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Article

Computing S Estimators for Regression and Multivariate Location/Dispersion

Pages 253-270 | Received 01 Aug 1991, Published online: 21 Feb 2012

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Pakize Taylan, Fatma Yerlikaya-Özkurt, Burcu Bilgiç Uçak & Gerhard-Wilhelm Weber. (2021) A new outlier detection method based on convex optimization: application to diagnosis of Parkinson’s disease. Journal of Applied Statistics 48:13-15, pages 2421-2440.
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Fatma Yerlikaya-Özkurt & Pakize Taylan. (2020) New computational methods for classification problems in the existence of outliers based on conic quadratic optimization. Communications in Statistics - Simulation and Computation 49:3, pages 753-770.
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Hamid Shahriari & Orod Ahmadi. (2015) Robust estimation of the mean vector for high-dimensional data set using robust clustering. Journal of Applied Statistics 42:6, pages 1183-1205.
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Malika Cheikh. (2014) Comparative Study of Robust Estimators Based on a Sensitivity Coefficient in Principal Component Analysis. Communications in Statistics - Simulation and Computation 43:10, pages 2639-2648.
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Nima Shariati, Hamid Shahriari & Rasoul Shafaei. (2014) Parameter Estimation of Autoregressive Models Using the Iteratively Robust Filtered Fast-τ Method. Communications in Statistics - Theory and Methods 43:21, pages 4445-4470.
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Olcay Arslan. (2004) On the Computation and Finite Sample Behavior of the Constrained M-Estimates for Multivariate Location and Scatter. Communications in Statistics - Simulation and Computation 33:3, pages 685-701.
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Mihoko V. Bennett & Thomas R. Willemain. (2001) Resistant estimation of multivariate location using minimum spanning trees. Journal of Statistical Computation and Simulation 69:1, pages 19-40.
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ArnoldJ. Stromberg, Ola Hössjer & DouglasM. Hawkins. (2000) The Least Trimmed Differences Regression Estimator and Alternatives. Journal of the American Statistical Association 95:451, pages 853-864.
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T. P. Hettmansperger, J. Möttönen & H. Oja. (1999) The geometry of the affine invariant multivariate sign and rank methods. Journal of Nonparametric Statistics 11:1-3, pages 271-285.
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DavidM. Rocke & DavidL. Woodruff. (1996) Identification of Outliers in Multivariate Data. Journal of the American Statistical Association 91:435, pages 1047-1061.
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ThomasP. Ryan. (1995) Comment on Hadi and Simonoff. Journal of the American Statistical Association 90:430, pages 811-811.
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Ola HÖssjer & Christophe Croux. (1995) Generalizing univariate signed rank statistics for testing and estimating a multivariate location parameter. Journal of Nonparametric Statistics 4:3, pages 293-308.
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A.C. Atkinson. (1994) Fast Very Robust Methods for the Detection of Multiple Outliers. Journal of the American Statistical Association 89:428, pages 1329-1339.
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Christophe Croux, PeterJ. Rousseeuw & Ola Hössjer. (1994) Generalized S-Estimators. Journal of the American Statistical Association 89:428, pages 1271-1281.
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DavidL. Woodruff & DavidM. Rocke. (1994) Computable Robust Estimation of Multivariate Location and Shape in High Dimension Using Compound Estimators. Journal of the American Statistical Association 89:427, pages 888-896.
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Marianthi Markatou & Xuming He. (1994) Bounded Influence and High Breakdown Point Testing Procedures in Linear Models. Journal of the American Statistical Association 89:426, pages 543-549.
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Ola Hössjer. (1994) Rank-Based Estimates in the Linear Model with High Breakdown Point. Journal of the American Statistical Association 89:425, pages 149-158.
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ClintW. Coakley & ThomasP. Hettmansperger. (1993) A Bounded Influence, High Breakdown, Efficient Regression Estimator. Journal of the American Statistical Association 88:423, pages 872-880.
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