| Guass-Markov模型的广义抗差岭估计 |
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| 引用本文： | 马朝忠,杜院录,归庆明.Guass-Markov模型的广义抗差岭估计[J].河南科学,2012,30(7):823-827. |
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| 作者姓名： | 马朝忠 杜院录 归庆明 |
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| 作者单位： | 信息工程大学理学院,郑州,450001 |
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| 基金项目： | 国家自然科学基金项目，河南省基础与前沿技术研究计划项目，郑州市科技计划攻关项目，中国卫星导航学术年会青年优秀论文获奖者资助课题 |
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| 摘 要： | 对可能影响测量平差精度与稳定性的各种因素进行了分析,提出了一种新估计——广义抗差岭估计,理论分析和模拟计算结果均表明新估计不仅能同时抵抗设计阵病态性和观测值粗差的影响,而且能有效的消除高杠杆点的干扰,是一种性能良好的估计.
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| 关 键 词： | GM估计 广义抗差岭估计 高杠杆点 |
Generalized Robust Ridge Estimation in Gauss-Markov Model |
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| Ma Chaozhong
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Du Yuanlu
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Gui Qingming.Generalized Robust Ridge Estimation in Gauss-Markov Model[J].Henan Science,2012,30(7):823-827. |
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| Authors: | Ma Chaozhong Du Yuanlu Gui Qingming |
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| Institution: | (Institute of Science,Information Engineering University,Zhengzhou 450001,China) |
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| Abstract: | In this paper,all sorts of factors which can influence the accuracy and stability of the surveying adjustment are analyzed.A kind of new estimator,generalized robust ridge estimation,is proposed,and its properties are discussed.By using a numerical example,some schemes are calculated and compared,and the result demonstrates that the new estimator can not only overcome the ill-conditioning and the outliers but also has ability to resist the high leverage point in the design matrix,so the new estimator has good properties. |
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| Keywords: | GM estimation generalized robust ridge estimation high leverage point |
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