The deepest regression method

DOI10.1006/jmva.2001.1997zbMath1010.62062OpenAlexW2066533688MaRDI QIDQ1604624

Mia Hubert, Stefan Van Aelst, Anja Struyf, Peter J. Rousseeuw

Publication date: 8 July 2002

Published in: Journal of Multivariate Analysis (Search for Journal in Brave)

Full work available at URL: https://repository.uantwerpen.be/docman/irua/ed550e/5151.pdf

zbMATH Keywords

regression depthsimultaneous confidence regionsMichaelis Menten model of enzyme kinetics

Mathematics Subject Classification ID

Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Parametric hypothesis testing (62F03) Robustness and adaptive procedures (parametric inference) (62F35) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45)

Related Items

On depth and deep points: A calculus., Computation of projection regression depth and its induced median, A survey of robust statistics, Depth notions for orthogonal regression, Online signal extraction by robust linear regression, An MCMC approach to classical estimation., High-breakdown robust multivariate methods, Non-asymptotic robustness analysis of regression depth median, The least trimmed quantile regression, Data depth for simple orthogonal regression with application to crack orientation, Unnamed Item, Robust regression quantiles., Efficient algorithms for maximum regression depth, Depth estimators and tests based on the likelihood principle with application to regression, Tests for multiple regression based on simplicial depth, Distribution-free tests for polynomial regression based on simplicial depth, Calculation of simplicial depth estimators for polynomial regression with applications, Robust learning from bites for data mining, Censored depth quantiles, Simplified simplicial depth for regression and autoregressive growth processes

Cites Work

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• Regression depth and center points.
• Least Median of Squares Regression
• Analysing Data from Hormone-Receptor Assays
• Regression Depth
• A Distribution-Free Test for Regression Parameters
• Convergence of stochastic processes
• Some quantitative relationships between two types of finite sample breakdown point
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