TY - JOUR
T1 - Binary operations on Jordan algebras and orthogonal normal models
AU - Fonseca, Miguel dos Santos
AU - Mexia, João Tiago Praça Nunes
AU - Zmyślony, Roman
PY - 2006/8/1
Y1 - 2006/8/1
N2 - Jordan algebras are used to present normal orthogonal models in a canonical form. Binary operations are defined on these algebras, which enable us to build complex models based on simpler ones. Properties of these operations and their relation with balanced models are studied. The canonical model formulation is interesting because it leads to complete sufficient statistics. These statistics are then used to obtain estimators in order to test hypothesis on the model parameters.
AB - Jordan algebras are used to present normal orthogonal models in a canonical form. Binary operations are defined on these algebras, which enable us to build complex models based on simpler ones. Properties of these operations and their relation with balanced models are studied. The canonical model formulation is interesting because it leads to complete sufficient statistics. These statistics are then used to obtain estimators in order to test hypothesis on the model parameters.
KW - Linear models
KW - UMVUE
KW - Binary operations
KW - Commutative Jordan algebras
KW - Kronecker matrix product
UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-33745485165&origin=resultslist&sort=plf-f&src=s&st1
U2 - 10.1016/j.laa.2006.03.045
DO - 10.1016/j.laa.2006.03.045
M3 - Article
SN - 0024-3795
VL - 417
SP - 75
EP - 86
JO - Linear Algebra and its Applications
JF - Linear Algebra and its Applications
IS - 1
ER -