@article{article_892258, title={Some Remarks on the Equalities of Predictors in Linear Mixed Models}, journal={Mathematical Sciences and Applications E-Notes}, volume={9}, pages={185–193}, year={2021}, DOI={10.36753/mathenot.892258}, author={Yiğit, Melike and Güler, Nesrin and Eriş Büyükkaya, Melek}, keywords={BLUP, equalities, linear mixed model, random vectors, transformed model}, abstract={<br /> <div style="text-align:justify;">Consider a transformed linear mixed model (TLMM) obtained pre-multiplying a linear mixed model (LMM) M : y = Zα + Rγ + e by a given matrix. This work concerns the problem of the equalities of linear predictors under the considered two LMMs under general assumptions. We characterize the equalities between the best linear unbiased predictors (BLUPs) under the LMM and its TLMM by using various rank formulas of block matrices and elementary matrix operations. </div>}, number={4}, publisher={Murat TOSUN}