The spatial distribution in infinite dimensional spaces and related quantiles and depths

DOI10.1214/14-AOS1226zbMath1305.62141arXiv1402.3480OpenAlexW1989659377MaRDI QIDQ2510831

Probal Chaudhuri, Anirvan Chakraborty

Publication date: 4 August 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.3480

zbMATH Keywords

Bahadur representationasymptotic relative efficiencysmooth Banach spaceKarhunen-Loève expansionGâteaux derivativeGlivenko-Cantelli propertyDonsker propertyDD-plot

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Limit theorems for vector-valued random variables (infinite-dimensional case) (60B12)

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