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Cure-rate estimation under Case-1 interval censoring

Arusharka Sen·Fang Tan
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Abstract

We consider nonparametric estimation of cure-rate based on mixture model under Case-1 interval censoring. We show that the nonparametric maximum-likelihood estimator (NPMLE) of cure-rate is non-unique as well as inconsistent, and propose two estimators based on the NPMLE of the distribution function under this censoring model. We present a cross-validation method for choosing a `cut-off' point needed for the estimators. The limiting distributions of the latter are obtained using extreme-value theory. Graphical illustration of the procedures based on simulated data are provided.

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Arusharka Sen, Fang Tan. 2007-01-12. Cure-rate estimation under Case-1 interval censoring. https://arxiv.org/abs/math/0701358

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