压缩型抗差估计

讨论了测量平差中粗差和病态性同时存在时的参数估计问题。针对抗差估计不能抗拒病态性干扰的缺点，运用有偏然计的压缩变换方法，提出了一种新的估计－压缩型抗差估计，理论分析和模拟计算表明，新估计不但能有效的减免粗差的影响，而且能显著的作病态性的干扰，是一种性能良好的估计。

Shrunken Type-Robust Estimation

The parameter estimation problem in parameter adjustment model is considered when outliers and ill conditioning exist simultaneously.A class of new estimators,shrunken type robust estimators,are proposed by grafting the biased estimation techniques philosophy into the robust estimator,and their properties are discussed.By appropriate choices of the shrinking parameter matrix,we obtain many useful and important estimators.A numerical example demonstrates the validity of the methods presented in this paper.