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《Journal of Geodesy and Geodynamics》 2007-01
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STATISTIC CHARACTERISTICS OF PARAMETRIC COMPONENTS OF LEAST-SQUARE KERNEL ESTIMATOR OF NON-LINEAR SEMIPARAMETRIC MODEL

Zhang Songlin1),Zhang Kun2) and Wang Xinzhou3)1)Department of Surveying and Geomatics, Tongji University, Shanghai 2000922)Key Laboratory of Geographic Information Science, School of Resources and Environment Science, East China Normal University,Shanghai 2000623)Hazard Monitoring and Prevention Research Center, Wuhan University, Wuhan 430079  
The statistic properties of parametric components of least-square kernel estimator of non-linear semiparametric models under certain regular conditions is analyzed, the results show that the estimation of parametric component is biased and variance is asymptotic normal,finally the asymptotic variance formulea are deduced.
【Fund】: 国家自然科学基金(40604001);; 现代工程测量国家测绘局重点实验室开放基金(ES-SBSM-(06)-11)
【CateGory Index】: O212.1
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【Citations】
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1 Ding Shijun and Tao Benzao(School of Geodesy and Geomatics, Wuhan University, Wuhan 430079);KERNEL SMOOTHING ESTIMATE OF SEMIPARAMETRICMODEL AND SIMULATION ANALYSIS[J];Crustal Deformation and Earthquake;2004-04
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3 Zhang Songlin1) and Zhang Kun2) 1)Department of Surveying and Geomatics, Tongji University, Shanghai 200092 2)Key Laboratory of Geographic Information Science, School of Resources and Environment Science, East China Normal University, Shanghai 200062;DIRECT ESTIMATION FORMULAE OF LEAST-SQUARE KERNEL ESTIMATOR OF NONLINEAR SEMIPARAMETRIC MODELS[J];Journal of Geodesy and Geodynamics;2006-02
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7 HU Zhi-gang1,2,HUA Xiang-hong1,2(1.Research Center for Hazard Monitoring and Prevention,Wuhan University,Wuhan 430079,China; 2.School of Geodesy and Geomatics,Wuhan University,Wuhan 430079,China);Levenberg-Marquarat algorithm and its application in parameter estimation of the surving models[J];Engineering of Surveying and Mapping;2008-04
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