摘要
讨论附有条件的参数平差模型参数的有偏估计问题。提出了约束岭估计和约束主成分估计 ,并证明了它们的优良性质 ,最后给出了一个算例 ,验证了所得结果。
The biased estimation problem for parameter adjustment with constraints is considered when the ill conditioning is present in the normal matrix. We propose restricted ordinary ridge estimator and restricted principal component estimator by grafting the unrestricted biased estimation philosophy into the RLS estimator, and establish some important statistical properties. A numerical example is presented to illustrate that these restricted biased estimators are superior to the RLS estimator in sense of the reduced MSE.
出处
《测绘工程》
CSCD
2000年第1期26-30,共5页
Engineering of Surveying and Mapping
关键词
附有条件
参数平差
测量
有偏估计
Parameter adjustment with constraints
RLS estimation
Restricted ordinary ridge estimation
Restricted principal components estimation
