Article ID Journal Published Year Pages File Type
4603752 Linear Algebra and its Applications 2006 12 Pages PDF
Abstract

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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory