期刊
SCIENCE CHINA-MATHEMATICS
卷 65, 期 3, 页码 583-602出版社
SCIENCE PRESS
DOI: 10.1007/s11425-019-1699-4
关键词
additive hazard model; censored data; kernel smoothing; missing at random; weighted estimating equation
资金
- National Natural Science Foundation of China [11771431, 11690015, 11926341, 11601080, 11671275]
- Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences [2008DP173182]
- Fundamental Research Funds for the Central Universities in University of International Business and Economics [CXTD10-09]
In this article, a class of weighted estimating equations is proposed for handling missing covariate data in biomedical studies. The approach effectively addresses the estimation of selection probabilities in both parametric and non-parametric modeling schemes.
Missing covariate data arise frequently in biomedical studies. In this article, we propose a class of weighted estimating equations for the additive hazard regression model when some of the covariates are missing at random. Time-specific and subject-specific weights are incorporated into the formulation of weighted estimating equations. Unified results are established for estimating selection probabilities that cover both parametric and non-parametric modeling schemes. The resulting estimators have closed forms and are shown to be consistent and asymptotically normal. Simulation studies indicate that the proposed estimators perform well for practical settings. An application to a mouse leukemia study is illustrated.
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