| 稳健回归分析及其应用研究 |
| |
| 引用本文： | 姚宜斌,陶本藻,施闯.稳健回归分析及其应用研究[J].大地测量与地球动力学,2002,22(2):16-19. |
| |
| 作者姓名： | 姚宜斌 陶本藻 施闯 |
| |
| 作者单位： | 1. 武汉大学测绘学院,武汉,430079
2. 武汉大学GPS工程研究中心,武汉,430079 |
| |
| 基金项目： | 国家自然科学基金资助项目 (4 0 0 0 40 0 1) |
| |
| 摘 要： | 以前在回归分析的研究中，往往只强调对回归方程及其系数进行显著性检验，而忽略对自变量和因变量的稳健性分析。事实上，如果自变量或因变量存在粗差，将对回归模型产生破坏性影响并直接导致预测的失败。考虑到自变量或因变量可能相关，将基于等价方差－协方差的稳健最小二乘估计理论引入回归分析中，并将稳健最小二乘估计理论方法用于GPS高程拟合，取得了明显效果。
|
| 关 键 词： | 稳健回归分析 GPS高程拟合 等价方差－协方差 全球定位系统 |
| 文章编号： | 1671-5942(2002)02-0016-04 |
| 修稿时间： | 2001年12月8日 |
RESEARCH ON ROBUST REGRESSION ANALYSIS AND ITS APPLICATION |
| |
| Yao Yibin\\{\},\ Tao Benzao\\{\} and Shi Chuang\\{\}\,School of Surveying and Mapping of Wuhan University,Wuhan\ Research Center of GPS of Wuhan University,Wuhan\.RESEARCH ON ROBUST REGRESSION ANALYSIS AND ITS APPLICATION[J].Journal of Geodesy and Geodynamics,2002,22(2):16-19. |
| |
| Authors: | Yao Yibin\\{\} \ Tao Benzao\\{\} and Shi Chuang\\{\}\ School of Surveying and Mapping of Wuhan University Wuhan\ Research Center of GPS of Wuhan University Wuhan\ |
| |
| Institution: | Yao Yibin\+\{1)\},\ Tao Benzao\+\{1)\} and Shi Chuang\+\{2)\}\,1)School of Surveying and Mapping of Wuhan University,Wuhan\ 430079 2)Research Center of GPS of Wuhan University,Wuhan\ 430079 |
| |
| Abstract: | In the existent study of regression analysis, more attentions are paid to the prominence of regress function and its parameters. The robustified analysis of independent variable and dependent variable is neglected. In fact, the outliers contained in independent variance or dependent variable will greatly influence the regress model. In view of the correlation of independent variable with dependent variable, the model of robust estimation based on equivalent variance-covariance is used in regression analysis. And this method is also used in GPS height interpolation. The results by the regression analysis method proposed in this paper is reliable and correct. |
| |
| Keywords: | robust regression analysis GPS height interpolation equivalent variance-covariance |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
