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Abstract Details

Activity Number: 60
Type: Topic Contributed
Date/Time: Sunday, July 29, 2012 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #304470
Title: Censored Quantile Regression with Partially Functional Effects
Author(s): Jing Qian*+ and Limin Peng
Companies: University of Massachusetts-Amherst and Emory University
Address: 715 North Pleasant St, Amherst, MA, 01003-9304, United States
Keywords: Censoring ; Martingale ; Quantile regression ; Resampling ; Varying covariate effect
Abstract:

Quantile regression offers a flexible approach to analyzing survival data, allowing each covariate effect to vary with quantiles. In practice, constancy is often found to be adequate for some covariates. In this paper, we study censored quantile regression tailored to the partially functional effect setting with a mixture of varying and constant effects. Such a model can offer a simpler view regarding covariate-survival association and, moreover, can enable improvement in estimation efficiency. We propose profile estimating equations and present an iterative algorithm that can be readily and stably implemented. Asymptotic properties of the resultant estimators are established. A simple resampling-based inference procedure is developed and justified. Extensive simulation studies demonstrate efficiency gains of the proposed method over a naive two-stage procedure. The proposed method is illustrated via an application to a recent renal dialysis study.


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