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math.ST2024
Geometric quantile-based measures of multivariate distributional characteristics
Ha-Young Shin, Hee-Seok Oh
Several new geometric quantile-based measures for multivariate dispersion, skewness, kurtosis, and spherical asymmetry are defined. These measures differ from existing measures, wh…
math.ST2024
Quantiles on global non-positive curvature spaces
Ha-Young Shin, Hee-Seok Oh
This paper develops a notion of geometric quantiles on Hadamard spaces, also known as global non-positive curvature spaces. After providing some definitions and basic properties, i…