| 基于等价方差-协方差阵的稳健最小二乘估计理论研究 |
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| 引用本文： | 刘经南,姚宜斌,施闯.基于等价方差-协方差阵的稳健最小二乘估计理论研究[J].测绘科学,2000,25(3):1-6. |
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| 作者姓名： | 刘经南 姚宜斌 施闯 |
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| 作者单位： | 武汉大学!武汉珞喻路129号，武汉430079，武汉大学!武汉珞喻路129号，武汉430079，武汉大学!武汉珞喻路129号，武汉430079 |
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| 摘 要： | 在对现有的基于等价权的稳健估计的弊端进行分析的基础上 ,建立起一套基于调整观测量方差 -协方差阵的稳健最小二乘估计理论 ,包括相关ρ函数、相关φ函数、等价方差 -协方差函数、等价方差 -协方差因子、影响函数、崩溃污染率等。通过算例证明本文所提出的基于等价方差 -协方差的稳健估计思想、模型的正确性和可行性
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| 关 键 词： | 稳健最小二乘估计 等价权 等价方差-协方差 |
| 修稿时间： | 2000-08-28 |
Theory Research on Robustified Least Squares Estimator based on Equivalent Variance-Covariance |
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| LIU Jing nan,YAO Yi bin,SHI Chuang.Theory Research on Robustified Least Squares Estimator based on Equivalent Variance-Covariance[J].Science of Surveying and Mapping,2000,25(3):1-6. |
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| Authors: | LIU Jing nan YAO Yi bin SHI Chuang |
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| Abstract: | Depend on analyzing the abuse of equivalent weights, a set of self contained theory system on robust estimation based on equivalent variance covariance are established, which include function,equivalent variance covariance function、influence function and breakdown point. And a small example is given to verify the robust model proposed in this paper are reliable and correct. |
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| Keywords: | robust estimation equivalent weights equivalent variance covariance |
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