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引用本文:丁士俊,姜卫平.������С���˰����ģ�ͽ⼰��������ͳ������[J].大地测量与地球动力学,2010,30(6):47-50.
作者姓名:丁士俊  姜卫平
作者单位:1. 武汉大学测绘学院,武汉,430079;国家测绘局精密工程测量与工业测量重点实验室,武汉,430079
2. 武汉大学卫星导航定位系统技术研究中心,武汉,430079
基金项目:国家自然科学基金,国家863计划项目
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SOLUTION OF SEMIPARAMETRIC MODEL WITH DERAILIZED LEAST SQUARE AND STATISTIC CHARACTERISTICS OF ESTIMATOR
Ding Shijun,Jiang Weiping.SOLUTION OF SEMIPARAMETRIC MODEL WITH DERAILIZED LEAST SQUARE AND STATISTIC CHARACTERISTICS OF ESTIMATOR[J].Journal of Geodesy and Geodynamics,2010,30(6):47-50.
Authors:Ding Shijun  Jiang Weiping
Institution:1)School of Geodesy and Geomation, Wuhan University, Wuhan 4300792)GNSS Engineering Research Center of Wuhan University, Wuhan 4300793)Key Laboratory of Precise Engineering and Industry Surveying State Bureau of Surveying and Mapping,\= Wuhan 430079
Abstract:The semiparametric model is a combination of classical linear model and nonparametric regression model. The two didfferent computing methods on the resolution of the semiparametric model under the principle of penalized least squares are discussed and the computation formulas of the resolutions and estimate accuracy are detailed.On the basis of the statistic characteristics of random error,the statistic characteristics of the semiparametric model estimators are discussed about mathematical expection,variances of estimates and mean square error of the parameter estimate.Finally, a simulated example is demonstrated and some conclusions are drawn.
Keywords:semiparametric model  nonparametric model  penalized least squares  statistic characteristic  random error
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