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http://hdl.handle.net/1942/183
Title: | Estimation and bootstrap with censored data in fixed design nonparametric regression | Authors: | VAN KEILEGOM, Ingrid VERAVERBEKE, Noel |
Issue Date: | 1997 | Source: | 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. | Document URI: | http://hdl.handle.net/1942/183 | DOI: | 10.1023/A:1003166728321 | Type: | Journal Contribution |
Appears in Collections: | Research publications |
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