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Robust Regression Examples

References

Afifi, A. A. and Azen, S. P. (1979), Statistical Analysis: A Computer Oriented Approach, New York: Academic Press.

Barnett, V. and Lewis, T. (1978), Outliers in Statistical Data, New York: John Wiley & Sons, Inc.

Barreto, H. and Maharry, D. (2006), "Least Median of Squares and Regression Through the Origin," Computatitional Statistics and Data Analysis, 50, 1391 - 1397.

Brownlee, K. A. (1965), Statistical Theory and Methodology in Science and Engineering, New York: John Wiley & Sons, Inc.

Chen, C. (2002), "Robust Tools in SAS," in Developments in Robust Statistics: International Conference on Robust Statistics 2001, (ed. by R. Dutter, P. Filzmoser, U. Gather, and P. J. Rousseeuw), Heidelberg: Springer-Verlag.

Ezekiel, M. and Fox, K. A. (1959), Methods of Correlation and Regression Analysis, New York: John Wiley & Sons, Inc.

Hawkins, D. M., Bradu, D., and Kass, G. V. (1984), ``Location of Several Outliers in Multiple Regression Data Using Elemental Sets,'' Technometrics, 26, 197 - 208.

Humphreys, R. M. (1978), ``Studies of Luminous Stars in Nearby Galaxies, I. Supergiants and O Stars in the Milky Way,'' Astrophys. J. Suppl. Ser., 38, 309-350.

Jerison, H. J. (1973), Evolution of the Brain and Intelligence, New York: Academic Press.

Osborne, M. R. (1985), Finite Algorithms in Optimization and Data Analysis, New York: John Wiley & Sons, Inc.

Prescott, P. (1975), "An Approximate Test for Outliers in Linear Models," Technometrics, 17, 129 - 132.

Rousseeuw, P. J. (1984), "Least Median of Squares Regression," Journal of the American Statistical Association, 79, 871 - 880.

Rousseeuw, P. J. (1985), "Multivariate Estimation with High Breakdown Point," in Mathematical Statistics and Applications, (ed. by W. Grossmann, G. Pflug, I. Vincze, and W. Wertz), Dordrecht, Netherlands: Reidel Publishing Company, 283 - 297.

Rousseeuw, P. J. and Hubert, M. (1996), "Recent Developments in PROGRESS," Technical Report, University of Antwerp.

Rousseeuw, P. J. and Leroy, A. M. (1987), Robust Regression and Outlier Detection, New York: John Wiley & Sons, Inc.

Rousseeuw, P. J. and Van Driessen, K. (1999), ``A Fast Algorithm for the Minimum Covariance Determinant Estimator,'' Technometrics, 41, 212 - 223.

Rousseeuw, P. J. and Van Driessen, K. (2000), ``An Algorithm for Positive-Breakdown Regression Based on Concentration Steps,'' Data Analysis: Scientific Modeling and Practical Application, (ed. by W. Gaul, O. Opitz, and M. Schader), New York: Springer Verlag, 335 - 346.

Rousseeuw, P. J. and Van Zomeren, B. C. (1990), "Unmasking Multivariate Outliers and Leverage Points," Journal of the American Statistical Association, 85, 633 - 639.

Vansina, F., and De Greve, J. P. (1982), "Close Binary Systems Before and After Mass Transfer," Astrophys. Space Sci., 87, 377-401.

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