On propensity score matching with a diverging number of matches

• 成果类型: Article
• 署名作者: He, Yihui; Han, Fang
• 署名单位: Peking University; University of Washington; University of Washington Seattle
• 刊物名称: BIOMETRIKA
• ISSN/ISSBN: 0006-3444
• DOI: 10.1093/biomet/asae026
• 发表日期: 2024
• 页码: 14211428
• 关键词: semiparametric estimation; sample properties; estimators; parameters

摘要

This paper re-examines the work of on propensity score matching for average treatment effect estimation. We explore the asymptotic behaviour of these estimators when the number of nearest neighbours, M, grows with the sample size. It is shown, while not surprising, but technically nontrivial, that the modified estimators can improve upon the original fixed M-estimators in terms of efficiency. Additionally, we demonstrate the potential to attain the semiparametric efficiency lower bound when the propensity score admits some special structures, echoing the insight of .