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观测向量的变换对广义线性模型参数估计的影响
The Influence to Parameter Estimation in a General Linear Regression Model with Linear Transformations
【摘要】 本文一般地考察了观测向量Y用线性变换FY代替对广义线性模型Y=Xβ+ε的系数估计的影响,得到了由变换引起的方差增量公式,并由此得到了一个可估子空间,当且仅当其中元素的估计优良性不因观测向量的变化而改变,这一结果推广了文献[1]的结果.
【Abstract】 For an arbitrary rank general Gauss Markoff model Y=Xβ+μ,μ∽(0,Σ) , where Σ is a nonnegative ddefinite matrix, the effect of transforming the observable vector Y to FY is analyzed with respect to the variance of the Best Linear Unbiased Estimator (BLUE) of C′β . It is shown that there exists an estimable subspace S in which the BLUE of C′β can be get as a function of FY . The result obtained in is generalized in this paper.
- 【文献出处】 数学研究与评论 ,JOURNAL OF MATHEMATICAL RESEARCH AND EXPOSITION , 编辑部邮箱 ,1996年03期
- 【分类号】O212
- 【被引频次】1
- 【下载频次】54