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《Journal of Hubei Normal University(Natural Science)》 2004-01
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Robust universal least squares estimation in linear regression model

HU Hong-chang 1,2,CHENG Wen-jing 3 (1.Department of Mathematics,Hubei Normal University,Huangshi 435002,China; 2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China; 3.Huangshi Radio & TV University,Huangshi 435002,China)  
Consider the linear regression model by the robust universal least squares method for the first time,the robust universal least squares estimator is attained.And then,its influence function and asymptotic variance-covariance matrix are investigated.In the end ,a simulation example is given,it illuminates that the robust universal least squares estimation have robustness,at the same time it excels traditional least squares estimation and the universal least squares estimation,which author put forward.
【Fund】: 国家自然科学基金资助项目 ( 4 0 2 740 0 5 );; 湖北师范学院创新项目
【CateGory Index】: O211.6
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