A group majorization ordering for correlation matrices

DOI10.1016/0024-3795(90)90340-IzbMath0694.15007MaRDI QIDQ908992

Alessandra Giovagnoli, Mario Romanazzi

Publication date: 1990

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

zbMATH Keywords

orderingcorrelation matricesRankingstrength of linear relationships

Mathematics Subject Classification ID

Algebraic systems of matrices (15A30) Statistical ranking and selection procedures (62F07)

Related Items (5)

A group majorization ordering for Euclidean distance matrices ⋮ Group majorization and Schur type inequalities ⋮ An analytical characterization of effective and of irreducible groups inducing cone orderings ⋮ Inequalities associated with intra-inter-class correlation matrices. ⋮ Ordering results for elliptical distributions with applications to risk bounds

Cites Work

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• Some symmetric, invariant measures of multivariate association
• G-majorization with applications to matrix orderings
• Canonical Positive Definite Matrices Under Internal Linear Transformations
• Inequalities: theory of majorization and its applications

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