Robust estimation for correlated observations: Two local sensitivity-based downweighting strategies

Journal of Geodesy

Volumn 84, Issue 4, 2010, Pages 243-250

  Guo, Jianfeng ^a,b   Ou, Jikun ^b   Wang, Haitao ^b  

^a INFORMATION ENGINEERING UNIVERSITY   (China)

^b Wuhan National Laboratory for Optoelectronics   (China)

Author keywords

Correlated observations; Equivalent weight; GPS network; Robust estimation; Sensitivity analysis

Indexed keywords

COMPUTER SIMULATION; CORRELATION; EFFICIENCY MEASUREMENT; ESTIMATION METHOD; GEODESY; GEODETIC NETWORK; GPS; LEAST SQUARES METHOD; MONTE CARLO ANALYSIS; NUMERICAL MODEL; SENSITIVITY ANALYSIS;

EID: 77952430323     PISSN: 09497714     EISSN: 14321394     Source Type: Journal    
DOI: 10.1007/s00190-009-0361-y     Document Type: Article

References (35)

1. Castillo E, Hadi AS, Conejo A, Fernández-Canteli A (2004) A general method for local sensitivity analysis with application to regression models and other optimization problems. Technometrics 46(4): 430-444.
2. Chang X, Guo Y (2005) Huber's M-estimation in relative GPS positioning: computational aspects. J Geod 79(6-7): 351-362.
3. Chatterjee S, Hadi AS (1988) Sensitivity analysis in linear regression. John Wiley and Sons, New York.
4. Cook RD (1977) Detection of influential observations in linear regression. Technometrics 19(1): 15-18.
5. Cross PA, Price DR (1985) A strategy for the distinction between single and multiple gross errors in geodetic networks. Manuscr Geod 10(3): 172-178.
6. Ding X, Coleman R (1996) Sensitivity analysis in Gauss-Markov models. J Geod 70(8): 480-488.
7. Grafarend EW, Sanso F (1985) Optimization and design of geodetic networks. Springer, Heidelberg.
8. Grafarend EW, Schaffrin B (1993) Adjustment computations in linear models (in German). Bibliograph Inst, Manheim, Germany.
9. Guo J (2007) Theory of model errors and its applications in GPS data processing (in Chinese). PhD thesis, Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan, China.
10. Guo J, Ou J, Ren C (2005) Partial continuation model and its application in mitigating systematic errors of double-differenced GPS measurements. Prog Nat Sci 15(3): 246-251.
11. Guo J, Ou J, Wang H (2007) Quasi-accurate detection of outliers for correlated observations. J Surv Eng 133(3): 129-133.
12. Hampel FR (2001) Robust statistics. In: Proceedings of the 1st international symposium on robust statistics and fuzzy techniques in geodesy and GIS, Zurich, Switzerland, pp 13-17.
13. Hampel FR, Ronchetti EM, Rousseeuw PJ, Stahel WA (1986) Robust statistics: the approach based on influence functions. John Wiley and Sons, New York.
14. Huber PJ (1964) Robust estimation of a location parameter. Ann Math Stat 35(2): 73-101.
15. Huber PJ (1981) Robust statistics. John Wiley and Sons, New York.
16. Koch KR (1999) Parameter estimation and hypothesis testing in linear models, 2nd edn. Springer, Berlin.
17. Leick A (2004) GPS satellite surveying, 3rd edn. John Wiley and Sons, New York.
18. Rao CR, Toutenburg H (1995) Linear models: least squares and alternatives. Springer, Berlin.
19. Rousseeuw PJ, Leroy AM (1987) Robust regression and outlier detection. John Wiley and Sons, New York.
20. Schaffrin B (1997) Reliability measures for correlated observations. J Surv Eng 123(3): 126-137.
21. Snow K (2002) Applications of parameter estimation and hypothesis testing to GPS network adjustments. Rep 465, Dept of Civil and Environmental Engineering and Geodetic Science, Ohio State University, Columbus.
22. Snow K, Schaffrin B (2007) GPS-network analysis with BLIMPBE: an alternative to least-squares adjustment for better bias control. J Surv Eng 133(3): 114-122.
23. Teunissen PJG (1998) Minimal detectable biases of GPS data. J Geod 72(4): 236-244.
24. Wang J, Satirapod C, Rizos C (2002) Stochastic assessment of GPS carrier phase measurements for precise static relative positioning. J Geod 76(2): 95-104.
25. Wieser A, Brunner FK (2002) Short static GPS sessions: robust estimation results. GPS Solut 5(3): 70-79.
26. Wolf PR, Ghilani CD (1997) Adjustment computations: statistics and least squares in surveying and GIS, 3rd edn. John Wiley and Sons, New York.
27. Xu P (1989a) Statistical criteria for robust estimation methods. ITC J (1): 37-40.
28. Xu P (1989b) On robust estimation with correlated observations. Bull Geod 63(3): 237-252.
29. Xu P (1993) Consequences of constant parameters and confidence. intervals of robust estimation. Boll Geod Sci Aff 52(3): 231-249.
30. Xu P (2005) Sign-constrained robust least squares, subjective breakdown point and the effect of weights of observations on robustness. J Geod 79(1-3): 146-159.
31. Yang Y (1994) Robust estimation for dependent observations. Manuscr Geod 19(1): 10-17.
32. Yang Y (1997) Estimators of covariance matrix at robust estimation based on influence functions. Zeitschrift fuer. Vermessungswesen 122(4): 166-174.
33. Yang Y (1999) Robust estimation of geodetic datum transformation. J Geod 73(5): 268-274.
34. Yang Y, Cheng MK, Shum CK, Tapley BD (1999) Robust estimation of systematic errors of satellite laser range. J Geod 73(7): 345-349.
35. Yang Y, Song L, Xu T (2002) Robust estimator for correlated observations based on bifactor equivalent weights. J Geod 76(6-7): 353-358.