TY  - JOUR
TI  - On Predictors and Estimators under a Constrained Partitioned Linear Model and its Reduced Models
AB  - In this study, we consider a partitioned linear model with linear partial parameter constrains, known as a constrained partitioned linear model (CPLM), and its reduced models. A group of formulas on best linear unbiased predictors (BLUPs) and best linear unbiased estimators (BLUEs) in CPLM is derived via some quadratic matrix optimization methods, and further many basic properties of the predictors and estimators are established under some general assumptions. Our main purpose is to derive various inequalities and equalities for the comparison of covariance matrices of BLUPs and BLUEs under CPLM and its reduced models.
AU  - ERİŞ BÜYÜKKAYA, Melek
AU  - Güler, Nesrin
DO  - 10.33401/fujma.1134600
PY  - 2022
JO  - Fundamental journal of mathematics and applications (Online)
VL  - 5
IS  - 3
SN  - 2645-8845
SP  - 192
EP  - 200
DB  - TRDizin
UR  - http://search/yayin/detay/1123584
ER  -