A majorization inequality for distributions on hyperplanes and its applications to tests for outliers

DOI10.1016/0378-3758(89)90015-3zbMath0675.62018OpenAlexW2026342996MaRDI QIDQ1122257

Miyoshi Kimura, Itsuro Kakiuchi

Publication date: 1989

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(89)90015-3

zbMATH Keywords

Schur-concave functionstochastic orderingmajorization inequalitydistributions on hyperplanesrandom vector with exchangeable componentstest statistics for outliers of means of normal distributionsunbiasedness properties

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Parametric hypothesis testing (62F03)

Related Items (4)

Majorization methods on hyperplanes and their applications ⋮ Linear transformations that preserve majorization, Schur concavity, and exchangeability ⋮ 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

• Majorization in multivariate distributions
• Inequalities: theory of majorization and its applications
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