Characterization of diagonal symmetry: location unknown, and a test based on allied U-processes

DOI10.1016/S0378-3758(01)00114-8zbMath0989.62026OpenAlexW2006940136MaRDI QIDQ1598696

Pranab Kumar Sen, Gábor J. Székely

Publication date: 28 May 2002

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(01)00114-8

zbMATH Keywords

weak convergencecharacterizationnuisance locationU-statisticsdiagonal symmetryasymptotically distribution-freeempirical kernel d.f.nearest neighbour-methodology

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20) Characterization and structure theory of statistical distributions (62E10)

Related Items (3)

Testing for central symmetry and inference of the unknown center ⋮ More good news on the HKM test for multivariate reflected symmetry about an unknown centre ⋮ On some characterizations and multidimensional criteria for testing homogeneity, symmetry and independence

Cites Work

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• Functional limit theorems for U-processes
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• Tied-down Wiener process approximations for aligned rank order processes and some applications
• On the Limiting Behaviour of the Empirical Kernel Distribution Function
• An Asymptotically Distribution-Free Test for Symmetry Versus Asymmetry
• A Test for Asymmetry Associated with the Hodges-Lehmann Estimator
• Testing Symmetry
• Tests for symmetry
• A Class of Statistics with Asymptotically Normal Distribution

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