定位参数抗差估计的无偏性  

The Unbiasedness for the Robust Estimation of the Location Parameters

作　　者：臧德彦[1] 张立亭[1] 周世健[1] 

机构地区：[1]华东地质学院测量系,江西临川344000

出　　处：《测绘学院学报》2000年第1期1-2,共2页Journal of Institute of Surveying and Mapping

基　　金：国家自然科学基金资助项目! (No .4970 10 14 )

摘　　要：根据抗差估计中误差的最基本假设—对称分布 ,考虑到ρ函数的条件及把反对称估计作为抗差估计计算迭代的初始值 ,验证了定位参数的抗差估计值也一定是反对称估计 ,满足无偏性条件 ,得到定位参数的抗差估计是无偏估计。This paper based on the antisymmetrical estimation that is the basic hypothesis of the error distribution in the robust theory, the robust estimation for the location parameters is the antisymmetrical estimation if we consider the conditions of the ρ functions and is calculated by iterative weighted with an antisymmetrical starting points, and the estimation meet the condition of the unbiased estimation, so that the robust estimation for the location parameters is the unbiased estimation.

关 键 词：抗差估计 无偏性 反对称估计 对称分布 测量 

分 类 号：P207[天文地球—测绘科学与技术]