On depth and deep points: A calculus.
type: Item
instance of: scholarly article
title: On depth and deep points: A calculus.
zbMATH Open document ID: 1039.62046
author: Ivan Mizera
published in: The Annals of Statistics
publication date: 2002-01-01T00:00:00Z
Mathematics Subject Classification ID: 62H05
Mathematics Subject Classification ID: 52A40
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 60B10
Mathematics Subject Classification ID: 90C29
Mathematics Subject Classification ID: 62A01
zbMATH DE Number: 1916798
zbMATH Keywords: centerpoint
zbMATH Keywords: compactification
zbMATH Keywords: degree of mapping
zbMATH Keywords: depth
zbMATH Keywords: halfspace
zbMATH Keywords: Kronecker index
zbMATH Keywords: median
zbMATH Keywords: multivariate location
zbMATH Keywords: regression
zbMATH Keywords: set-valued analysis
zbMATH Keywords: vector optimization
zbMATH Keywords: weak convergence
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1214/aos/1043351254
OpenAlex ID: W2073388398
cites work: Relationships between maximum depth and projection regression estimates
cites work: Regression depth and center points.
cites work: Asymptotic distributions of the maximal depth estimators for regression and multivariate location
cites work: The closeness of the range of a probability on a certain system of random events -- an elementary proof
cites work: Multivariate regression depth
cites work: Q4839950
cites work: Q5560061
cites work: Q3216028
cites work: Q3264648
cites work: On 64%-Majority Rule
cites work: Aggregation and Social Choice: A Mean Voter Theorem
cites work: Aggregation and Imperfect Competition: On the Existence of Equilibrium
cites work: A characterization of halfspace depth
cites work: Approximation of set valued functions and fixed point theorems
cites work: A Distribution-Free Test for Regression Parameters
cites work: Aspects of robust linear regression
cites work: Q4331785
cites work: Breakdown properties of location estimates based on halfspace depth and projected outlyingness
cites work: Q4283467
cites work: Q3772828
cites work: Convergence of depth contours for multivariate datasets
cites work: A Relationship Between Hodges' Bivariate Sign Test and a Non-Parametric Test of Daniels
cites work: A Bivariate Sign Test
cites work: Q3220809
cites work: Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
cites work: A Quality Index Based on Data Depth and Multivariate Rank Tests
cites work: On An Invariant of Plane Regions and Mass Distributions
cites work: Q5558820
cites work: Asymptotics for multivariate trimming
cites work: On min-max majority and deepest points
cites work: Q5652137
cites work: Seven Kinds of Convexity
cites work: Regression Depth
cites work: A Theorem on General Measure
cites work: Q3994730
cites work: Depth in an arrangement of hyperplanes
cites work: Q5686695
cites work: Q4074141
cites work: Q4120300
cites work: Q3899222
cites work: Q4117205
cites work: Robustness of deepest regression
cites work: The deepest regression method
cites work: On local Pareto Optima
cites work: On the structure and stability of local Pareto optima in a pure exchange economy
DOI: 10.1214/AOS/1043351254
description: scientific article; zbMATH DE number 1916798