Current status data with competing risks: Consistency and rates of convergence of the MLE

P. Groeneboom, M.H. Maathuis, J.A. Wellner

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Abstract

We study nonparametric estimation of the sub-distribution functions for current status data with competing risks. Our main interest is in the nonparametric maximum likelihood estimator (MLE), and for comparison we also consider a simpler "naive estimator." Both types of estimators were studied by Jewell, van der Laan and Henneman [Biometrika (2003) 90 183-197], but little was known about their large sample properties. We have started to fill this gap, by proving that the estimators are consistent and converge globally and locally at rate n
Original languageEnglish
Pages (from-to)1031-1063
Number of pages33
JournalAnnals of Statistics
Volume36
Issue number3
DOIs
Publication statusPublished - 2008

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