Computing the least quartile difference estimator in the plane

DOI10.1016/j.csda.2006.12.039zbMath1452.62030OpenAlexW2086053484MaRDI QIDQ1020878

Robin Nunkesser, Karen Schettlinger, Thorsten Bernholt

Publication date: 2 June 2009

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

Full work available at URL: http://hdl.handle.net/2003/21756

zbMATH Keywords

computational geometryrobust regressioncomputational statisticsleast median of squares (LMS)least quantile of squares (LQS)least quartile difference (LQD)

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Linear regression; mixed models (62J05) Analysis of algorithms and problem complexity (68Q25) Robustness and adaptive procedures (parametric inference) (62F35)

Related Items

Editorial: Special issue on statistical algorithms and software

Uses Software

• PROGRESS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Parametric search made practical
• An exchange algorithm for computing the least quartile difference estimator
• Least median of squares and regression through the origin
• The power of geometric duality
• \(k\)-violation linear programming
• The complexity of hyperplane depth in the plane
• Geometric applications of a randomized optimization technique
• Least Median of Squares Regression
• Computing Least Median of Squares Regression Lines and Guided Topological Sweep
• On k-Hulls and Related Problems
• Combinatorial Optimization with Rational Objective Functions
• Generalized S-Estimators
• Constructing Planar Cuttings in Theory and Practice
• Regression Depth
• Highly Resistant Regression and Object Matching