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Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/183

Title: Estimation and bootstrap with censored data in fixed design nonparametric regression
Authors: VAN KEILEGOM, Ingrid
VERAVERBEKE, Noel
Keywords: Mathematical Statistics
Non and semiparametric methods
Issue Date: 1997
Citation: ANNALS OF THE INSTITUTE OF STATISTICAL MATHEMATICS, 49. p. 467-491
Abstract: We study Beran's extension of the Kaplan-Meier estimator for thesituation of right censored observations at fixed covariate values. Thisestimator for the conditional distribution function at a given value of thecovariate involves smoothing with Gasser-Müller weights. We establishan almost sure asymptotic representation which provides a key tool forobtaining central limit results. To avoid complicated estimation ofasymptotic bias and variance parameters, we propose a resampling methodwhich takes the covariate information into account. An asymptoticrepresentation for the bootstrapped estimator is proved and the strongconsistency of the bootstrap approximation to the conditional distributionfunction is obtained.
URI: http://hdl.handle.net/1942/183
DOI: 10.1023/A:1003166728321
Type: Journal Contribution
Appears in Collections: Research publications

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