Uniform estimation of isobars

DOI10.1016/j.spl.2019.01.012zbMath1407.60043OpenAlexW2912361911WikidataQ128549247 ScholiaQ128549247MaRDI QIDQ1726926

Marie-Françoise Barme-Delcroix, Margarida Brito

Publication date: 20 February 2019

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.spl.2019.01.012

zbMATH Keywords

order statisticsnonparametric estimationmultivariate samplesempirical functionsuniform a.s. consistency

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Characterization and structure theory for multivariate probability distributions; copulas (62H05) Order statistics; empirical distribution functions (62G30) Strong limit theorems (60F15)

Cites Work

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• High dimensional data analysis using multivariate generalized spatial quantiles
• Regression and asymptotical location of a multivariate sample
• An isobar-surface approach to multidimensional outlier-proneness
• General notions of statistical depth function.
• Asymptotic behavior of samples from general multivariate distributions
• Quantile functions for multivariate analysis: approaches and applications
• Robustness and Complex Data Structures
• Multivariate stability and strong limiting behaviour of intermediate order statistics

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