The Relation for Unbiased Estimators under the Mixed Model and Its Reduced Models

QIU Hong-bing

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The Relation for Unbiased Estimators under the Mixed Model and Its Reduced Models

更新时间：2026-05-27

- The Relation for Unbiased Estimators under the Mixed Model and Its Reduced Models
- Vol. 21, Issue 1, Pages: 97-100(2004)
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- Online First：03 March 2004，
  
  Published：2004
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邱红兵. 混合模型及其导出模型下无偏估计间的关系[J]. 广东工业大学学报, 2004, 21(1): 97-100.

QIU Hong-bing. The Relation for Unbiased Estimators under the Mixed Model and Its Reduced Models[J]. 2004, 21(1): 97-100.
邱红兵. 混合模型及其导出模型下无偏估计间的关系[J]. 广东工业大学学报, 2004, 21(1): 97-100. DOI：

QIU Hong-bing. The Relation for Unbiased Estimators under the Mixed Model and Its Reduced Models[J]. 2004, 21(1): 97-100. DOI：

摘要

对于方差分量的线性函数c′σ2的最小范数二次无偏估计

需要求解非线性方程组

一般没有显式解

只能获得迭代解.本文给出了当V0≥0时

c′σ2在混合模型M=(y

Xβ

Uζ

σ20V0)下的最小范数二次无偏估计及其导出模型下的最小范数二次无偏估计之间的相等关系.

Abstract

Regarding the variance component linear function minimum norm quadratic unbiased estimates

it is needed to solve the nonlinear simultaneous equation. Generally speaking

it does not have the explicit solution

but it can only obtain the iterative solution.In this paper

the relation for estimators of c′σ~2 is shown under the mixed model M=(y

Xβ

Uζ

σ~20V0)and its reduced models with V0≥0.

关键词

Keywords

references

邱红兵. 最小范数二次无偏估计与最小方差二次无偏估计的关系[J]. 应用数学. 2001(S1)

王松桂著.线性模型的理论及其应用[M]. 安徽教育出版社, 1987

倪国熙编.常用矩阵理论和方法[M]. 上海科学技术出版社, 1984

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