粗差估值型抗差估计  

Robust Estimation with the Estimator of Outliers

作　　者：杨世清[1] 余学祥[1] 吕伟才 

机构地区：[1]淮南矿业学院资源环境系

出　　处：《武汉测绘科技大学学报》1998年第1期10-13,共4页Geomatics and Information Science of Wuhan University

摘　　要：在测量数据处理中，解差受到观测空间和设计空间的双重影响。本文导出了粗差估值与解差的关系，进而得出了以粗差估值表示的ＬＳ估计的影响函数。通过对粗差估值加以限制，根据等价权原理，实现ＬＳ估计对观测空间和设计空间的抗差性。算例表明，粗差估值型抗差估计对观测空间和设计空间均具有良好的抗差效果。The difference of solutions are influenced by both observation space and design space.This paper,based on the relationship between the difference of solutions and the estimator of outliers ,derives the influence function of LS estimation which is expressed by the estimator of blunders;according to the principle of equivalent weight,realizes robustifying LS estimation to observation space and design space with the method to limit the estimator of gross errors.Examples show that robust estimation with the estimator of outliers has sound robustinity to both observation space and design space.

关 键 词：粗差估计 抗差估值 解差 等价仅 测量误差 

分 类 号：P207[天文地球—测绘科学与技术]