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残差自适应回归MGM(1,n)
引用本文:陈西江,鲁铁定.残差自适应回归MGM(1,n)[J].测绘科学,2012,37(2):36-37.
作者姓名:陈西江  鲁铁定
作者单位:1. 武汉大学测绘学院,武汉430079;武汉大学灾害监测与防治研究中心,武汉430079
2. 东华理工大学测绘工程学院
基金项目:国家自然科学基金资助项目(40874010);江西省自然科学基金资助项目;江西省教育厅科技资助项目;地球空间环境与大地测量教育部重点实验室开放基金资助项目(080101)
摘    要:鉴于MGM(1,n)在预测过程中,不同变量的拟合及预测残差差距较大,本文将自适应回归模型引入到不同变量的残差估计中,对整体的残差起到平滑的作用,从而抑制了残差的上扬趋势,经过实例分析,残差自适应回归MGM(1,n)的预测精度得到了明显的提高。

关 键 词:MGM(  n)  回归模型  变形预测  残差自适应回归

MGM ( 1, n) based on adaptive regression of residual
CHEN Xi-jiang , LU Tie-ding.MGM ( 1, n) based on adaptive regression of residual[J].Science of Surveying and Mapping,2012,37(2):36-37.
Authors:CHEN Xi-jiang  LU Tie-ding
Institution:③(①School of Geodesy & Geomatics,Wuhan University,Wuhan 430079,China;② Hazard monitoring & prevention Research Center,Wuhan University,Wuhan,430079,China;③ Institute of surveying and mapping,East china institute of technology,Jiangxi fuzhou 344000,China)
Abstract:In view of the face that with the forecast of MGM(1,n),the gap between simulation and prediction residual of different variables is big,adaptive regression model was introduced to the residual estimates of different variables in the paper.The overall residual became smoothing,so the rising trend of residuals was restrained.The simulation results showed that the forecast accuracy of residual adaptive regression MGM(1,n) was improved significantly.
Keywords:MGM(1  n)  regression model  prediction of deformation  residual adaptive regression
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