Multivariate Symmetry and Asymmetry

Univariate symmetry has interesting and diverse forms of generalization to the multivariate case. Here several leading concepts of multivariate symmetry—spherical, elliptical, central, and angular—are examined and various closely related notions discussed. Methods for testing the hypothesis of symmetry and approaches for measuring the direction and magnitude of skewness are reviewed. Keywords: multivariate; symmetry; skewness; asymmetry

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