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Geometric quantile-based measures of multivariate distributional characteristics
Ha-Young Shin, Hee-Seok Oh · 2024-07-10 · via math.ST updates on arXiv.org

Several new geometric quantile-based measures for multivariate dispersion, skewness, kurtosis, and spherical asymmetry are defined. These measures differ from existing measures, which use volumes and are easy to calculate. Some theoretical justification is given, followed by experiments illustrating that they are reasonable measures of these distributional characteristics and computing confidence regions with the desired coverage.

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