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半参数空间变系数模型的局部线性二阶段估计
引用本文:程慧燕,朱道元.半参数空间变系数模型的局部线性二阶段估计[J].数学的实践与认识,2017(7):292-296.
作者姓名:程慧燕  朱道元
作者单位:1. 郑州工商学院 公共基础课教学部,河南 郑州,451400;2. 东南大学 数学系,江苏 南京,210096
基金项目:河南省高等学校重点科研项目(15A110050
摘    要:针对半参数空间变系数模型,利用二阶段估计方法借助于局部线性拟合技术给出了模型中常值系数估计量的精确表达式;同时给出了实验设计方法,用于验证所提出的估计方法对估计常值系数具有满意的精度和稳定性.

关 键 词:半参数空间变系数模型  地理加权回归  二阶段估计  广义交叉确认法

The Local Linear Two Stage Estimation for Semiparametric Spatially Varying-coefficient Regression Model
CHENG Hui-yan,ZHU Dao-yuan.The Local Linear Two Stage Estimation for Semiparametric Spatially Varying-coefficient Regression Model[J].Mathematics in Practice and Theory,2017(7):292-296.
Authors:CHENG Hui-yan  ZHU Dao-yuan
Abstract:The local linear two stage estimation for fitting the semiparametric spatially varying-coefficient regression model is proposed,by which an explicit expression for estimators of the constant coefficients in the model can be obtained.Experimental design method are conducted to examine the performance of the proposed fitting procedure and the results demonstrate that the estimators for the constant coefficients are quite accurate and stable.
Keywords:semiparametric spatially varying-coefficient regression model  geographically weighted regression procedure  two stage estimation  generalized cross-validation method
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