SEMIPARAMETRIC LINEAR REGRESSION WITH AN INTERVAL-CENSORED COVARIATE IN THE ATHEROSCLEROSIS RISK IN COMMUNITIES STUDY

• 成果类型: Article
• 署名作者: Sizelove, Richard; Zeng, Donglin; Lin, Dan -yu
• 署名单位: University of North Carolina; University of North Carolina Chapel Hill; University of Michigan System; University of Michigan
• 刊物名称: ANNALS OF APPLIED STATISTICS
• ISSN/ISSBN: 1932-6157
• DOI: 10.1214/24-AOAS1881
• 发表日期: 2024
• 页码: 2295-2306
• 关键词: model

摘要

In longitudinal studies, investigators are often interested in understanding how the time since the occurrence of an intermediate event affects a future outcome. The intermediate event is often asymptomatic such that its occurrence is only known to lie in a time interval induced by periodic examinations. We propose a linear regression model that relates the time since the occurrence of the intermediate event to a continuous response at a future time point through a rectified linear unit activation function while formulating the distribution of the time to the occurrence of the intermediate event through the Cox proportional hazards model. We consider nonparametric maximum likelihood estimation with an arbitrary sequence of examination times for each subject. We present an EM algorithm that converges stably for arbitrary datasets. The resulting estimators of regression parameters are consistent, asymptotically normal, and asymptotically efficient. We assess the performance of the proposed methods through extensive simulation studies and provide an application to the Atherosclerosis Risk in Communities Study.