| M估计的权函数选取及其抗差性比较 |
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| 引用本文： | 王家帮,吴友平,夏元平,脱立文.M估计的权函数选取及其抗差性比较[J].北京测绘,2008(1):8-10. |
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| 作者姓名： | 王家帮 吴友平 夏元平 脱立文 |
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| 作者单位： | 1. 桂林工学院,土木工程系,广西,桂林,541004
2. 武警黄金部队,第三支队四中队,黑龙江,哈尔滨,150086 |
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| 摘 要： | M估计的目的就是为了实现参数估计的稳健性，为了实现这一目的，一般遵循大误差以小权，小误差以大权，等价权公式可以通过数值模拟经验地确定的原则。对几种不同的估计方法的权函数选取进行了详述，并将参数稳健估计的思想应用到半参数模型估计中，提出了半参数模型抗差广义补偿最小二乘估计；通过算例对其稳健性进行了比较。得出了结论。
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| 关 键 词： | M估计 权函数 粗差 半参数模型 抗差广义补偿最小二乘法 |
Selection of M-estimated Weight Functions and Robust Comparison |
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| WANG Jia-bang,WU You-ping,XIA Yuan-ping,TUO Li-wen.Selection of M-estimated Weight Functions and Robust Comparison[J].Beijing Surveying and Mapping,2008(1):8-10. |
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| Authors: | WANG Jia-bang WU You-ping XIA Yuan-ping TUO Li-wen |
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| Institution: | WANG Jia-bang WU You-ping XIA Yuan-ping TUO Li-wen( 1.Department of Civil Engineering, Guilin University of Technology, Guilin, Guangxi, 541004; 2. Armed Police Force 3rd detachment 4th squadrons gold, Haerbin, Heilongjiang, 150086) |
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| Abstract: | In this paper,several different estimation methods of weight function are introduced and the idea of parameters stability estimation is applied to the semi-parametric estimation model. Finally,a semi-parametric model of robust generalized compensation least squares estimation is presented. |
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| Keywords: | M Estimation Function Gross Error |
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