Spectrum and trace invariance criterion and its statistical applications

DOI10.1016/0024-3795(90)90260-JzbMath0714.15002MaRDI QIDQ750561

Jerzy K. Baksalary, Simo Puntanen

Publication date: 1990

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

generalized inversecanonical correlationsrectangular matricesGauss-Markov modelspectrum invariancetrace invariance

Mathematics Subject Classification ID

Measures of association (correlation, canonical correlation, etc.) (62H20) Theory of matrix inversion and generalized inverses (15A09) Eigenvalues, singular values, and eigenvectors (15A18)

Related Items (7)

Some remarks on partial orderings of nonnegative definite matrices ⋮ Further results on invariance of the eigenvalues of matrix product involving generalized inverses ⋮ The BLUE's covariance matrix revisited: A review ⋮ Some further results on Hermitian-matrix inequalities ⋮ A note on invariance of the eigenvalues, singular values, and norms of matrix products involving generalized inverses ⋮ Löwner partial ordering and space preordering of Hermitian non-negative definite matrices ⋮ Left-star and right-star partial orderings

Cites Work

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• Mean square error matrix improvements and admissibility of linear estimators
• Representations of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix
• Range invariance of certain matrix products
• Matrix Analysis
• Linear Least Squares Regression

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