Global bahadur representation for nonparametric censored regression quantiles and its applications

Efang Kong, Oliver Linton, Yingcun Xia

Research output: Contribution to journalArticleResearchpeer-review

7 Citations (Scopus)

Abstract

This paper is concerned with the nonparametric estimation of regression quantiles of a response variable that is randomly censored. Using results on the strong uniform convergence rate of U-processes, we derive a global Bahadur representation for a class of locally weighted polynomial estimators, which is sufficiently accurate for many further theoretical analyses including inference. Implications of our results are demonstrated through the study of the asymptotic properties of the average derivative estimator of the average gradient vector and the estimator of the component functions in censored additive quantile regression models.

Original languageEnglish
Pages (from-to)941-968
Number of pages28
JournalEconometric Theory
Volume29
Issue number5
DOIs
Publication statusPublished - Oct 2013
Externally publishedYes

Cite this