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大坝变形变系数回归建模
引用本文:卢骏,戴吾蛟,章浙涛.大坝变形变系数回归建模[J].武汉大学学报(信息科学版),2015,40(1):139-142.
作者姓名:卢骏  戴吾蛟  章浙涛
作者单位:1中南大学测绘与国土信息工程系湖南 长沙 410083;2湖南省精密工程测量与形变灾害监测重点实验室湖南 长沙 410083;3湖南地科资源利用工程设计有限公司湖南 长沙 410007
基金项目:国家自然科学基金资助项目(41074004);国家973计划资助项目(2013CB733303)~~
摘    要:在变形分析建模中常采用回归分析建模,但普通的回归模型是一种静态的模型,当变形体结构或物理性质发生变化时,普通线性回归所建立的静态模型将不再适用。变系数回归模型是一种动态模型,有着更强的灵活性和适应性,因此,将变系数回归引入大坝变形分析建模中,采用局部线性估计的方法进行系数拟合。仿真和大坝变形建模实验表明,变系数回归得到的大坝变形模型优于普通的线性回归模型,预测精度更高。

关 键 词:变系数回归模型    局部线性估计    回归分析    变形建模
收稿时间:2014-07-08

Modeling Dam Deformation Using Varying Coefficient Regression
LU Jun;DAI Wujiao;ZHANG Zhetao.Modeling Dam Deformation Using Varying Coefficient Regression[J].Geomatics and Information Science of Wuhan University,2015,40(1):139-142.
Authors:LU Jun;DAI Wujiao;ZHANG Zhetao
Institution:1Department of Surveying Engineering & Geo-informatics Central South University Changsha 410083 China;2Key Lab of Precise Engineering Surveying g. Deformation Disaster Monitoring of Hunan Province Changsha 410083 China;3Resource Utilization and Engineering Design of Earth Science Corporation Changsha 410007 China
Abstract:Regression analysis is often used in deformation analysis modeling,however,it is a static model. When the structure or physical properties of the monitoring object change,the static model will no longer be applicable. However,a varying coefficient regression model is a dynamic model and has greater flexibility and adaptability. So varying coefficient regression is introduced into dam deformation analysis. Local linear estimation is used to fit the varying coefficients. Both a simulation experiment and a real dam deformation monitoring data experiment show that a dam deformation model using varying coefficient regression is better than that using ordinary linear regression;and more precise when predicting deformation.
Keywords:
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