Optimality robustness of tests in two population problems

DOI10.1016/0378-3758(86)90095-9zbMath0613.62025OpenAlexW2026512148MaRDI QIDQ1819488

Takeaki Kariya, Bimal Kumar Sinha

Publication date: 1987

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(86)90095-9

zbMATH Keywords

normalityscale parametersmonotone likelihood ratioexponentialityWijsman's representation theoremoptimality robustnessstandard optimum invariant teststesting the equality of two location parameters

Mathematics Subject Classification ID

Parametric hypothesis testing (62F03) Robustness and adaptive procedures (parametric inference) (62F35) Foundations and philosophical topics in statistics (62A01)

Cites Work

• Detection of multivariate outliers in elliptically symmetric distributions
• Nonnull and optimality robustness of some tests
• Detection of multivariate outliers with dispersion slippage in elliptically symmetric distributions
• A robustness property of Hotelling's \(T^ 2-\)test
• Locally robust tests for serial correlation in least squares regression
• Robustness of multivariate tests
• Robust tests for spherical symmetry
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