A new Criterion for Robustness and the Corresponding Robust Estimate
Zhu Jianjun (Central South University of Technology, Chang Sha, 410083)
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.