| 岭型组合主成分估计及误差影响 |
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| 引用本文： | 隋立芬.岭型组合主成分估计及误差影响[J].测绘学院学报,1997(1). |
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| 作者姓名： | 隋立芬 |
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| 作者单位： | 解放军测绘学院!郑州，450052 |
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| 基金项目： | 国家自然科学基金!49474206 |
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| 摘 要： | 将岭型组合主成分估计用于测量平差,定义了平差参数的岭型组合主成分估计,推导了它的验后精度─均方误差及其误差影响函数,讨论了它的优良性质,并且证明了在一定条件下,它具有比最小二乘估计和岭估计更好的抗干扰性和抗差性。最后,用实例验证了其理论的正确性。
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| 关 键 词： | 岭估计 主成分估计 影响函数 抗干扰性 抗差性 |
Ridge Combined Principal Components Estimation and Influence of Errors |
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| Sui Lifen.Ridge Combined Principal Components Estimation and Influence of Errors[J].Journal of Institute of Surveying and Mapping,1997(1). |
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| Authors: | Sui Lifen |
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| Abstract: | In this paper. the ridge combined principal components estimation of adjustment parameters is defined.The mean square error and the in fluence functions of the errors of the estimation are derived, and the some fine qualities of the estimation are discussed. Under certain conditions, it is showed that the ridge combined principal components estimation is better than the least square estimation and the ridge estimation in improving the resistance and robustness. By using a numerica1 example, it is tested and verified that the theory of the ridge combined principal components estimation is true. |
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| Keywords: | Ridge estimation Principal components estimation Influence function |
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