L p -methods for robust regression

DOI10.1007/BF01933114zbMath0279.62017MaRDI QIDQ4765879

Hakan Ekblom

Publication date: 1974

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) Linear regression; mixed models (62J05) Monte Carlo methods (65C05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (4)

A PROCEDURE FOR OBTAINING M-ESTIMATES IN REGRESSION MODELS WITH SERIALLY DEPENDENT ERRORS ⋮ Algorithms for the Huber estimator in multiple regression ⋮ Numerical methods for the nonlinear robust regression problem ⋮ On robust estimation in certainty equivalence control

Uses Software

• Algorithm 478

Cites Work

• Robust regression: Asymptotics, conjectures and Monte Carlo
• The Future of Data Analysis
• Robust Estimation of a Location Parameter
• On $L_1 $ Approximation II: Computation for Discrete Functions and Discretization Effects
• $L_p $-Criteria for the Estimation of Location Parameters
• Linear L ₁ Approximation for a Discrete Point Set and L ₁ Solutions of Overdetermined Linear Equations
• Robust Estimation of Straight Line Regression Coefficients by Minimizing pth Power Deviations
• Data analysis, computation and mathematics
• Robust Estimates of Location: Survey and Advances
• The 1972 Wald Lecture Robust Statistics: A Review
• Discrete approximation in the L1 norm
• Calculation of linear bestL p -approximations
• Norms for Smoothing and Estimation

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