Proper action in steps, with application to density ratios of maximal invariants

DOI10.1214/AOS/1176346600zbMath0567.62003OpenAlexW2037295216MaRDI QIDQ1059943

Robert A. Wijsman

Publication date: 1985

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176346600

zbMATH Keywords

locally compact grouporbit spacetransformation grouplocally compact spacecanonical correlationsMANOVACartan spaceaffine actionaction on covariance matricescomposite actionsdensity ratio of a maximal invariantgeneral MANOVAProper actionquotient measure

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Foundations and philosophical topics in statistics (62A01) Topological transformation groups (57S99)

Related Items (3)

On the ratio integral formula for the likelihood ratio of a maximal invariant ⋮ The most powerful location and scale invariant test under the assumption of symmetry ⋮ Lower bounds on Bayes factors for invariant testing situations

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