Lifetime Data Analysis

, Volume 18, Issue 2, pp 177–194

Censored quantile regression for residual lifetimes


DOI: 10.1007/s10985-011-9212-2

Cite this article as:
Kim, MO., Zhou, M. & Jeong, JH. Lifetime Data Anal (2012) 18: 177. doi:10.1007/s10985-011-9212-2


We propose a regression method that studies covariate effects on the conditional quantiles of residual lifetimes at a certain followup time point. This can be particularly useful in cancer studies, where more patients survive cancers initially and a patient’s residual life expectancy is used to compare the efficacy of secondary or adjuvant therapies. The new method provides a consistent estimator that often exhibits smaller standard error in real and simulated examples, compared to the existing method of Jung et al. (2009). It also provides a simple empirical likelihood inference method that does not require estimating the covariance matrix of the estimator or resampling. We apply the new method to a breast cancer study (NSABP Protocol B-04, Fisher et al. (2002)) and estimate median residual lifetimes at various followup time points, adjusting for important prognostic factors.


CancerEmpirical likelihoodQuantile regressionResidual lifetime regressionSurvival analysisWilks’ theorem

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.Cincinnati Children’s Medical CenterCincinnatiUSA
  2. 2.University of KentuckyLexingtonUSA
  3. 3.University of PittsburghPittsburghUSA