ArticleOriginal scientific text

Title

Orthogonal models: Algebraic structure and explicit estimators for estimable vectors

Authors 1, 1, 1

Affiliations

  1. Center of Mathematics and Applications, Faculty of Sciences and Technology, NOVA University of Lisbon, Portugal

Abstract

We study the algebraic structure of orthogonal models thus of mixed models whose variance covariance matrices are all positive semi definite, linear combinations of known pairwise orthogonal projection matrices, POOPM, and whose least square estimators, LSE, of estimable vectors are best linear unbiased estimator, BLUE, whatever the variance components, so they are uniformly BLUE, UBLUE. From the results of the algebraic structure we will get explicit expression for the LSE of these models.

Keywords

linear models, mixed models, inference, orthogonal models, UBLUE

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Pages:
29-44
Main language of publication
English
Received
2014-11-20
Published
2015
Exact and natural sciences