On the equality of the ordinary least squares estimators and the best linear unbiased estimators in multivariate growth-curve models.

Beganu, Gabriela. "On the equality of the ordinary least squares estimators and the best linear unbiased estimators in multivariate growth-curve models.." RACSAM 101.1 (2007): 63-70. <http://eudml.org/doc/41664>.

@article{Beganu2007,
abstract = {It is well known that there were proved several necessary and sufficient conditions for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the fixed effects in general linear models. The purpose of this article is to verify one of these conditions given by Zyskind [39, 40]: there exists a matrix Q such that ΩX = XQ, where X and Ω are the design matrix and the covariance matrix, respectively. It will be shown the accessibility of this condition in some multivariate growth-curve models, establishing the known result regarding the equality between OLSE and BLUE in this type of linear models.},
author = {Beganu, Gabriela},
journal = {RACSAM},
language = {eng},
number = {1},
pages = {63-70},
title = {On the equality of the ordinary least squares estimators and the best linear unbiased estimators in multivariate growth-curve models.},
url = {http://eudml.org/doc/41664},
volume = {101},
year = {2007},
}

TY - JOUR
AU - Beganu, Gabriela
TI - On the equality of the ordinary least squares estimators and the best linear unbiased estimators in multivariate growth-curve models.
JO - RACSAM
PY - 2007
VL - 101
IS - 1
SP - 63
EP - 70
AB - It is well known that there were proved several necessary and sufficient conditions for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the fixed effects in general linear models. The purpose of this article is to verify one of these conditions given by Zyskind [39, 40]: there exists a matrix Q such that ΩX = XQ, where X and Ω are the design matrix and the covariance matrix, respectively. It will be shown the accessibility of this condition in some multivariate growth-curve models, establishing the known result regarding the equality between OLSE and BLUE in this type of linear models.
LA - eng
UR - http://eudml.org/doc/41664
ER -