Tests of elliptical symmetry and the asymptotic tail behavior of the statistics

DOI10.1007/s11766-999-0072-4zbMath0940.62051OpenAlexW2011361766MaRDI QIDQ1970741

Ping Jing, Li Xing Zhu

Publication date: 17 July 2000

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-999-0072-4

zbMATH Keywords

projection pursuitasymptotic tail behaviortest of sphericity

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15)

Cites Work

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• Bootstrapping general empirical measures
• Projection pursuit
• Confidence sets for a multivariate distribution
• Tail behaviour for the suprema of Gaussian processes with applications to empirical processes
• The supremum of Gaussian processes with a constant variance
• Central limit theorems for empirical measures
• Exponential bounds for the uniform deviation of a kind of empirical processes. II
• Testing for spherical symmetry of a multivariate distribution
• A necessary test of goodness of fit for sphericity
• Diffusion in oscillatory pipe flow
• Invariance principles for sums of Banach space valued random elements and empirical processes
• A Cramer Von-Mises Type Statistic for Testing Symmetry
• A Test for Symmetry Using the Sample Distribution Function

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