针对目前文献中提出的各种抗差有偏估计没有对设计空间的粗差进行控制的问题,将岭估计与GM估计结合起来提出了一种新的抗差有偏估计——岭型GM估计,理论分析和计算结果均表明岭型GM估计不仅能消除法矩阵病态性的不良影响,而且能同时具有观测空间和设计空间的抗差性,是一种性能良好的估计。
All sorts of robust biased estimators which are presented can't overcome the outliers in the design space. In this paper, a class of new estimators ridge type GM estimators was proposed through combining the ridge estimator and the GM estimator. Theoretical and numerical results demonstrated that the new estimators could not only overcome the ill-conditioning but also had ability to resist the outliers in the observation space and the design space.