Measuring asymmetry and testing symmetry

DOI10.1007/s10463-015-0547-4zbMath1362.62105OpenAlexW2219951363MaRDI QIDQ520569

Yong-Cai Geng, Sumit K. Garg

Publication date: 5 April 2017

Published in: Annals of the Institute of Statistical Mathematics (Search for Journal in Brave)

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/24276664/AISM_Measuring_Asymmetry_and_Testing_Symmetry.pdf

zbMATH Keywords

symmetryasymmetryskewnessmeasure of asymmetrytesting symmetry

Mathematics Subject Classification ID

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

Related Items (9)

Testing symmetry based on empirical likelihood ⋮ A Numerical Study of the Power Function of a New Symmetry Test ⋮ Testing symmetry of model errors for nonparametric regression models by using correlation coefficient¹ ⋮ Correlation coefficient-based measure for checking symmetry or asymmetry of a continuous variable with additive distortion ⋮ Detection the symmetry or asymmetry of model errors in partial linear models ⋮ More good news on the HKM test for multivariate reflected symmetry about an unknown centre ⋮ A note on a measure of asymmetry ⋮ Measuring symmetry and asymmetry of multiplicative distortion measurement errors data ⋮ Detection of the symmetry of model errors for partial linear single-index models

Cites Work

• Unnamed Item
• Unnamed Item
• A measure of asymmetry
• A measure of asymmetry based on a new necessary and sufficient condition for symmetry
• A class of optimal tests for symmetry based on local Edgeworth approximations
• Optimal detection of Fechner-asymmetry
• Skewness and asymmetry: Measures and orderings
• Estimation of integrated squared density derivatives
• Some measures for asymmetry of distributions
• Uniform in Bandwidth Estimation of Integral Functionals of the Density Function
• Le Cam optimal tests for symmetry against Ferreira and Steel's general skewed distributions
• Sinh-arcsinh distributions
• On Bayesian Modeling of Fat Tails and Skewness
• An Asymptotically Distribution-Free Test for Symmetry Versus Asymmetry
• A Test for Asymmetry Associated with the Hodges-Lehmann Estimator
• Testing Symmetry
• Measures of Dependence and Tests of Independence
• A Cramer Von-Mises Type Statistic for Testing Symmetry
• On Testing for the Nullity of Some Skewness Coefficients
• An Asymptotically Nonparametric Test of Symmetry
• A Test for Symmetry Using the Sample Distribution Function
• A simple test of symmetry about an unknown median
• A Constructive Representation of Univariate Skewed Distributions

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