Arbeitspapier

The equality between linear transforms of ordinary least squares and best linear unbiased estimator

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The best linear unbiased estimator BLUE (CXb) of a linear transform CX b in the general Gauss-Markov model (y, E (y) = X b Cov (y) =a2v) is the linear transform C BLUE (Xb) of the best linear unbiased estimator BLUE (Xb) of Xb. Similarly, for the ordinary least squares estimator OLSE (CXb) = C OLSE (X) . The problem of equality of OLSE (Xb) and BLUE (Xb) has been widely discussed in the literature. In this note, characterizations of the equality COLSE (Xb) = CBLUE (Xb) are given in terms of projectors and subspaces.

Sprache
Englisch

Erschienen in
Series: Technical Report ; No. 1998,14

Thema
Ordinary least squares estimator
best linear unbiased estimator
prediction
linear transform
orthogonal projector

Ereignis
Geistige Schöpfung
(wer)
Groß, Jürgen
Trenkler, Götz
Ereignis
Veröffentlichung
(wer)
Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen
(wo)
Dortmund
(wann)
1998

Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

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Objekttyp

  • Arbeitspapier

Beteiligte

  • Groß, Jürgen
  • Trenkler, Götz
  • Universität Dortmund, Sonderforschungsbereich 475 - Komplexitätsreduktion in Multivariaten Datenstrukturen

Entstanden

  • 1998

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