Least Median of Squares Regression

Keywords

Mathematics, Statistics, Estimator, Simple linear regression, Total least squares

References

• Efficiency in normal samples and tolerance of extreme values for some estimates of locationJ. L. Hodges — 1967
• A Robust Method for Multiple Linear RegressionDavid Andrews — 1974
• Efficient Bounded-Influence Regression EstimationWilliam S. Krasker, Roy E. Welsch — 1982
• Estimation in Linear Regression Models with Disparate Data PointsWilliam S. Krasker — 1980
• Estimates of the Regression Coefficient Based on Kendall's TauPranab Kumar Sen — 1968
• Nonuniqueness of least absolute values regressionH. Leon Harter — 1977
• One-Step Huber Estimates in the Linear ModelPeter J. Bickel — 1975
• Estimating Regression Coefficients by Minimizing the Dispersion of the ResidualsLouis A. Jaeckel — 1972
• The Fitting of Power Series, Meaning Polynomials, Illustrated on Band-Spectroscopic DataAlbert E. Beaton, John W. Tukey — 1974
• The Change-of-Variance Curve and Optimal Redescending M-EstimatorsFrank R. Hampel, Peter J. Rousseeuw, Elvezio Ronchetti — 1981
• A robust comparison of biological shapes.Andrew F. Siegel, Richard H. Benson — 1982
• Robust Regression: Asymptotics, Conjectures and Monte CarloPeter J. Huber — 1973
• Gauss and the Invention of Least SquaresStephen M. Stigler — 1981
• Robust estimates of location : survey and advancesDavid Andrews, Frank R. Hampel — 1975
• A General Qualitative Definition of RobustnessFrank R. Hampel — 1971
• Robust regression using repeated mediansAndrew F. Siegel — 1982
• Robuste Schätzungen: infinitesimale Optimalität und Schätzungen von KovarianzmatrizenWerner A. Stahel — 1981
• Robust Estimates of Location: Survey and Advances.D. V. Hinkley, D. F. Andrews, P. J. Bickel — 1975
• Robust Estimates of Location: Survey and Advances.P. Prescott, David Andrews, Peter J. Bickel — 1975
• Applied Regression Analysis.C. L. Mallows, N. R. Draper, H. Smith — 1967

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• A comparison of alternatives to regression analysis as model building techniques to develop predictive equations for software metricsAndrew Gray, Stephen MacDonell — 1996
• Linking data to models: data regressionM Contal, G Masson, C Boyer — 2006
• Robust statistics in data analysis — A review: Basic conceptsM. Daszykowski, Krzysztof Kaczmarek, Yvan Vander Heyden — 2007
• Quantitative prediction of tumor response to neoadjuvant chemotherapy in breast cancer: novel marker genes and prediction model using the expression levels张南 — 2011
• Estimating demographic parameters from large-scale population genomic data using Approximate Bayesian ComputationCharles H. Fox — 2012
• Robust Preprocessing of Time Series with TrendsRoland Fried, Ursula Gather — 2002
• Reverse Engineering from Exact and Noisy Data of Objects Defined by Algebraic Surface PatchesMichel Bercovier, Moshe Luzon, Elan Pavlov — 2003
• Pose Estimation for Augmented Reality: A Hands-On SurveyCarla Cimino — 2016
• Robust surface normal estimation via greedy sparse regressionMingjing Zhang, Mark S. Drew — 2015
• Visualizing Big Data Outliers Through Distributed Aggregation輝明 遠藤 — 2018
• Robust identification of target genes and outliers in triple-negative breast cancer dataIsabel Gentil García, Marina Fontán Jiménez, Clara Gallego López — 2018
• A HYBRID MACHINE LEARNING USING MAMDANI TYPE FUZZY INFERENCE SYSTEM (FIS) FOR SOLAR POWER PREDICTIONMd Rahat Hossain, Amanullah Maung Than Oo, A B M Shawkat Ali — 2013
• Using Constraint Lines for Estimating EgomotionManolis Lourakis — 2006
• An R Package for Evolutionary ComputationRobin Nunkesser — 2008
• Statistical Foundations for Econometric TechniquesAsad Zaman — 1996
• Is there a critical gestational age in neutrophil superoxide production activity?Kiyoshi Ishida, Kiyomi Tsukimori, Hiromi Nagata — 1995
• Robust Estimation in Multivariate Control Charts for Individual ObservationsN José Alberto Vargas — 2003
• Reexamining the Robustness of the Market Value of EquityXavier Garza–Gómez, Jiro Hodoshima, Michio Kunimura — 2000

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