A new concept of quantiles for directional data and the angular Mahalanobis depth
type: Item
instance of: scholarly article
title: A new concept of quantiles for directional data and the angular Mahalanobis depth
zbMATH Open document ID: 1349.62197
DOI: 10.1214/14-EJS904
author: Christophe Ley
author: Camille Sabbah
author: Thomas Verdebout
published in: Electronic Journal of Statistics
publication date: 2014-06-23T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.ejs/1402927498
Mathematics Subject Classification ID: 62H11
Mathematics Subject Classification ID: 62G30
Mathematics Subject Classification ID: 62A09
Mathematics Subject Classification ID: 62P35
zbMATH DE Number: 6306397
zbMATH Keywords: Bahadur representation
zbMATH Keywords: directional statistics
zbMATH Keywords: DD- and QQ-plot
zbMATH Keywords: Mahalanobis depth
zbMATH Keywords: rotationally symmetric distributions
MaRDI profile type: Publication
cites work: Robustness, Dispersion, and Local Functions in Data Depth
cites work: A Note on Quantiles in Large Samples
cites work: On a Geometric Notion of Quantiles for Multivariate Data
cites work: Bootstrap methods: another look at the jackknife
cites work: Q3742512
cites work: Multivariate quantiles and multiple-output regression quantiles: from \(L_{1}\) optimization to halfspace depth
cites work: Q3413299
cites work: Regression Quantiles
cites work: Q3145542
cites work: Zonoid trimming for multivariate distributions
cites work: On adaptive estimation in stationary ARMA processes
cites work: Asymptotics in statistics. Some basic concepts.
cites work: Optimal R-estimation of a spherical location
cites work: DD-Classifier: Nonparametric Classification Procedure Based onDD-Plot
cites work: On a notion of data depth based on random simplices
cites work: Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
cites work: Q3413937
cites work: Ordering directional data: Concepts of data depth on circles and spheres
cites work: Q3836517
cites work: Q3354921
cites work: Regression Depth
cites work: Quantile functions for multivariate analysis: approaches and applications
cites work: Q4117205
cites work: Q3790478
cites work: General notions of statistical depth function.
OpenAlex ID: W1967250030
description: scientific article; zbMATH DE number 6306397