Simultaneous optimal estimates of fixed effects and variance components in the mixed model期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Simultaneous optimal estimates of fixed effects and variance components in the mixed model

Authors:	Mixia?Wu,Songgui?Wang author-information" > author-information__contact u-icon-before" > mailto:wangsg@bjpu.edu.cn" title=" wangsg@bjpu.edu.cn" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author

Affiliation:	College of Applied Sciences, Beijing University of Technology, Beijing 100022

Abstract:	For a general linear mixed model with two variance components, a set of simple conditions is obtained, under which, (i) the least squares estimate of the fixed effects and the analysis of variance (ANOVA) estimates of variance components are proved to be uniformly minimum variance unbiased estimates simultaneously; (ii) the exact confidence intervals of the fixed effects and uniformly optimal unbiased tests on variance components are given; (iii) the exact probability expression of ANOVA estimates of variance components taking negative value is obtained.

Keywords:	linear mixed model random effect variance component minimum variance unbiased estimate uniformly most powerful unbiased test.
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