Nonnull and optimality robustness of some tests

DOI10.1214/aos/1176349663zbMath0586.62078OpenAlexW2051857427MaRDI QIDQ1071429

Takeaki Kariya, Bimal Kumar Sinha

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/1176349663

zbMATH Keywords

covariance structureinvariant structuretesting independencegeneralized multivariate analysis of variancelocally best invariantLBI testsnonnull robustnessessentially complete class of invariant testsGMANOVA problemoptimality robustnesstest for sphericity

Mathematics Subject Classification ID

Hypothesis testing in multivariate analysis (62H15) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Foundations and philosophical topics in statistics (62A01) Characterization and structure theory of statistical distributions (62E10)

Related Items (14)

Robustness study for a linear growth model ⋮ Detection of multivariate outliers with location slippage or scale inflation in left orthogonally invariant or elliptically contoured distributions ⋮ Complex elliptically symmetric distributions ⋮ Locally minimax tests in symmetrical distributions ⋮ On the role of minque in testing of hypotheses under hiked linear models ⋮ Locally minimax test of independence in elliptically symmetrical distributions with additional observations ⋮ Some robust tests of independence in symmetrical multivariate distributions ⋮ Exact tests in unbalanced mixed analysis of variance ⋮ Testing hypotheses in mixed linear models ⋮ Optimal confidence regions in GMANOVA ⋮ Monotonicity of the power function and unbiasedness of some likelihood ratio tests ⋮ Sufficiency, ancillarity and independence in invariant models ⋮ Optimality robustness of tests in two population problems ⋮ The growth curve model: a review

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