Robustness and the robust estimate

The paper establishes a measure for robustness. With help of the measure the paper discusses the robust estimates under the stochastic error model and mean shift error model. The results show that under the measure 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 most robust estimate is the one with minimum mean squared error proposed by Zhu Jiangjun in 1991.