| 附有条件的参数平差模型的有偏估计 |
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| 引用本文： | 归庆明,张建军.附有条件的参数平差模型的有偏估计[J].测绘工程,2000,9(1):26-30. |
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| 作者姓名： | 归庆明 张建军 |
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| 作者单位： | 解放军测绘学院 |
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| 摘 要： | 讨论附有条件的参数平差模型参数的有偏估计问题。提出了约束岭估计和约束主成分估计，并证明了它们的优良性质，最后给出了一个算例，验证了所得结果。
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| 关 键 词： | 附有条件 参数平差 测量 有偏估计 |
Biased Estimation for Parameter Adjustment with Constraints |
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| Gui Qingming,Zhang Jianjun.Biased Estimation for Parameter Adjustment with Constraints[J].Engineering of Surveying and Mapping,2000,9(1):26-30. |
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| Authors: | Gui Qingming Zhang Jianjun |
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| Abstract: | The biased estimation problem for parameter adjustment with constraints is considered when the ill conditioning is present in the normal matrix. We propose restricted ordinary ridge estimator and restricted principal component estimator by grafting the unrestricted biased estimation philosophy into the RLS estimator, and establish some important statistical properties. A numerical example is presented to illustrate that these restricted biased estimators are superior to the RLS estimator in sense of the reduced MSE. |
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| Keywords: | Parameter adjustment with constraints RLS estimation Restricted ordinary ridge estimation Restricted principal components estimation |
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