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《Engineering of Surveying and Mapping》 2004-02
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Parameter estimation of least squares collocation

PAN Xiong1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics ,Wuhan University ,Wuhan 430079, China;2. Dept. of mathematical and physical,Wuhan Polytechnic University ,Wuhan 430023, China)  
In this paper, based on penalized least squares, the penalized weighted sum of squares is set up, the calculation method of a positive definite regularized matrix is deduced and the corresponding results in least squares collocation model are obtained. According to the foundational properties of the random errors, how to choice a reasonable smoothing parameter and regularized matrix is studied. Concepts of confidence region in probability and method of region estimation are used. The adaptability of this technique is more flexible than the traditional model.
【Fund】: 国家自然科学基金资助项目(40274005);; 湖北省教育厅重点科研计划项目(2003X129)
【CateGory Index】: P228.4
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Chinese Journal Full-text Database 3 Hits
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3 HU Hong-chang~(①②)(①School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China;②Department of Mathematics,Hubei Normal University,Huangshi 435002,China);Application of penalized least squares estimation in gravimetry[J];Science of Surveying and Mapping;2004-05
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6 YU Cai-xia①,ZHANG Li-hua①,XU Jun①,JIN Jun①,LIN Hai-feng②(①Dept.of Hydrography and Cartography,Dalian Naval Academy,Dalian 116018,China;②Navy Publishing House,Tianjin 300450,China);Evaluating the precision of points in charts using least square[J];Science of Surveying and Mapping;2009-S1
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9 GAO Ning①,GAO Cai-yun①,XU Chang-hai②(①Department of Survey & Urban Spatial Information Engineering,Henan University of Urban Construction,Henan Pingdingshan 467044,China;②Department of Geography and Environment Science,Suzhou College,Suzhou 234000,China);Application of penalized least squares estimation in height anomaly[J];Science of Surveying and Mapping;2011-01
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2 X.H.Dang~1,Y.M.Wei~1,J.Y.Zhao~1,B.Dang~2, Y.L.Yang~1,R.T.He~1,T.H.Ding~3 (1.Civil Engineering School,Lanzhou University of Technology, Lanzhou Gansu 730050,China; 2.Construction Bureau of Kongtong District,Pingliang City, Gansu Province 744000,China; 3.Transportation Bureau of Wuwei City,Gansu 733000,China.);Subsidence analysis of tall building based on robust least square configuration[A];[C];2008
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3 XU Hui_ping 1,Haagmans R H N 2,Bruijne A J T de 2, LIU Wan_song 1 (1.Jilin University, Changchun 130026,China; 2.Faculty of Civil Engineering and Geosciences, Delft University of Technology Delft 2629 JA, The Netherlands);THE EGM96 AND ITS CHINA GRAVITY CALCULATION[J];Journal of Changchun University of Science and Technology;2001-01
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5 XIE Jun,HUANG Jian-ye(Tongji University,Shanghai200092,China);Filter Analysis of Airborne Gravimetry and Discussion on Optimal Wavelength Resolution[J];Engineering of Surveying and Mapping;2001-03
6 HU Wu-sheng 1 ,HUA Xi-sheng 2 ,BAO Xing-nan 1 (1.College of Traffic and Transportation Engineering Southeast University,Nanjing210018,China;2.College of Civil Engineering,Hehai University,Nanjing210098,China;3.Jiangsu Institute of Survey;The Test Research on Neural Networks Model Used for Transforming GPS Height[J];Engineering of Surveying and Mapping;2002-03
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