# On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.

RACSAM (2007)

- Volume: 101, Issue: 2, page 159-167
- ISSN: 1578-7303

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topBeganu, Gabriela. "On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.." RACSAM 101.2 (2007): 159-167. <http://eudml.org/doc/42016>.

@article{Beganu2007,

abstract = {The necessary and sufficient condition for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the expected mean in the general univariate linear regression model was given by Kruskal (1968) using a coordinate-free approach. The purpose of this article is to present in the same manner some alternative forms of this condition and to prove two of the Haberman’s equivalent conditions in a different and simpler way. The results obtained in the general univariate linear regression model are applied to a family of multivariate growth curve models for which the problem of the equality between OLSE and BLUE is treated in a coordinate-free approach.},

author = {Beganu, Gabriela},

journal = {RACSAM},

language = {eng},

number = {2},

pages = {159-167},

title = {On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.},

url = {http://eudml.org/doc/42016},

volume = {101},

year = {2007},

}

TY - JOUR

AU - Beganu, Gabriela

TI - On some alternative forms equivalent to Kruskal's condition for OLSE to be BLUE.

JO - RACSAM

PY - 2007

VL - 101

IS - 2

SP - 159

EP - 167

AB - The necessary and sufficient condition for the ordinary least squares estimators (OLSE) to be the best linear unbiased estimators (BLUE) of the expected mean in the general univariate linear regression model was given by Kruskal (1968) using a coordinate-free approach. The purpose of this article is to present in the same manner some alternative forms of this condition and to prove two of the Haberman’s equivalent conditions in a different and simpler way. The results obtained in the general univariate linear regression model are applied to a family of multivariate growth curve models for which the problem of the equality between OLSE and BLUE is treated in a coordinate-free approach.

LA - eng

UR - http://eudml.org/doc/42016

ER -

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