Statistical inference of a stochastically restricted linear mixed model

被引:2
作者
Guler, Nesrin [1 ]
Buyukkaya, Melek Eris [2 ]
机构
[1] Sakarya Univ, Dept Econometr, TR-54187 Sakarya, Turkiye
[2] Karadeniz Tech Univ, Dept Stat & Comp Sci, TR-61080 Trabzon, Turkiye
来源
AIMS MATHEMATICS | 2023年 / 8卷 / 10期
关键词
BLUP; comparison; linear mixed model; linear stochastic restriction; MSEM; MATRICES; BLUES;
D O I
10.3934/math.20231244
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This article compares a predictor with the best linear unbiased predictor (BLUP) for a unified form of all unknown parameters under a stochastically restricted linear mixed model (SRLMM) in terms of the mean squared error matrix (MSEM) criterion. The methodology of block matrix inertias and ranks is employed to compare the MSEMs of these predictors. The comparison results are also demonstrated for a linear mixed model with and without an exact restriction, as well as special cases of the unified form of all unknown parameters in the SRLMM.
引用
收藏
页码:24401 / 24417
页数:17
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