| 具有稳健初值的选权迭代法 |
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| 引用本文： | 邱卫宁. 具有稳健初值的选权迭代法[J]. 武汉大学学报 ( 信息科学版), 2003, 28(4): 452-454. |
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| 作者姓名： | 邱卫宁 |
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| 作者单位： | 武汉大学测绘学院, 武汉市珞喻路129号, 430079 |
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| 基金项目： | 国家 8 63计划资助项目 (2 0 0 1AA13 5 0 81) |
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| 摘 要： | 提出先采用线性规划来确定残差的初值,然后再进行选权迭代这样一种方法,其估计结果既具有线性规划的稳健性,又具有最小二乘的最优性。试验表明,这种基于线性规划的稳健估计具有很强的稳健性和检测粗差的能力,其计算结果与没有粗差时的最小二乘估计结果一致,且方法简单、可靠、实用。
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| 关 键 词： | 稳健性 粗差 线性规划 加权绝对值和最小 |
| 文章编号： | 1671-8860(2003)04-0452-03 |
| 收稿时间： | 2002-03-20 |
| 修稿时间： | 2002-03-20 |
Method for Selecting Weight Iteration with Robust Initial Value |
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| QIU Weining. Method for Selecting Weight Iteration with Robust Initial Value[J]. Geomatics and Information Science of Wuhan University, 2003, 28(4): 452-454. |
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| Authors: | QIU Weining |
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| Affiliation: | School of Geodesy and Geomatics, Wuhan University, 129 Luoyu Road, Wuhan, China, 430079 |
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| Abstract: | Since the least squares estimates (LS) is not sensitive to gross errors, the estimation will be incorrect , especially there are several gross errors in the observed value. Being dead against this problem, a method of robust estimation that connects linear programming with least squares estimation is given. The residuals using Linear Programming were used as initial value to iterate calculation. Test results have shown that this method has the abilities to detect and restrain multi gross error. |
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| Keywords: | robustness gross errors linear programming least sum of absolute residuals with weighting |
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