| 平差参数的抗差特征根估计 |
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| 引用本文： | 归庆明,张建军,易维勇.平差参数的抗差特征根估计[J].测绘学院学报,1998(1). |
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| 作者姓名： | 归庆明 张建军 易维勇 |
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| 作者单位： | 解放军测绘学院!郑州450052 |
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| 摘 要： | 在有偏估计的特征根方法基础上 ,利用等价权方法 ,提出一种新的估计—抗差特征根估计。它既能有效地克服设计阵复共线性的影响 ,又可显著地抵抗粗差的干扰。从而提高了参数估值的准确性、稳定性和可靠性。
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| 关 键 词： | 特征根估计 抗差特征根估计 等价权原理 |
Robust Latent Root Estimation for Adjustment Parameters |
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| Gui Qingming,Zhang Jianjun,Yi Weiyong.Robust Latent Root Estimation for Adjustment Parameters[J].Journal of Institute of Surveying and Mapping,1998(1). |
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| Authors: | Gui Qingming Zhang Jianjun Yi Weiyong |
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| Institution: | Gui Qingming Zhang Jianjun Yi Weiyong |
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| Abstract: | Biased estimator is a kind of important method widely used to estimate the unknown parameters in adjustment model. It can effectively overcome the difficulty caused by multicollinearity. However, the biased estimator is nonrobust, and can easily be influenced by outliers. In this paper, a robust biased estimation method was developed based on the latent root estimation and by means of the equivalent weight method. The most attractive advantage of this method is that it can overcome the multicollinearity and resist to outliers simultanously. |
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| Keywords: | Latent root estimator Robust latent root estimator Principle of equivalent weight |
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