4.2 Article

A bootstrap approach to nonparametric regression for right censored data

Journal

Publisher

KLUWER ACADEMIC PUBL
DOI: 10.1023/A:1014644700806

Keywords

bootstrap; Beran's estimate; censoring; confidence bands; confidence intervals; Kaplan-Meier estimate; nonparametric regression; quantile regression

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In this paper a two-stage bootstrap method is proposed for nonparametric regression with right censored data. The method is applied to construct confidence intervals and bands for a conditional survival function. Its asymptotic validity is established using counting process techniques and martingale central limit theory. The performance of the bootstrap method is investigated in a Monte Carlo study. An illustration is given using a real data.

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