All about the ⊥ with its applications in the linear statistical models

• Autorzy: Augustyn Markiewicz , Simo Puntanen
• Języki publikacji: EN

Abstrakty

EN

For an n x m real matrix A the matrix A⊥ is defined as a matrix spanning the orthocomplement of the column space of A, when the orthogonality is defined with respect to the standard inner product ⟨x, y⟩ = x'y. In this paper we collect together various properties of the ⊥ operation and its applications in linear statistical models. Results covering the more general inner products are also considered. We also provide a rather extensive list of references

Słowa kluczowe

EN

Best linear unbiased estimator; Column space; Generalized inverse; Linear statistical model; Orthocomplement; Orthogonal projector

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2015
• Tom: 13
• Numer: 1

Daty

wydano

2015-01-01

otrzymano

2013-12-13

zaakceptowano

2014-04-14

online

2014-10-09

Twórcy

autor

Augustyn Markiewicz

• Department of Mathematical and Statistical Methods, Pozna´n University of Life Sciences, Wojska Polskiego 28, PL-60637 Poznan, Poland,

autor

Simo Puntanen

• School of Information Sciences, FI-33014 University of Tampere, Finland,

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Identyfikatory

DOI

10.1515/math-2015-0005