On Exact Computation of Some Statistics Based on Projection Pursuit in a General Regression Context

DOI10.1080/03610918.2011.560730zbMath1219.62109OpenAlexW2136808101MaRDI QIDQ3087576

Miroslav Šiman

Publication date: 16 August 2011

Published in: Communications in Statistics - Simulation and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610918.2011.560730

zbMATH Keywords

quantile regressionmultivariate quantileprojection depthregression depth

Mathematics Subject Classification ID

Multivariate analysis (62H99) Linear regression; mixed models (62J05) Convex programming (90C25) Applications of mathematical programming (90C90)

Related Items (5)

Exactly computing bivariate projection depth contours and median ⋮ On weighted and locally polynomial directional quantile regression ⋮ A new approach for the computation of halfspace depth in high dimensions ⋮ Multivariate Process Capability Indices: A Directional Approach ⋮ On generalized elliptical quantiles in the nonlinear quantile regression setup

Cites Work

• On directional multiple-output quantile regression
• Exact computation of bivariate projection depth and the Stahel-Donoho estimator
• Projection pursuit
• Projection-based depth functions and associated medians
• General notions of statistical depth function.
• A geometric framework for sparse matrix problems
• On the performance of some robust nonparametric location measures relative to a general notion of multivariate symmetry
• Multivariate quantiles and multiple-output regression quantiles: from \(L_{1}\) optimization to halfspace depth
• Regression Quantiles
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