| 测量平差模型的抗差最小二乘解及影响函数 |
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| 引用本文： | 杨元喜.测量平差模型的抗差最小二乘解及影响函数[J].测绘学院学报,1994(2). |
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| 作者姓名： | 杨元喜 |
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| 摘 要： | 抗差Ｍ估计是使用最广泛、计算较简明的抗差估计法。基于多维Ｍ估计原理，本文建立了经典测量平差函数模型的抗差解，并推导出相应的误差影响函数；为了使抗差估计适于不同类型以及不同先验精度的各类观测值的混合平差，将使用等价权原理构造抗差最小二乘解式。
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| 关 键 词： | 抗差估计 抗差最小二乘解式 影响函数 等价权 |
Robust LS Estimation for Classical Adjustment Models |
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| Yang Yuanxi.Robust LS Estimation for Classical Adjustment Models[J].Journal of Institute of Surveying and Mapping,1994(2). |
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| Authors: | Yang Yuanxi |
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| Institution: | Yang Yuanxi |
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| Abstract: | Robust M estimation is widely used for its robustness and simple calculation procedure. Based on the principle of multidimensional M estimation, the robust estimators of classical adjustment models are established. The corresponding influence functions of the estimators are derived, An equivalent weight principle is used in constructing the robust estimator for combined adjustments with various priori pricision,and various kinds of observations. |
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| Keywords: | Robust estimation Robust LS estimation Influence function Equivalent weight |
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