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Identifiability of cure models

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

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    Article provided by Elsevier in its journal Statistics & Probability Letters.

    Volume (Year): 54 (2001)
    Issue (Month): 4 (October)
    Pages: 389-395

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    Handle: RePEc:eee:stapro:v:54:y:2001:i:4:p:389-395
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