| Gauss-Markov模型参数的岭型广义逆估计及其优良性 |
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| 引用本文： | 归庆明,郭建锋.Gauss-Markov模型参数的岭型广义逆估计及其优良性[J].测绘科学,2002(3). |
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| 作者姓名： | 归庆明 郭建锋 |
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| 作者单位： | 中国科学院测量与地球物理研究所!武汉430077(归庆明)，信息工程大学测绘学院!郑州450052(郭建锋) |
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| 基金项目： | 国家杰出青年科学基金项目 (4 982 5 10 7)，国家自然科学基金项目 (4 0 0 740 0 6 )，河南省自然科学基础研究项目(0 0 40 5 130 0 ) |
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| 摘 要： | 本文继续文献 10 ]的工作 ,进一步讨论了测量平差 Gauss- Markov模型参数岭型广义逆估计的若干性质 ,如允许性、优效性、相对效率、抗干扰性等等 ,得到了许多重要结论。计算结果表明 ,在设计阵呈病态时 ,岭型广义逆估计确能明显改善 L S估计
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| 关 键 词： | 测量平差 奇异值分解 有偏估计 优良性 |
Ridge Type-generalized Inverse Estimator of Parameters in Gauss-Markov Model and Its Optimality |
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| GUI Qing ining,GUO Jian feng Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan ,China.Ridge Type-generalized Inverse Estimator of Parameters in Gauss-Markov Model and Its Optimality[J].Science of Surveying and Mapping,2002(3). |
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| Authors: | GUI Qing ining GUO Jian feng Institute of Geodesy and Geophysics Chinese Academy of Sciences Wuhan China |
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| Institution: | GUI Qing ining,GUO Jian feng Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan 430077,China,Institute of Surveying and Mapping,Information Engineering University,Zhengzhou 450052,China) |
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| Abstract: | In paper, starting from the LS estimation, a new biased estimator of unknown parameters in Gauss Markov model, called ridge type generalized inverse estimator (RGIE), is generated by combining the singular value decomposition expression of the design matrix and the ordinary ridge estimation method. Some optimality, such as admissibility, superiority over the LS estimator, relative efficiency, numerical stability, is discussed and some important conclusions are obtained. The computational results demonstrate that the RGI estimator can improve the LS estimator when the design matrix is ill conditioned. |
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| Keywords: | geodetic adjustment 3 singular value decomposition biased estimator optimality |
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