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内生性协变量下广义变系数模型的工具变量估计
Instrumental Variable based Estimation for Generalized Varying Coefficient Models with Endogenous Covariates
【摘要】 在模型的部分协变量为内生性协变量的情况下,考虑广义变系数模型的一类估计问题.通过结合基函数逼近和一些辅助变量信息,提出了一个基于工具变量的估计过程.并得到了估计的相合性和收敛速度等渐近性质.所提出的估计方法可以有效地消除协变量的内生性对估计精度的影响,并且具有较好的有限样本性质.
【Abstract】 This paper considers the estimation for a class of generalized varying coefficient models with endogenous covariates.By combining basis function approximations with some auxiliary variables,an instrumental variable based estimation procedure is proposed.The asymptotic results of the estimator such as the consistency and the convergence rate are obtained.The proposed procedure can attenuate the effect of endogeneity in covariates,and has proved workable for finite samples.
【关键词】 广义变系数模型;
工具变量;
内生性协变量;
收敛速度;
【Key words】 Generalized varying coefficient model; instrumental variable; endogenous covariate; convergence rate;
【Key words】 Generalized varying coefficient model; instrumental variable; endogenous covariate; convergence rate;
【基金】 国家自然科学基金(11301569);重庆市基础与前沿研究计划(一般)项目(cstc2016jcyjA0151]);重庆工商大学科研启动基金项目(2015-56-06);河池学院硕士专业学位授予单位立项建设课题(2016YT001)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2017年13期
- 【分类号】O212
- 【被引频次】1
- 【下载频次】171