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结合样本分割与系统方程的稳健性统计检验方法
引用本文:马键,胡毅,刘金全. 结合样本分割与系统方程的稳健性统计检验方法[J]. 系统工程理论与实践, 2020, 40(6): 1371-1381. DOI: 10.12011/1000-6788-2020-0432-11
作者姓名:马键  胡毅  刘金全
作者单位:1. 广州大学 经济与统计学院, 广州 510006;2. 中国科学院大学 经济与管理学院, 北京 100190;3. 中国科学院 大数据挖掘与知识管理重点实验室, 北京 100190
基金项目:国家自然科学基金(71503056,71873042);国家社会科学基金重点项目(19AJY005);国家留学基金委员会(201608440100)
摘    要:结合二元样本分割与系统方程方法,提出一种新的稳健性统计检验.首先建立理论模型,分析结构方程模型中条件外生性假设与参数解释的关系,确定备择模型的构建原则;接着提出混淆变量调整与二元样本分割两种备择模型构建方法;最后基于系统方程方法建立假设检验,并针对奇异性问题改进检验统计量.蒙特卡罗实验表明,本文的稳健性统计检验具有良好的小样本表现.以Acemoglu教授关于人口老龄化与经济增长的研究为例,应用本文方法进行检验,发现该研究的部分模型存在误设问题.

关 键 词:结构方程模型  稳健性  二元样本分割  系统方程  奇异性
收稿时间:2019-03-30

Robustness test approach combining binary sample splitting and system of equations methods
MA Jian,HU Yi,LIU Jinquan. Robustness test approach combining binary sample splitting and system of equations methods[J]. Systems Engineering —Theory & Practice, 2020, 40(6): 1371-1381. DOI: 10.12011/1000-6788-2020-0432-11
Authors:MA Jian  HU Yi  LIU Jinquan
Affiliation:1. School of Economics and Statistics, Guangzhou University, Guangzhou 510006, China;2. School of Economics and Management, University of Chinese Academy of Sciences, Beijing 100190, China;3. Key Laboratory of Big Data Mining and Knowledge Management, Chinese Academy of Sciences, Beijing 100190, China
Abstract:This article proposes a novel robustness test method which combines binary sample splitting and system of equations techniques. First, we build a structural model to analyze relationship between the conditional exogeneity assumption and the explanations of structural parameters, thus establish principles of construction of alternative models. Then, we propose two construction methods:Binary sample splitting and confounding variables adjusting. Finally, we propose a robustness test statistic which based on system of equations method. Furthermore, we adjust computation process of the test to avoid singularity issue. Our Monte Carlo experiments verify the finite sample properties of this robustness test. As an application, we analyze the model settings of an article by Professor Acemoglu, which studied the influence of aging on economic growth.
Keywords:structural equation model  robustness  binary sample splitting  system of equations  singularity  
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