Test for diagonal symmetry in high dimension

DOI10.1016/j.spl.2023.109960OpenAlexW4388107661MaRDI QIDQ6152037

Yongli Sang

Publication date: 12 February 2024

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2023.109960

zbMATH Keywords

asymptotic normality\(U\)-statisticenergy distancehigh-dimensional diagonal symmetry

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Hypothesis testing in multivariate analysis (62H15)

Cites Work

• Energy statistics: a class of statistics based on distances
• A consistent bootstrap procedure for nonparametric symmetry tests
• Invariant tests for symmetry about an unspecified point based on the empirical characteristic function.
• A distribution-free \(m\)-out-of-\(n\) bootstrap approach to testing symmetry about an unknown median
• Testing for central symmetry and inference of the unknown center
• Asymptotic distributions of high-dimensional distance correlation inference
• On some characterizations and multidimensional criteria for testing homogeneity, symmetry and independence
• Empirical likelihood test for diagonal symmetry
• A data-driven smooth test of symmetry
• Approximation Theorems of Mathematical Statistics
• A Test for Asymmetry Associated with the Hodges-Lehmann Estimator
• Testing Symmetry
• A CHARACTERISTIC MEASURE OF ASYMMETRY AND ITS APPLICATION FOR TESTING DIAGONAL SYMMETRY
• Two modified Wilcoxon tests for symmetry about an unknown location parameter

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