Pseudo-partial likelihood for proportional hazards models with biased-sampling data

• 成果类型: Article
• 署名作者: Tsai, Wei Yann
• 署名单位: Columbia University
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asp026
• 发表日期: 2009
• 页码: 601615
• 关键词: nonparametric-estimation; random truncation; survival-data; censored-data; regression; probability; estimator

摘要

We obtain a pseudo-partial likelihood for proportional hazards models with biased-sampling data by embedding the biased-sampling data into left-truncated data. The log pseudo-partial likelihood of the biased-sampling data is the expectation of the log partial likelihood of the left-truncated data conditioned on the observed data. In addition, asymptotic properties of the estimator that maximize the pseudo-partial likelihood are derived. Applications to length-biased data, biased samples with right censoring and proportional hazards models with missing covariates are discussed.