| 污染分布下的Lp估计抗差测度 |
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| 引用本文： | 周世健,陈永奇,邓康伟.污染分布下的Lp估计抗差测度[J].武汉大学学报(信息科学版),1999,24(1). |
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| 作者姓名： | 周世健 陈永奇 邓康伟 |
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| 作者单位： | 华东地质学院工程测量系,江西省临川市,344000 |
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| 基金项目： | 国家自然科学基金!49701014 |
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| 摘 要： | 观测数据中含有粗差或异常值扰动的误差分布可视为污染分布。根据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，并用效率来测度估计的优劣、综合抗差能力和效率，指出观测数据中含有粗差的扰动，应用p为1．2．1．5]的Lp估计来进行处理。
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| 关 键 词： | 污染分布 L_p估计 抗差 影响函数 效率 |
The Robust Measure of Lp Estimation Under Contaminated Distribution |
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| Zhou Shijian,Chen Yongqi,Conrad Tang.The Robust Measure of Lp Estimation Under Contaminated Distribution[J].Geomatics and Information Science of Wuhan University,1999,24(1). |
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| Authors: | Zhou Shijian Chen Yongqi Conrad Tang |
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| Institution: | Dept. of Surveying Engincering. East China Institute of Geology. Linchuan City.Jiangxi Province. Cbina .344000 |
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| Abstract: | Hased on the theory for M-estimalion of the Iocation parameters. the influence functions of the Lp estimation (one dimension and multi-dimension ) have been derived and the robustncss of Lp estimation has been analyzed while the observational errors obey the contaminated distribution which the data include the outliers disturbed. and the asymptotic variance and efficiency of Lp eslimation have been determined too. The properties of Lp estimation have been discusscd in the both robustness and efficiency. The observations with outliers disturbed can be processed using Lp estimation which the parameter p should be between 1. 2 and 1. 5. |
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| Keywords: | the contaminated distribution L_p estimation robust influence function efficiency |
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