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Gauss因果模型中因果效应识别方法的比较
引用本文:赵慧,郑忠国.Gauss因果模型中因果效应识别方法的比较[J].数学物理学报(A辑),2008,28(5):808-817.
作者姓名:赵慧  郑忠国
作者单位:[1]华中师范大学数学与统计学学院,武汉430079 [2]中国科学院数学与系统科学研究院,北京100190 [3]北京大学数学科学学院,北京100871
基金项目:国家自然科学基金,中国博士后科学基金
摘    要:一个Gauss因果模型中常常存在不只一种识别因果效应的方法, 不同的方法对应的估计可能不同. 该文对Pearl等人提出的前门准则, 后门准则,工具变量准则等识别方法的估计精度进行了分析比较, 并给出了相应的模拟结果, 为实践中选择更优的识别准则提供了依据.

关 键 词:Gauss因果模型  因果效应  前门准则  后门准则  工具变量
收稿时间:2006-03-28
修稿时间:2008-01-20

Comparing Identifiability Criteria for Causal Effects in Gaussian Causal Models
Zhao Hui,Zheng Zhongguo.Comparing Identifiability Criteria for Causal Effects in Gaussian Causal Models[J].Acta Mathematica Scientia,2008,28(5):808-817.
Authors:Zhao Hui  Zheng Zhongguo
Institution:(1. Department of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079; 2. Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190; 3. School of Mathematical Sciences, Peking University, Beijing 100871$)
Abstract:In a Gaussian causal model, there may exist several criteria for the identification of the same causal effect, but the corresponding estimators may be different from each other. This paper consideres three popular identifiability criteria, front-door, back-door and instrumental variables criteria for causal effects, compares their estimate efficiencies and gives some simulations. These results can offer guidances for choosing better identifiability criterion in practice.
Keywords:Gaussian causal modelszz  Causal effectszz  Front-door criterionzz  Back-door criterionzz  Instrumental variableszz
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