Estimation and orthogonal block structure

Authors : Sandra S. FERREİRAX, Célia NUNES, Dário FERREİRA, Elsa MOREİRA, João TİAGO MEXİA

Pages : 541-548

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Publication Date : 2016-04-01

Article Type : Research Paper

Abstract :Estimators with good behaviors for estimable vectors and variance components are obtained for a class of models that contains the well known models with orthogonal block structure, OBS, see [15], [16] and [1], [2]. The study observations of these estimators uses commutative Jordan Algebras, CJA, and extends the one given for a more restricted class of models, the models with commutative orthogonal block structure, COBS, in which the orthogonal projection matrix on the space spanned by the means vector commute with all variance-covariance matrices, see [7].
Keywords : BLUE, LSE, OBS, UMVUE, Variance components