Flexible parametric model for survival data subject to dependent censoring

• Published in: Biometrical journal Vol. 62; no. 1; pp. 136 - 156
• Main Authors: Deresa, Negera Wakgari, Van Keilegom, Ingrid
• Format: Journal Article
• Language: English
• Published: Germany Wiley - VCH Verlag GmbH & Co. KGaA 01.01.2020
• Subjects: association; Asymptotic methods; Biometry - methods; Computer simulation; dependent censoring; identifiability; Liver transplantation; Models, Statistical; parametric models; Parametric statistics; Quality assessment; Survival; Survival Analysis; Transplants; parametric models; association; dependent censoring; survival analysis; identifiability
• ISSN: 0323-3847; 1521-4036; 1521-4036
• DOI: 10.1002/bimj.201800375

When modeling survival data, it is common to assume that the (log‐transformed) survival time (T) is conditionally independent of the (log‐transformed) censoring time (C) given a set of covariates. There are numerous situations in which this assumption is not realistic, and a number of correction procedures have been developed for different models. However, in most cases, either some prior knowledge about the association between T and C is required, or some auxiliary information or data is/are supposed to be available. When this is not the case, the application of many existing methods turns out to be limited. The goal of this paper is to overcome this problem by developing a flexible parametric model, that is a type of transformed linear model. We show that the association between T and C is identifiable in this model. The performance of the proposed method is investigated both in an asymptotic way and through finite sample simulations. We also develop a formal goodness‐of‐fit test approach to assess the quality of the fitted model. Finally, the approach is applied to data coming from a study on liver transplants.