Robust statistics in data analysis — A review: Basic concepts

Keywords

Outlier, Robust statistics, Computer science, Chemometrics, Identification (biology)

References

• Robust Procedures in Multivariate Analysis I: Robust Covariance EstimationN. A. Campbell — 1980
• Mathematical statistics and applicationsW. Grossmann, G. Pflug, I. Vincze — 1985
• Handbook of Chemometrics and QualimetricsD.L. Massart, B. G. Vandeginste, L.M.C. Buydens — 1998
• From Data and Information Analysis to Knowledge Engineering, Proceedings of the 29th Annual Conference of the Gesellschaft für Klassifikation e.V., University of Magdeburg, March 9-11, 2005Gesellschaft für Klassifikation. Jahrestagung, Myra Spiliopoulou — 2006
• On the uniqueness of S-functionals and M-functionals under nonelliptical distributionsKay Tatsuoka, David E. Tyler — 2000
• New York 1987Gilbert Duclos — 2000
• PARAFAC2—Part II. Modeling chromatographic data with retention time shiftsRasmus Bro, Claus A. Andersson, Henk A. L. Kiers — 1999
• STATIS, a three-way method for data analysis. Application to environmental dataI. Stanimirova, Beata Walczak, D.L. Massart — 2004
• Partial robust M-regressionSven Serneels, Christophe Croux, Peter Filzmoser — 2005
• SIMPLS: an alternative approach to partial least squares regressionSijmen de Jong — 1993
• Projection-Pursuit Approach to Robust Dispersion Matrices and Principal Components: Primary Theory and Monte CarloGuoying Li, Zhonglian Chen — 1985
• Robust M-Estimators of Multivariate Location and ScatterRicardo A. Maronna — 1976
• A Fast Algorithm for the Minimum Covariance Determinant EstimatorPeter J. Rousseeuw, Katrien Van Driessen — 1999
• The kernel PCA algorithms for wide data. Part I: Theory and algorithmsW. Wu, D.L. Massart, S. De Jong — 1997
• ROBUST ESTIMATES, RESIDUALS, AND OUTLIER DETECTION WITH MULTIRESPONSE DATAR. Gnanadesikan, J. R. Kettenring — 1972
• The Influence Curve and Its Role in Robust EstimationFrank R. Hampel — 1974
• The Mahalanobis distanceRoy De Maesschalck, D. Jouan-Rimbaud, D.L. Massart — 2000
• HIGH BREAKDOWN-POINT AND HIGH EFFICIENCY ROBUST ESTIMATES FOR REGRESSIONVı́ctor J. Yohai — 1987
• Robust statistics: the approach based on influence functionsDavid Ruppert, Frank R. Hampel, Elvezio Ronchetti — 1986
• A Survey of Multidimensional MediansChristopher G. Small — 1990

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