均值平移模型的理论研究及分析

On Theory Analysis for Expectation Drift Model

均值平移模型是处理含粗差观测值的常用模型之一。文中证明了均值平移模型的参数估值及残差二次型与剔除模型的参数估值和残差二次型完全相等 ,并进一步分析了均值平移模型粗差检验的性质。

Expectation drift model is one to deal with gross errors. The relationship between the drift model and outlier deleting model is discussed. It is shown that the paramwters and the quadratic froms of the two models are equivalent. With this conclusion we can realize the significance of the test statistic in searching for gross errors and simplify the data processing.