| 处理高杠杆异常值的抗隐差型Bayes方法 |
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| 引用本文： | 张倩倩, 归庆明, 王延停. 处理高杠杆异常值的抗隐差型Bayes方法[J]. 武汉大学学报 ( 信息科学版), 2012, 37(5): 582-585. |
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| 作者姓名： | 张倩倩 归庆明 王延停 |
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| 作者单位： | 1信息工程大学理学院,郑州市科学大道62号450001;2信息工程大学测绘学院,郑州市陇海中路66号450052 |
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| 基金项目： | 国家自然科学基金资助项目，中国卫星导航学术年会青年优秀论文获奖者资助项目，郑州市科技攻关计划资助项目 |
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| 摘 要： | 给出了一种剔除初始子集中高杠杆异常值的方法。首先根据高杠杆异常值在总观测值集中所占的比例选出若干组观测值,使得至少有一组不含高杠杆异常值的概率很高;然后根据残差最小准则从中选出不含高杠杆异常值的那组作为初始子集;最后用这种初始子集确定方法结合Gibbs抽样给出了相应的Bayes多粗差定位算法。
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| 关 键 词： | 高杠杆异常值 隐差 Bayes方法 粗差探测 Gibbs抽样 |
| 收稿时间： | 2012-03-15 |
Multiple Outlier Detection in Observations Including Leverage Points with Outliers by Bayes Method |
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| ZHANG Qianqian, GUI Qingming, WANG Yanting. Multiple Outlier Detection in Observations Including Leverage Points with Outliers by Bayes Method[J]. Geomatics and Information Science of Wuhan University, 2012, 37(5): 582-585. |
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| Authors: | ZHANG Qianqian GUI Qingming WANG Yanting |
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| Affiliation: | 1 Institute of Science,Information Engineering University,62 Kexue Road,Zhengzhou 450001,China;2 Institute of Surveying and Mapping,Information Engineering University,66 Middle Longhai Road,Zhengzhou 450052,China |
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| Abstract: | A new method concerning how to eliminate leverage points with outliers from the conditional subset is considered.Firstly,several subsets of observations are selected randomly from all observations in accordance with the percentage of leverage points with outliers in order to obtain one subset containing no leverage points with outliers.Secondly,the conditional subset is selected from the subsets that are selected above according to the sum of squares of the residuals.Lastly,a new algorithm is given by connecting our procedure with the Gibbs sampling. |
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| Keywords: | leverage points with outliers unmasking Bayes method outliers detection Gibbs sampler |
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