Regression on quantile residual life.


Journal Article

A time-specific log-linear regression method on quantile residual lifetime is proposed. Under the proposed regression model, any quantile of a time-to-event distribution among survivors beyond a certain time point is associated with selected covariates under right censoring. Consistency and asymptotic normality of the regression estimator are established. An asymptotic test statistic is proposed to evaluate the covariate effects on the quantile residual lifetimes at a specific time point. Evaluation of the test statistic does not require estimation of the variance-covariance matrix of the regression estimators, which involves the probability density function of the survival distribution with censoring. Simulation studies are performed to assess finite sample properties of the regression parameter estimator and test statistic. The new regression method is applied to a breast cancer data set with long-term follow-up to estimate the patients' median residual lifetimes, adjusting for important prognostic factors.

Full Text

Duke Authors

Cited Authors

  • Jung, S-H; Jeong, J-H; Bandos, H

Published Date

  • December 2009

Published In

Volume / Issue

  • 65 / 4

Start / End Page

  • 1203 - 1212

PubMed ID

  • 19432781

Pubmed Central ID

  • 19432781

Electronic International Standard Serial Number (EISSN)

  • 1541-0420

Digital Object Identifier (DOI)

  • 10.1111/j.1541-0420.2009.01196.x


  • eng

Conference Location

  • United States