Inference for L orthogonal models

Sandra Saraiva Ferreira, Dário Ferreira, Elsa Moreira, João Tiago Mexia

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5 Citations (Scopus)
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Abstract

A mixed model Yo = ∑m i=1 Xiβi + ∑i=m+1 w Xiβ̃ + e is orthogonal when the matrices Mi = XiXi T, i = 1,...,w, commute. The vectors βc1 1,...,βcm m are fixed vectors and the βcm+1 m+1,...,βcw w and en are random. For these models we have very interesting results namely we have UMVUE for the relevant parameters when normality is assumed. We now intend to generalize that class of models taking Y = L(∑i=1 mXiβi + ∑i=m+1 w Xiβ̃ + e with L a matrix whose column vectors are linearly independent.

Original languageEnglish
Pages (from-to)815-824
Number of pages10
JournalJournal of Interdisciplinary Mathematics
Volume12
Issue number6
DOIs
Publication statusPublished - 1 Dec 2009

Keywords

  • Commutative jordan algebras
  • Mixed model
  • Normal orthogonal models

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