Estimation for optimal treatment regimes with survival data under semiparametric model. Issue 4 (22nd August 2020)

• Record Type: Journal Article
• Authors: Fang, Yuexin; Zhou, Yong
• Is Part Of: Communications in statistics. Volume 51:Issue 4(2022)
• Page Start: 883
• Page End: 894
• Publication Date: 2020-08-22
• Subjects: Semiparametric model -- doubly robust estimator -- A-learning estimating equations -- inverse probability weighting; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2020.1808686
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this paper, we consider a semiparametric model to find the optimal treatment regimes. A-learning type equation method is proposed to construct a doubly robust estimating equation for the parameters of interest in the optimal treatment. To overcome bias from the censoring time, we consider the inverse probability censoring weighting method in estimating equation. The resulting estimator is shown to be consistent and asymptotic normal when either the baseline effect model for covariates or the propensity score is correctly specified. Also, numerical simulations and an application with real data illustrate the proposed method.