分块线性模型及导出模型方差的估计量间关系研究

A study of the equivalence between a partitioned linear model and its reduced linear models

研究了在线性模型及其两个导出模型下 ,σ2 的最小范数二次无偏估计之间的关系 ,并给出了他们相等的充要条件。

In this paper,we will study the connections between the Minimum Norm Quadratic Unbiased Estimator of σ 2 under the linear modelA and the Minimum Norm Quadratic Unbiased Estimators of σ 2 under the two reduced linear models.Furthermore,we will give the necessary and sufficient conditions that these estimators are equal to each other.