Rank-based inference for the accelerated failure time model

• 成果类型: Article
• 署名作者: Jin, ZZ; Lin, DY; Wei, LJ; Ying, ZL
• 署名单位: Columbia University; Columbia University; Harvard University; University of North Carolina; University of North Carolina Chapel Hill
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/90.2.341
• 发表日期: 2003
• 页码: 341353
• 关键词: right-censored data; linear-regression; resampling method; LARGE-SAMPLE; tests; survival

摘要

A broad class of rank-based monotone estimating functions is developed for the semi-parametric accelerated failure time model with censored observations. The corresponding estimators can be obtained via linear programming, and are shown to be consistent and asymptotically normal. The limiting covariance matrices can be estimated by a resampling technique, which does not involve nonparametric density estimation or numerical derivatives. The new estimators represent consistent roots of the non-monotone estimating equations based on the familiar weighted log-rank statistics. Simulation studies demonstrate that the proposed methods perform well in practical settings. Two real examples are provided.