稳健总体最小二乘Helmert方差分量估计

摘要

对于总体最小二乘而言,经常需要处理不同精度或者不同类型的观测数据,根据先验方差来定权往往不准确,同时观测数据中可能含有粗差.针对这两个问题,提出稳健总体最小二乘Helmert方差分量估计,将稳健估计和Helmert方差分量估计同时应用于总体最小二乘中.最后通过两个实验的计算结果表明,该方法是可行的、有效的.%As for total least squares,it is also common to process different precise of data or different types of data.The weights determined by prior variance are not accurate.And at the same time the condition that there are gross errors in observation data is taken into consideration.For these two problem,the variance component estimation for robust total least squares is proposed.The robust estimation and the Helmert variance component estimation are applied into total least squares.At last,two experiment are carried out to testify.The result of calculation demonstrate that the method proposed in the paper is feasible and effective.