Additivity of the Bayes Linear Unbiased Estimator in the Partitioned Linear Model

Qiu Hongbing; Luo Ji

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Additivity of the Bayes Linear Unbiased Estimator in the Partitioned Linear Model

更新时间：2026-05-27

- Additivity of the Bayes Linear Unbiased Estimator in the Partitioned Linear Model
- Vol. 29, Issue 1, Pages: 64-66(2012)
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- Online First：25 March 2012，
  
  Published：2012
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邱红兵, 罗季. 分块线性模型中Bayes线性无偏估计的可加性[J]. 广东工业大学学报, 2012, 29(1): 64-66.

Qiu Hongbing, Luo Ji. Additivity of the Bayes Linear Unbiased Estimator in the Partitioned Linear Model[J]. 2012, 29(1): 64-66.
邱红兵, 罗季. 分块线性模型中Bayes线性无偏估计的可加性[J]. 广东工业大学学报, 2012, 29(1): 64-66. DOI：

Qiu Hongbing, Luo Ji. Additivity of the Bayes Linear Unbiased Estimator in the Partitioned Linear Model[J]. 2012, 29(1): 64-66. DOI：

摘要

得到了βi 在线性模型M=(y

X1β1+X2β2

T)下的Bayes线性无偏估计与其在小模型Mi=(y

Xiβi

T)下的Bayes线性无偏估计相等的充分必要条件

i=1

2；并考虑了Xiβi在小模型Mi下的Bayes线性无偏估计之和与Xβ在全模型M下的Bayes线性无偏估计之间的相等关系.

Abstract

Equality of Bayes linear unbiased estimator for βi in linear model M and M1is discussed

and the necessary and sufficient conditions are derived for the Bayes linear unbiased estimator in the partitioned linear model M=(y

X1β1+X2β2

T) to be the sum of the Bayes linear unbiased estimators under the two small models M1=(y

X1β1

T) and M2=(y

X2β2

关键词

Keywords

references

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