Exactly computing bivariate projection depth contours and median

DOI10.1016/j.csda.2012.10.016zbMath1365.62201arXiv1112.6162OpenAlexW1985825040MaRDI QIDQ2361217

Xiao Hui Liu, Zhi-Zhong Wang, YiJun Zuo

Publication date: 30 June 2017

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

Full work available at URL: https://arxiv.org/abs/1112.6162

zbMATH Keywords

projection depthprojection medianexact computation algorithmlinear fractional functionals programmingprojection depth contour

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12)

Related Items (10)

Finite sample breakdown point of Tukey's halfspace median ⋮ Employing the MCMC technique to compute the projection depth in high dimensions ⋮ Computing projection depth and its associated estimators ⋮ A predictive leverage statistic for quantile regression with measurement errors ⋮ The limit of finite sample breakdown point of Tukey's halfspace median for general data ⋮ Stahel–Donoho estimation for high-dimensional data ⋮ Multidimensional medians and uniqueness ⋮ Flexible quantile contour estimation for multivariate functional data: beyond convexity ⋮ From Depth to Local Depth: A Focus on Centrality ⋮ Computing halfspace depth contours based on the idea of a circular sequence

Uses Software

• Qhull

Cites Work

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• Finite sample breakdown points of projection based multivariate location and scatter statistics
• Computing depth contours of bivariate point clouds
• Projection-based depth functions and associated medians
• General notions of statistical depth function.
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• Computing multiple-output regression quantile regions from projection quantiles
• On Exact Computation of Some Statistics Based on Projection Pursuit in a General Regression Context
• Computing zonoid trimmed regions of bivariate data sets
• The quickhull algorithm for convex hulls
• Regression Depth
• The Behavior of the Stahel-Donoho Robust Multivariate Estimator
• Letter to the Editor—Linear Fractional Functionals Programming
• Partitions ofN-Space by Hyperplanes

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