Testing circular symmetry

DOI10.2307/3316098zbMath1018.62038OpenAlexW2032156573MaRDI QIDQ4707443

Arthur Pewsey

Publication date: 14 September 2003

Published in: Canadian Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/3316098

zbMATH Keywords

circular datarandomization testbootstrap testreflective symmetrylarge-sample omnibus test

Mathematics Subject Classification ID

Directional data; spatial statistics (62H11) Nonparametric hypothesis testing (62G10) Asymptotic distribution theory in statistics (62E20)

Related Items (20)

New Families of Wrapped Distributions for Modeling Skew Circular Data ⋮ Inverse Batschelet Distributions for Circular Data ⋮ Bayesian tests of symmetry for the generalized von Mises distribution ⋮ A three-parameter generalized von Mises distribution ⋮ Transformation of circular random variables based on circular distribution functions ⋮ Recent advances in directional statistics ⋮ Extending circular distributions through transformation of argument ⋮ Two nested families of skew-symmetric circular distributions ⋮ Symmetric circular models through duplication and cosine perturbation ⋮ Sine-skewed circular distributions ⋮ On an extension of the von Mises distribution due to Batschelet ⋮ On reciprocal symmetry ⋮ Dependent models for observations which include angular ones ⋮ The generalized symmetric Laplace distribution on the sphere ⋮ On Papakonstantinou's extension of the cardioid distribution ⋮ Skew-symmetric circular distributions and their structural properties ⋮ On optimal tests for circular reflective symmetry about an unknown central direction ⋮ On a family of two-piece circular distributions ⋮ On Optimal Tests for Rotational Symmetry Against New Classes of Hyperspherical Distributions ⋮ A cylindrical distribution with heavy-tailed linear part

Cites Work

• Sobolev tests for symmetry of directional data
• Bootstrap methods: another look at the jackknife
• Bootstrap and randomization tests of some nonparametric hypotheses
• An almost sure representation of sample circular median
• Statistical Analysis of Circular Data
• Tests for symmetry about an unknown value based on the empirical distribution function
• Detection of symmetry or lack of 11 and applications
• Using the bootstrap in testing symmetry versus asymmetry
• A Bootstrap Revival of Some Nonparametric Distance Tests
• Robust Measures of Location for Directional Data
• A Test for Asymmetry Associated with the Hodges-Lehmann Estimator
• Robust Univariate Test of Symmetry
• The wrapped skew-normal distribution on the circle
• Two modified Wilcoxon tests for symmetry about an unknown location parameter
• Nonparametric symmetry tests for circular distributions
• On the Sign Test for Symmetry
• A simple test of symmetry about an unknown median

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