| 粗差估值型抗差估计 |
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| 引用本文： | 杨世清,余学祥,吕伟才.粗差估值型抗差估计[J].武汉大学学报(信息科学版),1998(1). |
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| 作者姓名： | 杨世清 余学祥 吕伟才 |
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| 作者单位： | 淮南矿业学院资源环境系 |
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| 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。
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| 关 键 词： | 抗差估计 粗差估值 解差 观测和设计空间 等价权 |
Robust Estimation with the Estimator of Outliers |
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| Abstract: | 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. |
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| Keywords: | robust estimation estimator of outliers the difference of solutions observation and design space equivalent weight |
| 本文献已被 CNKI 等数据库收录！ |
