4.6 Article

Quantile regression models for survival data with missing censoring indicators

Journal

STATISTICAL METHODS IN MEDICAL RESEARCH
Volume 30, Issue 5, Pages 1320-1331

Publisher

SAGE PUBLICATIONS LTD
DOI: 10.1177/0962280221995986

Keywords

Kernel smoother; missing censoring indicator; quantile regression; survival data; weighted estimating equations

Funding

  1. MOE (Ministry of Education in China) Project of Humanities and Social Sciences [19YJC910004]
  2. National Natural Science Foundation of China (NSFC) [12071164]
  3. National Natural Science Foundation of China [11901200, 71931004]
  4. Shanghai Pujiang Program [19PJ1403400]
  5. Fundamental Research Funds for the Central Universities

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The paper discusses the quantile regression model for survival data with missing censoring indicators, proposes two weighted estimating equations based on the augmented inverse probability weighting technique, and establishes asymptotic properties of the resultant estimators and resampling-based inference procedures. The performance of the proposed approaches is investigated in simulation studies and a real data application.
The quantile regression model has increasingly become a useful approach for analyzing survival data due to its easy interpretation and flexibility in exploring the dynamic relationship between a time-to-event outcome and the covariates. In this paper, we consider the quantile regression model for survival data with missing censoring indicators. Based on the augmented inverse probability weighting technique, two weighted estimating equations are developed and corresponding easily implemented algorithms are suggested to solve the estimating equations. Asymptotic properties of the resultant estimators and the resampling-based inference procedures are established. Finally, the finite sample performances of the proposed approaches are investigated in simulation studies and a real data application.

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