One-dimensional empirical measures, order statistics, and Kantorovich transport distances

DOI10.1090/memo/1259zbMath1454.60007OpenAlexW2988160852WikidataQ126844853 ScholiaQ126844853MaRDI QIDQ5242784

Publication date: 6 November 2019

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/1259

zbMATH Keywords

rate of convergence order statistic empirical measure beta distribution Kantorovich distance inverse distribution function finite rate bound log-concave measure.

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Order statistics; empirical distribution functions (62G30) Random measures (60G57) Convergence of probability measures (60B10) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12) Limit theorems in probability theory (60F99)

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