Outlier detection by means of robust regression estimators for use in engineering science

Journal of Zhejiang University: Science A

Volumn 10, Issue 6, 2009, Pages 909-921

  Hekimoglu, Serif ^a   Erenoglu, R Cuneyt ^a   Kalina, Jan ^b  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

^b CHARLES UNIVERSITY   (Czech Republic)

Author keywords

Least median of squares (LMS); Least trimmed squares (LTS); Leverage point; Linear regression; Mean success rate (MSR); Outlier

Indexed keywords

LEAST MEDIAN OF SQUARES (LMS); LEAST TRIMMED SQUARES (LTS); LEVERAGE POINT; MEAN SUCCESS RATE (MSR); OUTLIER;

ELECTRIC FIELD MEASUREMENT; ESTIMATION; LASER TISSUE INTERACTION; REGRESSION ANALYSIS;

SYSTEMS ANALYSIS;

EID: 66749142546     PISSN: 1673565X     EISSN: 18621775     Source Type: Journal    
DOI: 10.1631/jzus.A0820140     Document Type: Article

References (31)

1. Barnett, V., Lewis, T., 1994. Outliers in Statistical Data (3rd Ed.). John Wiley and Sons, New York.
2. Chen, C., 2002. Robust Regression and Outlier Detection with the ROBUSTREG Procedure. SUGI Paper No.265-27. SAS Institute, Cary, NC.
3. Daniel, C., Wood, F.S., 1971. Fitting Equations to Data. Wiley, New York.
4. P.L. Davies 1993 Aspects of robust linear regression Ann. Stat. 21 4 1843 1899
5. P.L. Davies U. Gather 2005 Breakdown and groups with discussion and rejoinder Ann. Stat. 33 3 977 1035
6. Donoho, D.L., 1982. Breakdown Properties of Multivariate Location Estimators. PhD Qualifying Paper, Harvard University, Boston.
7. Donoho, D.L., Huber, P.J., 1983. The Notion of Breakdown Point. In: Bickel, P.J., Doksum, K., Hodges, J.L.J. (Eds.), A Festschrift for Erich L. Lehmann. Wadsworth, Belmont, p.157-184.
8. U. Gather T. Hilker 1997 A note on Tyler's modification of the MAD for the Stahel-Donoho estimator Ann. Stat. 25 5 2024 2026
9. A.S. Hadi J.S. Simonoff 1993 Procedures for the identification of multiple outliers in linear models J. Am. Stat. Assoc. 88 424 1264 1272
10. Hampel, F.R., 1968. Contributions to the Theory of Robust Estimation. PhD Thesis, University of California, Berkeley.
11. F.R. Hampel 1971 A general qualitative definition of robustness Ann. Math. Stat. 42 6 1887 1896
12. F.R. Hampel 1975 Beyond location parameters: robust concepts and methods (with discussion) Bull. Inst. Int. Stat. 46 375 391
13. Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.R., Shatel, W.A., 1986. Robust Statistics: The Approach Based on Influence Functions. Wiley, New York.
14. S. Hekimoglu 1997 Finite sample breakdown points of outlier detection procedures ASCE J. Surv. Eng. 123 1 15 31
15. S. Hekimoglu 2005 Do robust methods identify outliers more reliably than conventional test for outlier? Zeitschrift für Vermessungwesen 3 174 180 (Pubitemid 40865269)
16. Hekimoglu, S., Koch, K.R., 1999. How Can Reliability of the Robust Methods Be Measured? In: Altan, M.O., Gründig, L. (Eds.), Third Turkish-German Joint Geodetic Days, 1:179-196.
17. Hekimoglu, S., Erenoglu, R.C., 2005. Estimation of Parameters for Linear Regression Using Median Estimator. Int. Conf. on Robust Statistics, University of Jyvaskyla, Finland, p.26.
18. S. Hekimoglu R.C. Erenoglu 2007 Effect of heteroscedasticity and heterogeneousness on outlier detection for geodetic networks J. Geod. 81 2 137 148 (Pubitemid 46196023)
19. Huber, P.J., 1981. Robust Statistics. John Wiley and Sons, New York.
20. B. Kamgar-Parsi N.S. Netanyahu 1989 A nonparametric method for fitting a straight line to a noisy image IEEE Trans. Pattern Anal. Mach. Intell. 11 9 998 1001 (Pubitemid 20617694)
21. H.P. Lopuhaa P.J. Rousseeuw 1991 Breakdown points of affine equivariant estimators of multivariate location and covariance matrices Ann. Stat. 19 1 229 248
22. P.J. Rousseeuw 1984 Least median of squares regression J. Am. Stat. Assoc. 79 388 871 880
23. Rousseeuw, P.J., 1985. Multivariate Estimation with High Breakdown Point. In: Grossman, W., Pflug, G., Vincze, I., Werz, W. (Eds.), Mathematical Statistics and Applications. Reidel, Dordrecht, p.283-297.
24. Rousseeuw, P.J., Leroy, A.M., 1987. Robust Regression and Outlier Detection. John Wiley and Sons, New York.
25. P.K. Sen 1968 Estimates of the regression coefficient based on Kendall's tau J. Am. Stat. Assoc. 63 324 1379 1389
26. Shevlyakov, G.L., Vilchevski, N.O., 2001. Robustness in Data Analysis: Criteria and Methods. VSP International Science Publishers, Utrecht.
27. A.F. Siegel 1982 Robust regression using repeated medians Biometrika 69 1 242 244
28. Stahel, W.A., 1981. Breakdown of Covariance Estimators. Research Rep. 31, Fachgruppe für Statistik, ETH, Zurich.
29. Staudte, R.G., Sheather, S.J., 1990. Robust Estimation and Testing. Wiley, New York.
30. A.J. Stromberg 1993 Computing the exact least median of squares estimate and stability diagnostics in multiple linear regression SIAM J. Sci. Comput. 14 6 1289 1299
31. H. Theil 1950 A rank-invariant method of linear and polynomial regression analysis Nederlandse Akademie Wetenchappen Series A 53 386 392