@inproceedings{0fb5fdf71ee54ef58848f0d2e96f8d12,

title = "A fundamental partition in models with commutative orthogonal block structure",

abstract = "Models with commutative orthogonal block structure, COBS, constitute an interesting class of models with orthogonal block structure, OBS, in which the orthogonal projection matrix on the space ω spanned by the mean vectors commute with the known pairwise orthogonal projection matrices Q 1,..., Qm that figure in the expression of the variance-covariance matrix V = ∑j=1m γjQj of the model. We discuss the importance of the orthogonal partition Y = YΩ+YΩ⊥ where Y, Yω and Yω⊥ are the observation vectors and its orthogonal projection on ω and ω⊥, the orthogonal complement on parameters estimation.",

keywords = "COBS, Linear Models, Statistical Inference",

author = "Francisco Carvalho and Mexia, {Jo{\~a}o T.} and Ricardo Covas and C{\'e}lia Fernandes",

year = "2011",

doi = "10.1063/1.3636917",

language = "English",

isbn = "9780735409569",

series = "AIP Conference Proceedings",

publisher = "American Institute of Physics",

pages = "1615--1618",

editor = "Simos, {Theodore E. } and George Psihoyios and Ch. Tsitouras and Zacharias Anastassi",

booktitle = "Numerical Analysis and Applied Mathematics, ICNAAM 2011",

address = "United States",

note = "ICNAAM 2011 : International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2011 ; Conference date: 19-09-2011 Through 25-09-2011",

}