Alternative methods of linear regression

DOI10.1016/S0895-7177(01)00170-4zbMath1010.62063OpenAlexW3122595916MaRDI QIDQ1609471

Avi Giloni, Manfred W. Padberg

Publication date: 15 August 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0895-7177(01)00170-4

zbMATH Keywords

linear programminguniquenessoptimalityleast squaresabsolute deviationsChebychev regressionl-norms

Mathematics Subject Classification ID

Linear regression; mixed models (62J05)

Related Items

Least trimmed squares regression, least median squares regression, and mathematical program\-ming ⋮ Locating hyperplanes to fitting set of points: a general framework ⋮ Combined regression models ⋮ Sharp non-asymptotic performance bounds for \(\ell_1\) and Huber robust regression estimators ⋮ Dealing with the multiplicity of solutions of the \(\ell _{1}\) and \(\ell _{\infty }\) regression models

Uses Software

• SenSrivastava

Cites Work

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• Linear optimization and extensions
• The Minimum Sum of Absolute Errors Regression: A State of the Art Survey
• Tests of Linear Hypotheses and l"1 Estimation
• The Method of Least Squares and Some Alternatives: Part I
• The Method of Least Squares and Some Alternatives: Part II
• The Method of Least Squares and Some Alternatives: Part III
• The Method of Least Squares and Some Alternatives: Part IV
• An Example of the Large Sample Behavior of the Midrange
• The Method of Least Squares and Some Alternatives: Part V
• Nonuniqueness of least absolute values regression
• Regression Quantiles
• Asymptotic Theory of Least Absolute Error Regression
• Portfolio Analysis in a Stable Paretian Market
• Mean-Absolute-Deviation Characteristic Lines for Securities and Portfolios
• Two Linear Programming Algorithms for Unbiased Estimation of Linear Models