秩亏线性模型中的一个新的线性有偏估计类

摘要

In this paper,we define a new class of biased linear estimators of the vector of unknown parameters in the deficient-rank linear model based on the spectral decomposition expression of the best linear minimun bias estimator.Some important properties are discussed.By appropriate choices of bias parameters,we construct many interested and useful biased linear estimators,which are the extension of ordinary biased linear estimators in the full-rank linear model to the deficient-rank linear model.At last,we give a numerical example in geodetic adjustment.%本文基于最优线性最小偏差估计的谱分解，定义了秩亏线性模型未知参数的一个新的线性有偏估计类，并讨论了它的许多重要性质.通过选取偏参数的适当形式，构造了许多很有意义的线性有偏估计.最后，给出了一个算例.