Cure-rate estimation under Case-1 interval censoring

Details Cure-rate estimation under Case-1 interval censoring Cure-rate estimation under Case-1 interval censoring

2007-01-12

arxiv.org/abs/math/0701358v1

Mathematics

Statistics Theory

18 pages, 5 figures

Scientific paper

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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