| 半参数测量平差模型与系统误差处理 |
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| 引用本文： | 潘雄,刘旭春,刘立龙.半参数测量平差模型与系统误差处理[J].北京测绘,2006(1):36-39. |
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| 作者姓名： | 潘雄 刘旭春 刘立龙 |
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| 作者单位： | 中国地质大学(北京)土地科学系,北京,100083;北京建筑工程学院测绘工程系,北京,100044;桂林工学院土木工程系,广西,桂林,541004 |
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| 摘 要： | 考虑半参数测量模型L=Bx+S+Δ,x$Rd为未知回归参数,S为未知Borel函数。本文首先利用自然样条函数法,找到符合条件的非参数自然插值样条函数。其次利用偏残差法并综合最小二乘法,导出了这种平差方法的解算公式。最后,用一个算例说明了此方法的优越性。
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| 关 键 词： | 半参数平差模型 核函数 系统误差 |
| 文章编号： | 1007-3000(2006)01-4 |
| 收稿时间： | 2005-10-08 |
| 修稿时间： | 2005年10月8日 |
Semiparametric Survey Adjustment Models and Processing of Problems with Systematic Errors |
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| PAN Xiong,LIU Xu-chun,LIU lilong.Semiparametric Survey Adjustment Models and Processing of Problems with Systematic Errors[J].Beijing Surveying and Mapping,2006(1):36-39. |
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| Authors: | PAN Xiong LIU Xu-chun LIU lilong |
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| Institution: | 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 |
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| Abstract: | Considering the Semiparametric surveying adjustment models ,is a d-vector of unknown parameters,is an unknown Borel function. Firstly, using natural cubic spline methods, find natural cubic spline function of nonparametric component . Secondly, the estimators of parameters and are derived by using the partial residual and least square method, discuss the approach of bandwidth choice in the Semiparametric surveying adjustment models; Finally, the result obtained by the new method corresponds with that by the least squares 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 the adjustment method of least squares. |
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| Keywords: | semiparametric adjustment models kernal function systematic Errors |
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