On the behavior of Tukey's depth and median under symmetric stable distributions.
type: Item
instance of: scholarly article
title: On the behavior of Tukey's depth and median under symmetric stable distributions.
zbMATH Open document ID: 1040.62038
author: D. Massart
published in: Journal of Statistical Planning and Inference
publication date: 2004-05-27T00:00:00Z
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 62G20
Mathematics Subject Classification ID: 62H12
Mathematics Subject Classification ID: 62G35
zbMATH DE Number: 2066810
zbMATH Keywords: Contamination bias
zbMATH Keywords: Gross error sensitivity
zbMATH Keywords: Halfspace depth
zbMATH Keywords: Halfspace median
zbMATH Keywords: Influence function
zbMATH Keywords: Minimax bias
zbMATH Keywords: Multivariate median
zbMATH Keywords: Robustness
zbMATH Keywords: Tukey's median
MaRDI profile type: Publication
full work available at URL: j.jspi.2003.06.017
OpenAlex ID: W2045073553
cites work: Projection estimates of multivariate location
cites work: The influence function and maximum bias of Tukey's median
cites work: Breakdown properties of location estimates based on halfspace depth and projected outlyingness
cites work: Q3723487
cites work: Lower bounds for contamination bias: Globally minimax versus locally linear estimation
cites work: Robust Estimation of a Location Parameter
cites work: Influence function of halfspace depth
cites work: Q5310549
cites work: The depth function of a population distribution.
cites work: Q4117205
cites work: General notions of statistical depth function.
cites work: Structural properties and convergence results for contours of sample statistical depth functions.
cites work: Influence function and maximum bias of projection depth based estimators.
cites work: Q3717907
DOI: 10.1016/J.JSPI.2003.06.017
description: scientific article; zbMATH DE number 2066810