Please use this identifier to cite or link to this item: http://hdl.handle.net/10362/75688
Title: Inference for L orthogonal models
Author: Ferreira, Sandra Saraiva
Ferreira, Dário
Moreira, Elsa
Mexia, João Tiago
Keywords: Commutative jordan algebras
Mixed model
Normal orthogonal models
Analysis
Applied Mathematics
Issue Date: 1-Dec-2009
Citation: Ferreira, S. S., Ferreira, D., Moreira, E., & Mexia, J. T. (2009). Inference for L orthogonal models. Journal of Interdisciplinary Mathematics, 12(6), 815-824. https://doi.org/10.1080/09720502.2009.10700666
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.
Peer review: yes
URI: http://www.scopus.com/inward/record.url?scp=84890089375&partnerID=8YFLogxK
DOI: https://doi.org/10.1080/09720502.2009.10700666
ISSN: 0972-0502
Appears in Collections:FCT: DM - Artigos em revista internacional com arbitragem científica

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