Cure-rate estimation under Case-1 interval censoring

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dc.creatorSen, Arusharka
dc.creatorTan, Fang
dc.date2007-01-12
dc.date.accessioned2026-07-07T08:08:37Z
dc.date.available2026-07-07T08:08:37Z
dc.descriptionWe 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.
dc.description18 pages, 5 figures
dc.identifierhttps://arxiv.org/abs/math/0701358
dc.identifierhttp://arxiv.org/abs/math/0701358
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131323
dc.subjectStatistics Theory
dc.subject62N01; 62N02
dc.titleCure-rate estimation under Case-1 interval censoring
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