Computing projection depth and its associated estimators

DOI10.1007/s11222-012-9352-6zbMath1325.62014OpenAlexW2024464985MaRDI QIDQ892443

YiJun Zuo, Xiao Hui Liu

Publication date: 19 November 2015

Published in: Statistics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11222-012-9352-6

zbMATH Keywords

exact algorithmprojection depthprojection depth contoursprojection medianprojection trimmed meanStahel-Donoho estimators

Mathematics Subject Classification ID

Related Items (15)

EXPECTED MAXIMIZATION ALGORITHM: PROJECTION DEPTH APPROACH ⋮ Approximate computation of projection depths ⋮ Employing the MCMC technique to compute the projection depth in high dimensions ⋮ Choosing among notions of multivariate depth statistics ⋮ Fast \(DD\)-classification of functional data ⋮ Classifying real-world data with the \(DD\alpha\)-procedure ⋮ Fast implementation of the Tukey depth ⋮ Uniform convergence rates for the approximated halfspace and projection depth ⋮ Unnamed Item ⋮ Generalized and robustified empirical depths for multivariate data ⋮ M. Hubert, P. Rousseeuw and P. Segaert: ``Multivariate functional outlier detection ⋮ On masking and swamping robustness of leading nonparametric outlier identifiers for multivariate data ⋮ Integrated rank-weighted depth ⋮ Stahel–Donoho estimation for high-dimensional data ⋮ Fast Computation of Tukey Trimmed Regions and Median in Dimension p > 2

Uses Software

• Qhull
• Algorithm 489

Cites Work

• Unnamed Item
• Unnamed Item
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• The quickhull algorithm for convex hulls
• Regression Depth
• Letter to the Editor—Linear Fractional Functionals Programming

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