统一分布下的L_P估计抗差测度

The Robust Measure of L P Estimation on the Basis of the Universal Distribution

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，用观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。

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.