Direct use of regression quantiles to construct confidence sets in linear models
成果类型：
Article
署名作者：
Zhou, KQ; Portnoy, SL
署名单位：
University of Illinois System; University of Illinois Urbana-Champaign
刊物名称：
ANNALS OF STATISTICS
ISSN/ISSBN：
0090-5364
发表日期：
1996
页码：
287-306
关键词：
摘要：
Direct use of the empirical quantile function provides a standard distribution-free approach to constructing confidence intervals and confidence bands for population quantiles. We apply this method to construct confidence intervals and confidence bands for regression quantiles and to construct prediction intervals based on sample regression quantiles. Comparison of the direct method with the studentization and the bootstrap methods are discussed. Simulation results show that the direct method has the advantage of robustness against departure from the normality assumption of the error terms.