Majorization methods on hyperplanes and their applications

DOI10.1016/0378-3758(94)00137-KzbMath0839.60021OpenAlexW2080188207MaRDI QIDQ1907634

Itsuro Kakiuchi, Miyoshi Kimura

Publication date: 16 June 1996

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(94)00137-k

zbMATH Keywords

Schur-concave functionSchur-convex setrobust testingmajorization inequalitymaximum sizeminimum powerapproximate equalitydistribution on hyperplane

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Parametric hypothesis testing (62F03) Hypothesis testing in multivariate analysis (62H15) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (2)

Robust rank tests for \(k\)-sample approximate equality in the presence of gross errors ⋮ Robust slippage rank tests for \(k\) location parameters in the presence of gross errors

Cites Work

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• Linear transformations that preserve majorization, Schur concavity, and exchangeability
• A majorization inequality for distributions on hyperplanes and its applications to tests for outliers
• Some general results on least favorable parameter configurations with special reference to equivalence testing and the range statistic
• Majorization in multivariate distributions
• Range tests for the dispersion of several location parameters
• The integral of an invariant unimodal function over an invariant convex set—an inequality and applications
• Inequalities: theory of majorization and its applications
• Robust rank tests for \(k\)-sample approximate equality in the presence of gross errors

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