On the continuity of center-outward distribution and quantile functions

DOI10.1016/j.na.2018.05.008zbMath1433.62132arXiv1805.04946OpenAlexW2963036345WikidataQ112631910 ScholiaQ112631910MaRDI QIDQ1627421

Alessio Figalli

Publication date: 22 November 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.04946

zbMATH Keywords

multivariate distribution functionmultivariate quantilesmeasure transportationgradient of convex functions

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Functional data analysis (62R10) Nonparametric robustness (62G35) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

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