Illumination Depth

DOI10.1080/10618600.2020.1776717OpenAlexW4214732681WikidataQ115982578 ScholiaQ115982578MaRDI QIDQ5066418

Stanislav Nagy, Jiří Dvořák

Publication date: 29 March 2022

Published in: Journal of Computational and Graphical Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.04119

zbMATH Keywords

halfspace depthilluminationmultivariate analysisoutlier detectionTukey depthclassification and clustering

Mathematics Subject Classification ID

Statistics (62-XX)

Related Items (1)

Halfspace depth for general measures: the ray basis theorem and its consequences

Uses Software

• VolEsti

Cites Work

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• Fast nonparametric classification based on data depth
• Multivariate functional outlier detection
• The illumination body of almost polygonal bodies
• A canonical definition of shape
• Bridging centrality and extremity: refining empirical data depth using extreme value statistics
• The convex floating body of almost polygonal bodies
• Breakdown properties of location estimates based on halfspace depth and projected outlyingness
• A discriminant analysis algorithm for the inside/outside problem
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• Concentration of the empirical level sets of Tukey's halfspace depth
• General notions of statistical depth function.
• The illumination bodies of a simplex
• On the performance of some robust nonparametric location measures relative to a general notion of multivariate symmetry
• Halfspace depths for scatter, concentration and shape matrices
• Halfspace depth and floating body
• Nonparametrically consistent depth-based classifiers
• Data depths satisfying the projection property
• A semiparametric density estimator based on elliptical distributions
• Duality of floating and illumination bodies
• Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2
• The convex floating body.
• Illumination bodies and affine surface area
• Floating body, illumination body, and polytopal approximation
• Practical Polytope Volume Approximation
• DD-Classifier: Nonparametric Classification Procedure Based onDD-Plot
• Floating and Illumination Bodies for Polytopes: Duality Results
• Estimation of Extreme Depth-Based Quantile Regions
• Convex Bodies The Brunn-MinkowskiTheory
• On the Goodness-of-Fit Problem for Continuous Symmetric Distributions

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