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Robust Regression Examples

References

Afifi, A. A. and Azen, S. P. (1972), 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.

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.

Chen, C. (2002), Developments in Robust Statistics: International Conference on Robust Statistics, chapter Robust Tools in SAS, 125–133, 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,” The Astrophysical Journal Supplement Series, 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 W. Grossmann, G. Pflug, I. Vincze, and W. Wertz, eds., Mathematical Statistics and Applications, 283–297, Dordrecht: Reidel Publishing.

Rousseeuw, P. J. and Hubert, M. (1996), “Recent Development in PROGRESS,” Computational Statistics and Data Analysis, 21, 67–85.

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

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), Data Analysis: Scientific Modeling and Practical Application, chapter An Algorithm for Positive-Breakdown Regression Based on Concentration Steps, 335–346, New York: Springer Verlag.

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,” Astrophysics and Space Science, 87, 377–401.

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