Computing zonoid trimmed regions of dimension \(d>2\)

DOI10.1016/j.csda.2009.01.017zbMath1453.62159OpenAlexW1973925361MaRDI QIDQ961667

Tatjana Lange, Pavel Bazovkin, Karl C. Mosler

Publication date: 1 April 2010

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2009.01.017

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Characterization and structure theory for multivariate probability distributions; copulas (62H05)

Related Items (16)

Finite sample breakdown point of Tukey's halfspace median ⋮ Computation of projection regression depth and its induced median ⋮ Exact computation of the halfspace depth ⋮ Choosing among notions of multivariate depth statistics ⋮ A new approach for the computation of halfspace depth in high dimensions ⋮ Some results on the computing of Tukey's halfspace median ⋮ Computing projection depth and its associated estimators ⋮ Fast implementation of the Tukey depth ⋮ Weighted-mean trimming of multivariate data ⋮ Unnamed Item ⋮ Generalized and robustified empirical depths for multivariate data ⋮ Computing Halfspace Depth and Regression Depth ⋮ The limit of finite sample breakdown point of Tukey's halfspace median for general data ⋮ Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2 ⋮ Commentary on ``From unidimensional to multidimensional inequality: a review ⋮ Computing halfspace depth contours based on the idea of a circular sequence

Uses Software

• R
• AS 307

Cites Work

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• Multivariate dispersion, central regions and depth. The lift zonoid approach
• The expected convex hull trimmed regions of a sample
• Multivariate risks and depth-trimmed regions
• Depth-based inference for functional data
• Computing depth contours of bivariate point clouds
• Zonoid trimming for multivariate distributions
• Multivariate analysis by data depth: Descriptive statistics, graphics and inference. (With discussions and rejoinder)
• Structural properties and convergence results for contours of sample statistical depth functions.
• Multivariate Lorenz dominance based on zonoids
• Data depths satisfying the projection property
• Computing zonoid trimmed regions of bivariate data sets
• Algorithm AS 307: Bivariate Location Depth

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