| 统一分布下的LP估计抗差测度 |
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| 引用本文： | 周世健 陈永奇. 统一分布下的LP估计抗差测度[J]. 华东地质学院学报, 1998, 21(3): 258-264 |
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| 作者姓名： | 周世健 陈永奇 |
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| 作者单位： | 华东地质学院测量系 |
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| 摘 要： | 本文根据定位参数Ｍ估计理论，导出了ＬＰ估计的影响函数，分析了ＬＰ估计的抗差能力，同时还推导了ＬＰ估计的渐近效率，综合抗差能力和效率，分析了ＬＰ估计的优劣性，明确指出，用现测数据中含有粗差扰动的数据和Ｐ为（１，１．２５）的ＬＰ估计进行处理，结果较优，效率较高。
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| 关 键 词： | 统一分布 LP估计 抗差 影响函数 测量误差 |
The Robust Measure of L P Estimation on the Basis of the Universal Distribution |
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| Zhou Shijian. The Robust Measure of L P Estimation on the Basis of the Universal Distribution[J]. Journal of East China Institute of Technology, 1998, 21(3): 258-264 |
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| Authors: | Zhou Shijian |
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| Abstract: | Based on the theory of M estimation of the location parameters, the influence functions of L P estimation is educed and the robustness of L P estimation is analyzed in the condition that the observational errors obey the universal distribution (P distribution). The paper also deduces the asymptotic efficiency, general robustness and efficiency of L P estimation.It is pointed out that the better results and the higher efficiency can be obtained by use the observations with outliers disturbed and L P estimation which the parameter P is between 1.0 and 1.25 to process after quality analyses of L P estimation. |
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| Keywords: | univesral distribution L P estimation robust influence function efficiency |
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