Orthogonal models: Algebraic structure and explicit estimators for estimable vectors

• Autorzy: Artur Pereira , Miguel Fonseca , João Tiago Mexia
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

linear models; mixed models; inference; orthogonal models; UBLUE

Kategorie tematyczne

• 62J10: Analysis of variance and covariance

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae Probability and Statistics
• Rocznik: 2015
• Tom: 35
• Numer: 1-2
• Strony: 29-44

Daty

wydano

2015

otrzymano

2014-11-20

Twórcy

autor

Artur Pereira

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

autor

Miguel Fonseca

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

autor

João Tiago Mexia

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

Bibliografia

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Identyfikatory

DOI

10.7151/dmps.1176