Identifiability of cure models

✍ Scribed by Chin-Shang Li; Jeremy M.G. Taylor; Judy P. Sy

• Book ID: 104301721
• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 93 KB
• Volume: 54
• Category: Article
• ISSN: 0167-7152
• DOI: 10.1016/s0167-7152(01)00105-5

✦ Synopsis

Cure models can be used for censored survival data in which a fraction of the observations do not exhibit the event of interest despite long-term follow-up. In this paper we investigate the identiÿability of two forms of the cure model, a standard cure model based on a mixture distribution and a non-mixture proportional hazards (PH) model with long-term survivors. In the standard cure model, except for the case where the conditional survival function is independent of covariates and the mixture probability is an arbitrary function of a covariate we show that the parameters of the standard cure model are identiÿed. In the non-mixture PH model, we show the model is identiÿable if the distribution function is speciÿed.