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|Title: ||Estimation and bootstrap with censored data in fixed design nonparametric regression|
|Authors: ||VAN KEILEGOM, Ingrid|
|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.|
|Type: ||Journal Contribution|
|Appears in Collections: ||Research publications|
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