Joint estimation for normal orthogonal mixed models
Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 5-13
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Commutative Jordan algebras are used to express the structure of mixed orthogonal models and to derive complete sufficient statistics. From these statistics, UMVUE, (Uniformly Minimum Variance Unbiased Estimators), are derived for the relevant parameters, first of single models then of several such models. These models may correspond to experiments designed separately so our results may be seen as a contribution to this meta-analysis.
Keywords:
normal orthogonal mixed models, commutative Jordan algebras, meta-analysis
@article{DMPS_2007_27_1-2_a0,
author = {de Jesus, Vera and Ferreira, Sandra and Mexia, Jo\~ao},
title = {Joint estimation for normal orthogonal mixed models},
journal = {Discussiones Mathematicae. Probability and Statistics},
pages = {5--13},
publisher = {mathdoc},
volume = {27},
number = {1-2},
year = {2007},
language = {en},
url = {http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a0/}
}
TY - JOUR AU - de Jesus, Vera AU - Ferreira, Sandra AU - Mexia, João TI - Joint estimation for normal orthogonal mixed models JO - Discussiones Mathematicae. Probability and Statistics PY - 2007 SP - 5 EP - 13 VL - 27 IS - 1-2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a0/ LA - en ID - DMPS_2007_27_1-2_a0 ER -
%0 Journal Article %A de Jesus, Vera %A Ferreira, Sandra %A Mexia, João %T Joint estimation for normal orthogonal mixed models %J Discussiones Mathematicae. Probability and Statistics %D 2007 %P 5-13 %V 27 %N 1-2 %I mathdoc %U http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a0/ %G en %F DMPS_2007_27_1-2_a0
de Jesus, Vera; Ferreira, Sandra; Mexia, João. Joint estimation for normal orthogonal mixed models. Discussiones Mathematicae. Probability and Statistics, Tome 27 (2007) no. 1-2, pp. 5-13. http://geodesic.mathdoc.fr/item/DMPS_2007_27_1-2_a0/