Confidence bands for hazard rates under random censorship

Ming-Yen Cheng, Peter Hall, Dongsheng Tu

Research output: Contribution to journalArticlepeer-review

Abstract

We suggest a completely empirical approach to the construction of confidence bands for hazard functions, based on smoothing the Nelsen-Aalen estimator. In particular, we introduce a local bandwidth-choice method. Our approach uses empirical information about both the survival rate and the censoring rate, and employs undersmoothing to alleviate difficulties caused by bias. We use both Edgeworth expansion and numerical simulation, the former to develop a basic formula and the latter to modify it for general use.

Original languageEnglish
Pages (from-to)357–366
JournalBiometrika
Volume93
Issue number2
DOIs
Publication statusPublished - Jun 2006

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