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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 |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Inference_for_L_orthogonal_models.pdf | 356,77 kB | Adobe PDF | View/Open |
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