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

Beganu, 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 -