The most powerful location and scale invariant test under the assumption of symmetry

DOI10.1080/03610929408831237zbMath0825.62082OpenAlexW2003274179MaRDI QIDQ4843710

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Publication date: 17 August 1995

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929408831237

zbMATH Keywords

spherical distributionsymmetric densityinvariant test

Mathematics Subject Classification ID

Statistics (62-XX)

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On the joint distribution of Grubbs' statistics

Cites Work

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• Proper action in steps, with application to density ratios of maximal invariants
• Distributions of maximal invariants using quotient measures
• The most powerful scale and location invariant test of the normal versus the double exponential
• The Most Powerful Invariant Test of Normal Versus Cauchy with Applications to Stable Alternatives
• ASYMPTOTIC NORMALITY OF LINEAR RANK STATISTICS UNDER ALTERNATIVES
• Student's t-Test Under Symmetry Conditions
• Global Cross Sections and the Densities of Maximal Invariants
• An Optimum Test Property of Two Well-Known Statistics
• More Light on the Kurtosis and Related Statistics