基于等价分析法的稳健估计权函数设计

The Design of Weight Function for Robust Estimation Depending on Equivalent Analysis Method

在观测值中加入粗差，粗差的影响可以通过调整观测值的权加以消除。对含有粗差的观测值利用稳健估计处理后的平差结果应与加粗差前的利用最小二乘原理处理的平差结果一致。依据这样的思想，本文利用间接平差函数模型，借用经典最小二乘原理，推导了基于等价分析方法的稳健估计的等价权函数。

If we add outliers to observations, the influence of outliers can be equal to change weight. The adjustment result by using robust estimation to process the observations including outliers will be accorded with the result by RLS. Depending on such theory, we recur to the indirect adjustment model and ALS theory to discuss the design of weight function for robust estimation depending on equivalent analysis method.