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《Journal of Geodesy and Geodynamics》 2009-03
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GENERALIZED SHRUNKEN T-TYPE ESTIMATION IN GUASS-MARKOV MODEL

Chen Ke1),Gui Qingming2) and Yang Na1,3)1) Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 4500522) Institute of Science,Information Engineering University,Zhengzhou 450001 3) 65015 Troops,Dalian 116023  
T-type estimation is a new kind of robust estimations,which takes t-distribution as the error distribution and has some advantages in some respects.The equivalent weight form of t-type estimation is presented.A disadvantage of t-type estimation that it cannot resist ill-conditioning is analyzed.To overcome this drawback,according to the idea of the generalized shrunken type robust estimation,the generalized shrunken t-type estimation is presented,which shrinks the solution of the location parameters.Some important problems of this estimation are discussed.A numerical example shows the validity of the method presented.
【Fund】: 国家自然科学基金(40474007);; 国家杰出青年科学基金(40125013);; “基础地理信息与数字化技术”山东省重点开放实验室课题(SD040202);; 河南省自然科学基金(0511010100)
【CateGory Index】: P207
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