Bootstrapping the conditional survival function estimator in the partial Koziol-Green model
Authors:
Roel Braekers a;
Noël Veraverbeke a
| Affiliation: | a Limburgs Universitair Centrum, Diepenbeek, Belgium |
DOI:
10.1080/10485250500038330
Publication Frequency:
8 issues per year
Subjects:
Mathematical Economics;
Mathematical Finance;
Medical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
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Abstract
In the partial Koziol-Green regression model, the lifetime variable may be censored by two types of censoring variables. One is called informative because it satisfies the Koziol-Green assumption on proportionality of hazards and the other one is general. Braekers and Veraverbeke proposed a non-parametric estimator for the conditional lifetime distribution and obtained a Gaussian approximation for the corresponding process. In the present paper, we propose an appropriate resampling scheme and show that this leads to a valid bootstrap approximation for the process.
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| Keywords: Bootstrap; Fixed design; Informative censoring; Nonparametric regression; Proportional hazards; Right censoring; Weak convergence |
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