Linear transformations that preserve majorization, Schur concavity, and exchangeability

DOI10.1016/0024-3795(90)90339-EzbMath0712.15002MaRDI QIDQ923654

Angela M. Dean, Joseph S. Verducci

Publication date: 1990

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

zbMATH Keywords

linear transformationexchangeabilitymajorizationSchur concavitymultivariate density functions

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Random convex sets and integral geometry (aspects of convex geometry) (52A22)

Related Items

Differentiable transformations preserving a cone preordering ⋮ Majorization methods on hyperplanes and their applications ⋮ An analytical characterization of effective and of irreducible groups inducing cone orderings ⋮ Exchangeability and Infinite Divisibility ⋮ Linear maps preserving group majorization ⋮ On linear preservers of normal maps ⋮ Spectral order and isotonic differential operators of Laguerre-Pólya type ⋮ Transformations which preserve exchangeability and application to permutation tests

Cites Work

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• A majorization inequality for distributions on hyperplanes and its applications to tests for outliers
• Majorization in multivariate distributions
• A note on exchangeability of random variables
• The Integral of a Symmetric Unimodal Function over a Symmetric Convex Set and Some Probability Inequalities
• The integral of an invariant unimodal function over an invariant convex set—an inequality and applications
• Inequalities: theory of majorization and its applications