On a general definition of depth for functional data

DOI10.1214/17-STS625zbMath1381.62098OpenAlexW2768734632WikidataQ115982322 ScholiaQ115982322MaRDI QIDQ1704713

Irène Gijbels, Stanislav Nagy

Publication date: 13 March 2018

Published in: Statistical Science (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ss/1511838032

zbMATH Keywords

robustnessmultivariate statisticsfunctional datadata depth

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Nonparametric robustness (62G35)

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An integrated local depth measure, Choosing among notions of multivariate depth statistics, A notion of depth for sparse functional data, A unified framework on defining depth for point process using function smoothing, Depth and outliers for samples of sets and random sets distributions, On a general definition of depth for functional data, Integrated Depths for Partially Observed Functional Data, Depth in Infinite-dimensional Spaces, Halfspace depth and floating body, A median test for functional data, On general notions of depth for regression, Depth for curve data and applications, Pareto depth for functional data, A variable selection procedure for depth measures, Conformal prediction bands for multivariate functional data, On projection methods for functional time series forecasting

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