Identifiability of cure models

Chin-Shang Li, Jeremy M. G. Taylor and Judy P. Sy

Statistics & Probability Letters, 2001, vol. 54, issue 4, 389-395

Abstract: 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 identifiability 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 identified. In the non-mixture PH model, we show the model is identifiable if the distribution function is specified.

Keywords: Cure; model; Latency; Long-term; incidence; Logistic-Kaplan-Meier; model; Logistic-proportional; hazards; model (search for similar items in EconPapers)
Date: 2001
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Citations: View citations in EconPapers (37)

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