一种稳健性准则及相应的稳健估计

研究了已有的各种稳健性度量，根据稳健性的经典定义，本文建立了一种衡量稳健性的准则，根据这一准则，研究了在测量中常用的两种误差模型下的稳健结构。结果表明，在这一个准则和随机误差模型下的最优稳健估计，是李德仁教授提出的验后方差法；在这一准则与均值移动误差模型下的最优稳健估计，是具有均方误差最小的稳健估计。

A new Criterion for Robustness and the Corresponding Robust Estimate

The paper studies different Criterion for robustness- Based on the classical definition of robustness, the paper establishes a new criterion for robustness. With help of the criterion the paper discusses the robust estimates under the stochastic error model and mean-shifting error model which are often used in surveying adjustment. The results show that under the criterion and the stochastic error model the most reasonable robust estimate is the posterior variance approach proposed by Li Deren in 1983. Under the measure and the mean shift error model, the optimal robust estimate is the one with criterion mean square error proposed by Zhu Jianjun in 1991.