基于中位数法的抗差总体最小二乘估计
针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差与随机模型误差对等价权函数抗差性的影响。基于中位数法建立总体最小二乘抗差迭代算法,并结合算例对算法进行验证。结果表明,在相同观测样本条件下,本文提出的算法拟合的精度高于传统算法拟合的精度。...
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| Published in | Ce hui xue bao Vol. 45; no. 3; pp. 297 - 301 |
|---|---|
| Main Author | |
| Format | Journal Article |
| Language | Chinese English |
| Published |
Beijing
Surveying and Mapping Press
01.03.2016
淮海工学院测绘工程学院,江苏 连云港,222005%中国矿业大学环境与测绘学院,江苏 徐州,221008 |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1001-1595 1001-1595 |
| DOI | 10.11947/j.AGCS.2016.20150234 |
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| Abstract | 针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差与随机模型误差对等价权函数抗差性的影响。基于中位数法建立总体最小二乘抗差迭代算法,并结合算例对算法进行验证。结果表明,在相同观测样本条件下,本文提出的算法拟合的精度高于传统算法拟合的精度。 |
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| AbstractList | P207; 针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差与随机模型误差对等价权函数抗差性的影响.基于中位数法建立总体最小二乘抗差迭代算法,并结合算例对算法进行验证.结果表明,在相同观测样本条件下,本文提出的算法拟合的精度高于传统算法拟合的精度. 针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差与随机模型误差对等价权函数抗差性的影响。基于中位数法建立总体最小二乘抗差迭代算法,并结合算例对算法进行验证。结果表明,在相同观测样本条件下,本文提出的算法拟合的精度高于传统算法拟合的精度。 |
| Abstract_FL | Because the present algorithms of totalleast squares for robust estimation have disadvantages, solution for computation primary model parameters based on median method is proposed.And to get over the influence that estimation error of random model and error of mean square has,computation weight matrix of observation vector and coefficient matrix separately are proposed.Iterative algorithm of robust total least squares is establ ished based on median method,and to prove the proposed solution to be feasible,an instance is cited.The numerical results of the instance clearly demonstrate that the presented solution is more accurate than the traditional method for line fitting. |
| Author | 陶叶青 高井祥 姚一飞 |
| AuthorAffiliation | 淮海工学院测绘工程学院,江苏连云港222005 中国矿业大学环境与测绘学院,江苏徐州221008 |
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| Author_FL | YAO Yifei GAO Jingxiang TAO Yeqing |
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| Copyright | Mar 2016. This work is published under https://creativecommons.org/licenses/by-nc-nd/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. Copyright © Wanfang Data Co. Ltd. All Rights Reserved. |
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| DocumentTitleAlternate | Solution for Robust Total Least Squares Estimation Based on Median Method |
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| Keywords | 总体最小二乘 抗差估计 totalleast squares robust estimation median method 中位数 |
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| Notes | total least squares; robust estimation; median method 11-2089/P Because the present algorithms of total least squares for robust estimation have disadvantages,solution for computation primary model parameters based on median method is proposed.And to get over the influence that estimation error of random model and error of mean square has,computation weight matrix of observation vector and coefficient matrix separately are proposed.Iterative algorithm of robust total least squares is established based on median method,and to prove the proposed solution to be feasible,an instance is cited.The numerical results of the instance clearly demonstrate that the presented solution is more accurate than the traditional method for line fitting. TAO Yeqing ,GAO Jingxiang ,YAO Yifei（ 1. Department of Geomatic Engineering, Huaihai Institute of Technology, Lianyungang 222005, China~ 2. School of Environment Science and Spatial Informatics, China University of Mining ＆ Technology, Xuzhou 221008, China） ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
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| Publisher | Surveying and Mapping Press 淮海工学院测绘工程学院,江苏 连云港,222005%中国矿业大学环境与测绘学院,江苏 徐州,221008 |
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| Snippet | 针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差与随机... P207; 针对现有总体最小二乘抗差算法存在的缺陷,应用中位数法确定模型参数的初值,提出了对模型的观测向量与系数矩阵中的观测元素进行分类定权的思想,避免了中误差估计偏差... |
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| SubjectTerms | Algorithms Computation Iterative algorithms Iterative methods Least squares Robustness (mathematics) 中位数 总体最小二乘 抗差估计 |
| Title | 基于中位数法的抗差总体最小二乘估计 |
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