Tail probabilities of the limiting null distributions of the Anderson--Stephens statistics

DOI10.1016/S0047-259X(03)00093-9zbMath1047.62055OpenAlexW2048605940MaRDI QIDQ1877006

Akimichi Takemura, Satoshi Kuriki

Publication date: 16 August 2004

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0047-259x(03)00093-9

zbMATH Keywords

Weyl's tube formulaIntegral geometryDirectional dataMaximum of Gaussian fieldsMultivariate symmetric normal distributionsTest for spherical uniformity

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Directional data; spatial statistics (62H11) Asymptotic distribution theory in statistics (62E20) Hypothesis testing in multivariate analysis (62H15) Monte Carlo methods (65C05) Integral geometry (53C65)

Related Items

The tube method for the moment index in projection pursuit, Validity of the expected Euler characteristic heuristic

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