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

RACSAM (2007)

- Volume: 101, Issue: 1, page 63-70
- ISSN: 1578-7303

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topBeganu, 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 -

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