任行卫,林乐义.线性等式约束下基本线性模型最佳线性无偏预测值的一些评论[J].数学研究及应用,2018,38(5):496~508 |
线性等式约束下基本线性模型最佳线性无偏预测值的一些评论 |
Some Remarks on BLUP under the General Linear Model with Linear Equality Restrictions |
投稿时间:2017-09-29 修订日期:2018-03-22 |
DOI:10.3770/j.issn:2095-2651.2018.05.008 |
中文关键词: |
英文关键词:general linear model restricted linear model BLUP OLSE BLUE |
基金项目: |
|
摘要点击次数: 1321 |
全文下载次数: 812 |
中文摘要: |
|
英文摘要: |
In this paper, we give the representation of the best linear unbiased predictor (BLUP) of the new observations under $\mathscr{M}_{r_{f}}$. Through the representation, we give necessary and sufficient conditions that the estimators, OLSEs (ordinary least squares estimators) and BLUEs (best linear unbiased estimators), under $\mathscr{M}_{f}$ and $\mathscr{M}_{r_{f}},$ and the predictor, BLUP, under $\mathscr{M}_{f}$ continue to be the BLUP under $\mathscr{M}_{r_{f}}$, respectively. |
查看全文 查看/发表评论 下载PDF阅读器 |
|
|
|