Sobolev tests for symmetry of directional data

DOI10.1214/aos/1176346335zbMath0551.62035OpenAlexW1483186481MaRDI QIDQ800666

B. D. Spurr, Peter E. Jupp

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1214/aos/1176346335

zbMATH Keywords

consistencygroup of isometriesasymptotic distributionscompact Riemannian manifoldcompact Lie grouprandomization testsSobolev normsdistribution-free testsinvariant testsuniform scorestwo-sample caseSobolev tests of uniformitysymmetry of directional data

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Hypothesis testing in multivariate analysis (62H15) Foundations and philosophical topics in statistics (62A01) Methods of local Riemannian geometry (53B21)

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