A note On outlier sensitivity of Sliced Inverse Regression

DOI10.1080/02331880213194zbMath1020.62023OpenAlexW1987009884MaRDI QIDQ3153641

Torsten Hilker, Ursula Gather, Claudia Becker

Publication date: 6 November 2002

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331880213194

zbMATH Keywords

outliersrobustnessdimension reduction

Mathematics Subject Classification ID

Estimation in multivariate analysis (62H12) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items (18)

A Sliced Inverse Regression Approach for a Stratified Population ⋮ Improving estimated sufficient summary plots in dimension reduction using minimization criteria based on initial estimates ⋮ A METHOD OF LOCAL INFLUENCE ANALYSIS IN SUFFICIENT DIMENSION REDUCTION ⋮ Determining the dimension of iterative Hessian transformation ⋮ Model-Free Variable Selection ⋮ Student sliced inverse regression ⋮ Principal minimax support vector machine for sufficient dimension reduction with contaminated data ⋮ The effect of data contamination in sliced inverse regression and finite sample breakdown point ⋮ Robust MAVE through nonconvex penalized regression ⋮ Robust functional sliced inverse regression ⋮ Robust dimension reduction based on canonical correlation ⋮ Robust inverse regression for dimension reduction ⋮ Robust estimating equation-based sufficient dimension reduction ⋮ Pooled marginal slicing approach via SIR\({}_\alpha\) with discrete covariates ⋮ Influence Functions for Sliced Inverse Regression ⋮ Isometric sliced inverse regression for nonlinear manifold learning ⋮ Trimming influential observations for improved single-index model estimated sufficient summary plots ⋮ Computational Outlier Detection Methods in Sliced Inverse Regression

Cites Work

• Unnamed Item
• Unnamed Item
• On almost linearity of low dimensional projections from high dimensional data
• Multivariate adaptive regression splines
• An asymptotic theory for sliced inverse regression
• Asymptotics for kernel estimate of sliced inverse regression
• Robustness properties of \(S\)-estimators of multivariate location and shape in high dimension
• Nearest neighbor inverse regression
• Principal Hessian Directions Revisited
• Determining the Dimension in Sliced Inverse Regression and Related Methods
• Sliced Inverse Regression for Dimension Reduction
• On Principal Hessian Directions for Data Visualization and Dimension Reduction: Another Application of Stein's Lemma
• Measurement Error Regression with Unknown Link: Dimension Reduction and Data Visualization
• Determining the Dimensionality in Sliced Inverse Regression
• On the Interpretation of Regression Plots
• Reweighting to Achieve Elliptically Contoured Covariates in Regression
• Graphics for Regressions With a Binary Response
• Theory & Methods: Special Invited Paper: Dimension Reduction and Visualization in Discriminant Analysis (with discussion)
• The Masking Breakdown Point of Multivariate Outlier Identification Rules
• Dimension Reduction in Binary Response Regression
• Identifying Regression Outliers and Mixtures Graphically
• Sliced inverse regression under linear constraints
• Comment

This page was built for publication: A note On outlier sensitivity of Sliced Inverse Regression