Majorization, polyhedra, and statistical testing problems

DOI10.1016/S0024-3795(97)00336-4zbMath0898.52002OpenAlexW2118163961MaRDI QIDQ1379114

Geir Dahl

Publication date: 25 October 1998

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

Full work available at URL: https://doi.org/10.1016/s0024-3795(97)00336-4

zbMATH Keywords

convex hullpartial orderconvex polyhedraweak majorizationstandard simplexpower of a testNeyman-Pearson testface lattice of a cone

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Linear inequalities of matrices (15A39)

Related Items (1)

Measurement of inequality with a finite number of pay states: the majorization set and its applications

Cites Work

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• The doubly stochastic matrices of a vector majorization
• Weak \(k\)-majorization and polyhedra
• Majorizations and inequalities in matrix theory
• Order-preserving functions; applications to majorization and order statistics
• Polyhedra and optimization in connection with a weak majorization ordering
• Inequalities: theory of majorization and its applications

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