Effectiveness of robust methods in heterogeneous linear models

Journal of Geodesy

Volumn 76, Issue 11-12, 2003, Pages 706-713

  Hekimoglu, S ^a   Berber, M ^a  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Effectiveness; Heterogeneous; Heteroscedastic; Homoscedastic; Robust estimation

Indexed keywords

ESTIMATION METHOD; GPS; HETEROGENEITY; LINEAR PROGRAMING;

EID: 0037368068     PISSN: 09497714     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00190-002-0289-y     Document Type: Article

References (27)

1. Andrews D (1974) A robust method for multiple linear regression. Technometrics 16: 523-531
2. Benning W (1995) Vergleich dreier Lp-Schaetzer zur Fehlersuche in hybriden Lagenetzen. Z Vermessungswesen 12: 606-617
3. Berber M, Hekimoglu S (2001) What is the reliability of robust estimators in networks? In: Carosio A, Kutterer H (eds) First Int Symp on Robust Statistics and Fuzzy Techniques in Geodesy and GIS, ETH, Zürich, 12-16 March, IGP-Bericht Nr. 295, pp 61-66
4. Bickel PJ (1978) Using residuals robustly I: tests for heteroscedasticity, nonlinearity. Ann Statist 6(2): 266-291
5. Box GEP, Hill WJ (1974) Correcting inhomogeneity of variance with power transformation weighting. Technometrics 16: 385-389
6. Carroll RJ, Ruppert D (1982) Robust estimation in heteroscedastic linear models. Ann Statist 10(2): 429-441
7. Chatterjee S, Hadi AS (1988) Sensitivity analysis in linear regression. John Wiley, New York
8. Fuchs H (1982) Contribution to the adjustment by minimizing the sum of absolute residuals. Manuser Geod 7: 151-207
9. Gao Y, Krakiwsky EJ, Czompo J (1992) Robust testing procedure for detection of multiple blunders. J Surv Engng, ASCE 118(1): 11-23
10. 1 method. Aust J Geod Photogram Surv 59: 39-52
11. Hekimoglu S (1997) The finite sample breakdown points of the conventional iterative outlier detection procedures. J Surv Engrg, ASCE 123(1): 15-31
12. Hekimoglu S, Berber M (2001) Reliability of robust methods in heteroscedastic linear models. IAG 2001, Scientific Assembly, Budapest, 2-7 September, abstracts book: 53
13. Hekimoglu S, Koch KR (1999) How can reliability of the robust methods be measured? In: Altan MO, Gründig L (eds) Third Turkish-German Joint Geodetic Days, Istanbul, 1-4 June, 1: 179-196
14. Huber PJ (1964) Robust estimation of a location parameter. Ann Math Statist 35: 73-101
15. Huber PJ (1981) Robust statistics. John Wiley, New York
16. Jobson JD, Fuller WA (1980) Least squares estimation when the covariance matrix and parameter vector are functionally related. J Am Statist Assoc 75: 176-181
17. Kampmann G (1989) Zur Ausgleichung freier Netze mit der L1-Norm Methode. Allg Vermessungs-Nachr 96: 110-118
18. Kock KR (1996) Robuste Parameterschaetzung. All Vermessungs-Nachr 103: 1-18
19. Koch KR (1999) Parameter estimation and hypothesis testing in linear models, 2nd edn. Springer, Berlin Heidelberg New York
20. Wilcox RR (1997) Introduction to robust estimation and hypothesis testing. Academic Press, New York
21. Xu PL (1989a) Statistical criteria for robust methods. ITC Jnl 1: 37-40
22. Xu PL (1989b) On robust estimation with correlated observations. Bull Geod 63: 237-252
23. Xu PL (1993) Consequences of constant parameters and confidence intervals of robust estimation. Boll Geod Sci Aff 52: 231-249
24. Yang Y (1991) Robust bayesian estimation. Bull Geod 65: 145-150
25. Yang Y (1994) Robust estimation for dependent observations. Manuscr Geod 19: 10-17
26. Yang Y (1999) Robust estimation of geodetic datum transformation. J Geod 73: 268-274
27. Youcai H (1995) On the design of estimators with high breakdown points for outliers identification in triangulation networks. Bull Geod 69: 292-299