COMPARISON OF BLUPS UNDER MULTIPLE PARTITIONED LINEAR MODEL AND ITS CORRECTLY-REDUCED MODELS

被引：3

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：

MISKOLC MATHEMATICAL NOTES | 2024年 / 25卷 / 01期

关键词：

BLUP; inertia; multiple partitioned linear model; rank; reduced model; BLUES; ESTIMABILITY; MATRICES;

D O I：

10.18514/MMN.2024.4286

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, we investigate the relations between a multiple partitioned linear model and its correctly-reduced models. We consider the comparison problem of covariance matrices of the best linear unbiased predictors (BLUPs) of all unknown vectors including partial parameters under these models by using the block matrix rank and inertia formulas. We derive various inequalities and equalities for covariance matrices of BLUPs under some general assumptions. Also, results for special cases are given.

引用

页码：241 / 254

页数：14

共 31 条

[1] Analysis of best linear unbiased predictions in the contexts of a linear mixed model and its six correctly-reduced models
Jiang, Bo
Tian, Yongge
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2025,
[2] Characterizing relationships between BLUPs under linear mixed model and some associated reduced models
Eris Buyukkaya, Melek
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2023, 52 (08) : 3438 - 3451
[3] Inertia and rank approach in transformed linear mixed models for comparison of BLUPs
Guler, Nesrin
Buyukkaya, Melek Eris
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2023, 52 (09) : 3108 - 3123
[4] Notes on Comparison of Covariance Matrices of BLUPs Under Linear Random-Effects Model with Its Two Subsample Models
Guler, Nesrin
Buyukkaya, Melek Eris
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2019, 43 (A6): : 2993 - 3002
[5] Notes on Comparison of Covariance Matrices of BLUPs Under Linear Random-Effects Model with Its Two Subsample Models
Nesrin Güler
Melek Eriş Büyükkaya
Iranian Journal of Science and Technology, Transactions A: Science, 2019, 43 : 2993 - 3002
[6] On relations between BLUPs under two transformed linear random-effects models
Guler, Nesrin
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2022, 51 (09) : 5099 - 5125
[7] Equalities between the BLUEs and BLUPs under the partitioned linear fixed model and the corresponding mixed model
Haslett, Stephen J.
Isotalo, Jarkko
Puntanen, Simo
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, 2021, 25 (02): : 239 - 257
[8] On the equality of the BLUPs under two linear mixed models
Stephen J. Haslett
Simo Puntanen
Metrika, 2011, 74 : 381 - 395
[9] On the equality of the BLUPs under two linear mixed models
Haslett, Stephen J.
Puntanen, Simo
METRIKA, 2011, 74 (03) : 381 - 395
[10] Comparison of predictors under constrained general linear model and its future observations
Buyukkaya, Melek Eris
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 2024, 53 (24) : 8929 - 8941

← 1 2 3 4 →