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《Science of Surveying and Mapping》 2004-03
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Two stage estimation of parameter for semiparametric survey ad-justment models

PAN Xiong SUN Hai-yan (School of Geodesy and Geo-matics, Wuhan University, Wuhan 430079; Department of Mathematics and Physical , Wuhan Polytechnic University, Wuhan 430023)  
Considering the Semiparametric surveying adjustment models L = Bx + S + A,x ∈ Rd is a d-vector of unknown parameters, S is an unknown Borel function. Firstly, using natural cubic spline methods, find natural cubic spline funcion of nonpara-metric component S. Secondly, the estimators of parameters β and S are derived by using the kernel function and least square method, and we also discuss the approach of bandwidth choice in the Semi-parametric surveying adjustment models;Finally,a simulated adjustment problem is constructed to explain this method. The new method presented in this paper shows an effective way of solving the problem, the estimated values are nearer to their theoretical ones than by the adjustment method of least squares.
【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】: P207
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【References】
Chinese Journal Full-text Database 3 Hits
1 PAN Xiong~(①②),SUN Hai-yan~①(①School of Geodesy and Geomatics,Wuhan University,Wuhan 430079;②Department of Mathematics and Physical,Wuhan Polytechnic University,Wuhan 430023);Penalized least squares for semiparametric models under stochastic censored[J];Science of Surveying and Mapping;2005-04
2 PAN Xiong ①②,FU Zong-tang①(①Department of land Science,China University of Geosciences,Beijing,100083;②Department of Mathematics and Physical,Wuhan Polytechnic University,Wuhan 430023);Two-step estimation of parameters for semi-parametric adjustment models[J];Science of Surveying and Mapping;2006-05
3 PAN Xiong~(1,2),FU Zong-tang~1(1.Department of Land Science and technology,China University of Geosciences,Beijing 100083,China;2.Department of Mathematical and Physical,Wuhan Polytechnic University,Wuhan 430023,China);Detection and Disposal of Systematic Errors[J];Control and Instruments in Chemical Industry;2006-01
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 GUI Qingming (Zheng Zhou Institute of Surveying and Mapping, Zheng Zhou, 450052);A New Selection Method For Ridge Parameter[J];Engineering of Surveying and Mapping;1997-01
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4 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);Parameter estimation of least squares collocation[J];Engineering of Surveying and Mapping;2004-02
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【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 PAN Xiong1 LIU Xu-chun2 LIU lilong3(1 Department of land Science, China University of Geosciences, Beijing, 100083; 2 Surveying and Mapping Engineering Department , Beijing Institute of Civil Engineering and architecture,Beijing, 100044; 3 Department of Civil Engineering, Guilin University of Technology, Guilin, 541004);Semiparametric Survey Adjustment Models and Processing of Problems with Systematic Errors[J];Beijing Surveying and Mapping;2006-01
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