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math.ST2024
Quantiles and Quantile Regression on Riemannian Manifolds: a measure-transportation-based approach
Marc Hallin, Hang Liu
Increased attention has been given recently to the statistical analysis of variables with values on nonlinear manifolds. A natural but nontrivial problem in that context is the def…
math.ST2024★ 1 cited
Multivariate Quantiles: Geometric and Measure-Transportation-Based Contours
Marc Hallin, Dimitri Konen
Quantiles are a fundamental concept in probability and theoretical statistics and a daily tool in their applications. While the univariate concept of quantiles is quite clear and w…