Cure-rate estimation under Case-1 interval censoring

2007/01/12 by Arusharka Sen, Sen, Arusharka, Fang Tan +1
Computer Science · Mathematics · #62N01 #62N02 #Bayesian Methods and Mixture Models #FOS: Mathematics #Statistical Distribution Estimation and Applications #Statistical Methods and Bayesian Inference #Statistics Theory (math.ST)

paper · pdf · doi:10.48550/arxiv.math/0701358

openalex publication_date 2007/01/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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