The purpose of this paper is to derive confidence bands for quantile functions using a nonparametric likelihood ratio approach. The method is easy to implement and has several appealing properties. It applies to right-censored and left-truncated data, and it does not involve density estimation or even require the existence of a density. Previous approaches (e.g., bootstrap) have imposed smoothness conditions on the density. The performance of the proposed method is investigated in a Monte Carlo study, and an application to real data is given.
@article{1032894455,
author = {Li, Gang and Hollander, Myles and McKeague, Ian W. and Yang, Jie},
title = {Nonparametric likelihood ratio confidence bands for quantile functions from incomplete survival data},
journal = {Ann. Statist.},
volume = {24},
number = {6},
year = {1996},
pages = { 628-640},
language = {en},
url = {http://dml.mathdoc.fr/item/1032894455}
}
Li, Gang; Hollander, Myles; McKeague, Ian W.; Yang, Jie. Nonparametric likelihood ratio confidence bands for quantile functions from incomplete survival data. Ann. Statist., Tome 24 (1996) no. 6, pp. 628-640. http://gdmltest.u-ga.fr/item/1032894455/