Publicação
Inference for L orthogonal models
| Resumo: | 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. |
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| Autores principais: | Ferreira, Sandra Saraiva |
| Outros Autores: | Ferreira, Dário; Moreira, Elsa; Mexia, João Tiago |
| Assunto: | Commutative jordan algebras Mixed model Normal orthogonal models Analysis Applied Mathematics |
| Ano: | 2009 |
| País: | Portugal |
| Tipo de documento: | artigo |
| Tipo de acesso: | acesso aberto |
| Instituição associada: | Universidade Nova de Lisboa |
| Idioma: | inglês |
| Origem: | Repositório Institucional da UNL |
| Resumo: | 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. |
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