Biostatistics, School of Public Health, Tehran University of Medical Sciences, Tehran, Iran
  3. 3. Department of Applied Mathematics, Shahrood University of Technology, Shahrood, Iran
  4. 4. Cancer Research Center, Mashhad University of Medical Sciences, Mashhad, Iran

Source: Pakistan Journal of Statistics and Operation Research Published:2021


Abstract

If there is unobserved heterogeneity among susceptible patients in competing risks cure models, applying the methods that do not consider this heterogeneity may lead to invalid results. Therefore, this study aimed to introduce a model to cover the above properties of survival studies. We introduced a unified model by combining a parametric mixture cure gamma frailty model and vertical modeling of competing risks. We obtained estimates of parameters by an iterative method and Laplace transform technique. Then, we calculated the cumulative incidence functions (CIFs) and related confidence bounds using a bootstrap approach. We conducted an extensive simulation study to evaluate the performance of the proposed model. The results of the simulation study showed the superior performance of our proposed competing risks cure frailty model. Finally, we applied the proposed method to analyze a real dataset of breast cancer patients. © 2021. All Rights Reserved.
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