| 自适应抗差最小二乘估计 |
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| 引用本文： | 杨元喜.自适应抗差最小二乘估计[J].测绘学报,1996,25(3):206-211. |
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| 作者姓名： | 杨元喜 |
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| 作者单位： | 郑州测绘学院 |
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| 摘 要： | 抗差估计与最小二乘估计在相应条件下各具优点。特定的抗差估计极值函数只在特定的污染分布条件下显示其抗差性和优效性。本文研究最小二乘估计，抗差估计以及抗差估计类之间的自适应估计问题。重点讨论了适于测量平差计算的误差分布检验量以及自适应抗差极值函数和权函数的构造与选择，最后人出了自适应抗差最小二科解算积式。
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| 关 键 词： | 抗差估计 抗差 最小二乘 自适应解 测量误差 |
ADAPTIVELY ROBUST LEAST SQUARES ESTIMATION |
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| Yang Yuanxi Zhengzhou Institute of Surveyign and Mapping,.ADAPTIVELY ROBUST LEAST SQUARES ESTIMATION[J].Acta Geodaetica et Cartographica Sinica,1996,25(3):206-211. |
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| Authors: | Yang Yuanxi Zhengzhou Institute of Surveyign and Mapping |
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| Institution: | Yang Yuanxi Zhengzhou Institute of Surveyign and Mapping,450052) |
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| Abstract: | Robust and least squares estimators have their own merits and demerits in correspond ing conditions. The robustness and efficiency of the same kind robust estimators are quite different with the degree of the risk functions fitting to the contaminated distributions of observation er rors. An adaptive estimation procedure is established in this paper, between the least squares eati mator and particular robust ones. The emphasis is on the constructing of test functins of error dis tribution which are suitable to geodetic adjustment, and the choice of robust rick functions as well as equivalent weights.The adaptive calculation procedures for the robust least squares estimation are given at last. |
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| Keywords: | Robust estimation Robust least squares estimation Adaptive calculation Equivalent weight |
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