| 岭-主成分组合估计及其在测量平差中的应用 |
| |
| 引用本文： | 归庆明,李国重,欧吉坤.岭-主成分组合估计及其在测量平差中的应用[J].测绘工程,2002,11(4):11-13. |
| |
| 作者姓名： | 归庆明 李国重 欧吉坤 |
| |
| 作者单位： | 1. 中国科学院,测量与地球物理研究所,湖北,武汉,430077
2. 信息工程大学,测绘学院,河南,郑州,450052 |
| |
| 基金项目： | 国家自然科学基金，国家自然科学基金，49825107,40125013，40074006，， |
| |
| 摘 要： | 在分析岭估计缺陷的基础上，运用主成分估计方法，提出了测量平差Gauss-Markov模型参数的一个新的有偏估计，称为岭-主成分组合估计，在均方误差意义下讨论了岭-主成分组合估计的质及其岭-主成分组合估计与岭估计、主成分估计的比较问题，讨论了岭-主成分组合估计中偏参数的选取问题，得到了许多重要结论。理论分析和计算结果都表明，岭-主成分组合估计是一类很有潜力的有偏估计。
|
| 关 键 词： | 测量平差 Gauss－Markov模型 岭－主成分组合估计 均方误差 最小二乘法 |
| 文章编号： | 1006-7949(2002)04-0011-03 |
| 修稿时间： | 2002年3月6日 |
Combining Ridge and Principal Component Estimation and Its Applications in Survey Adjustment |
| |
| GUI Qing-ming ,LI Guo-zhong ,OU Ji-kun.Combining Ridge and Principal Component Estimation and Its Applications in Survey Adjustment[J].Engineering of Surveying and Mapping,2002,11(4):11-13. |
| |
| Authors: | GUI Qing-ming LI Guo-zhong OU Ji-kun |
| |
| Institution: | GUI Qing-ming 1,LI Guo-zhong 2,OU Ji-kun 1 |
| |
| Abstract: | In this paper,based on analyzing ordinary ridge estimation properties,a new biased estimation of unknown parameters called combining ridge and principal component(CRPC)estimation is generat-ed for Gauss-Markov model by using the principal component estimation method.The CRPC estima-tion can overcome the defect of the ordinary ridge estimation and the principal component estimation.Its good properties in the mean squared error and under the Pitman's measure of closeness are discussed.Comparative results of mean squared error of these biased estimations are given.The determination of biased parameter in the CRPC estimation is discussed,and some important conclusions are obtained.Theoretic and computational results demonstrate that the CRPC estimation is a potential biased estima-tion. |
| |
| Keywords: | Gauss-Markov model combining ridge and principal component estimation mean squared error condition number |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
