| 一种新的稳健估计方法的权函数选取 |
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| 引用本文： | 脱立文,吴友平.一种新的稳健估计方法的权函数选取[J].东北测绘,2008,31(1):181-182,185. |
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| 作者姓名： | 脱立文 吴友平 |
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| 作者单位： | [1]武警黄金部队第一总队第三支队,黑龙江哈尔滨150086 [2]桂林工学院土木工程系,广西桂林541004 |
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| 摘 要： | 介绍了利用误差分布律的概率密度函数定义权函数的一种稳健估计方法。首先从理论上阐述了此种稳健方法的计算步骤，并通过实例同最小二乘法和几种稳健估计方法（Huber估计法、Hampel估计法、丹麦估计法）作了比较；证明了此种方法的优越性。
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| 关 键 词： | 粗差 稳健估计 概率密度函数 权函数 |
| 文章编号： | 1672-5867（2008）01-0181-02 |
| 收稿时间： | 2006-11-04 |
Weighting Function Selection of a New Robust Estimation Method |
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| TUO Li - wen, WU You - ping.Weighting Function Selection of a New Robust Estimation Method[J].Northeast Surveying and Mapping,2008,31(1):181-182,185. |
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| Authors: | TUO Li - wen WU You - ping |
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| Institution: | TUO Li - wen, WU You - ping ( 1. The Third Detachment of the First General Gold Party, Chinese People＇ s Armed Police Force, Harbin 150086, China; 2. Civil Engineering Department, Guilin University of Technology, Guilin 541004, China) |
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| Abstract: | This paper introduced a new robust estimation method for defining weighting function by probability density function using error distribution law. First, it theoretically discussed the calculation steps of the robust method. Then it compared the least square method with several robust estimation methods （ Huber estimation, Hampel estimation, and Danish estimation） through practice. Finally, it proved the superiority of this method. |
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| Keywords: | gross error robust estimation probability density function weight function |
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