Nonparametric estimation for right-censored length-biased data: a pseudo-partial likelihood approach

• 成果类型: Article
• 署名作者: Luo, Xiaodong; Tsai, Wei Yann
• 署名单位: Icahn School of Medicine at Mount Sinai; Columbia University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asp064
• 发表日期: 2009
• 页码: 873886
• 关键词: product-limit estimator; time

摘要

To estimate the lifetime distribution of right-censored length-biased data, we propose a pseudo-partial likelihood approach that allows us to derive two nonparametric estimators. With its closed-form estimators and explicit limiting variances, this approach retains the simplicity of conditional analysis, and has only a small efficiency loss compared with the unconditional analysis. Under some regularity conditions, we show that the two estimators are uniformly consistent and converge weakly to Gaussian processes. A simulation study demonstrates that the proposed estimators have satisfactory finite-sample performance. Application to an Alzheimer's disease study is reported.