抗差岭估计的误差影响测度

当观测值受异常污染影响而不服从正态分布，且平差法方程出现病态时，采用抗差岭估计可得到参数的理想解。本文基于抗差岭估计理论，导出了抗差岭估计的误差影响函数，以及实用的抗差岭估计参数解差和参数解差函数，并结合实例作了多种的试算和比较，结果表明，抗差岭估计的误差影响函数对模型及参数解的理论分析具有重要意义，参数解差函数计算方便，几何意义明确。

INFLUENCE MEASURE OF ERRORS IN ROBUST RIDGE ESTIMATION

The effective solution of parameters can be obtained by using the theory of robust ridge estimation when some observed values are contaminated by outliers other than the normal distribution and the normal equation is ill--conditioned. Based on the theory of robust ridge estimation, the influence function of the errors in robust ridge estimation are derived. The functions of parameter solution difference which are eacy to be calculated in practice arc obtained.By using a numerical example,some schemes are calculated and compared. The result shows that the influence function of errors of robust ridge estimation is important in theoretical analysis of the model and parameter solution. The functions of parameter solution difference have the advantage of clarity in geometric and convenience in calculation.