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Algebraic diagnosis of outliers

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Algebraic Geodesy and Geoinformatics

Abstract

In Chap. 7, we introduced parameter estimation from observational data sample and defined the models applicable to linear and nonlinear cases.

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  1. Aduol FWO (1987) Detection of outliers in geodetic networks using principal component analysis and bias parameter estimation. Institute of Geodesy, University of Stuttgart, Technical Report No. 2, Stuttgart

    Google Scholar 

  2. Aduol FWO (1994) Robust geodetic parameter estimation through iterative weighting. Survey Review 32: 359–367

    Google Scholar 

  3. Aduol FWO, Schaffrin B (1986) On outlier identification in geodetic networks using principal component analysis. Conference on Influential Data Analysis, University of Sheffield

    Google Scholar 

  4. Awange JL (2005): Diagnosis of Outlier of type Multipath in GPS Pseudo-range observations. Survey Review, 38: 177-189

    Google Scholar 

  5. Awange JL, Aduol FWO (1999) An evaluation of some robust estimation techniques in the estimation of geodetic parameters. Survey Review 35: 146–162

    Google Scholar 

  6. Awange JL, Aduol FWO (2002) An evaluation of some robust estimation techniques in the estimation of geodetic parameters-part II. Survey Review 36: 380–389

    Google Scholar 

  7. Baarda W (1967b) Statistical concepts in geodesy. The Netherlands geodetic commission, Publication in geodesy, New Series 2, No. 4 , Delft

    Google Scholar 

  8. Baarda W (1968a) Statistics - A compass for the land surveyor. Computing centre of the Delft Geodetic Institute, Delft

    Google Scholar 

  9. Baarda W (1968b) A testing procedure for use in geodetic networks. Publication in geodesy, New Series 2, No. 5 , Delft

    Google Scholar 

  10. Cheng C-L, Van Ness JW (1999) Statistical regression with measurement error. Oxford University Press, 198 Madison Avenue, New York

    Google Scholar 

  11. Gui Q, Zhang J (1998) Robust biased estimation and its applications in geodetic adjustments. Journal of Geodesy 72: 430–435

    Article  Google Scholar 

  12. Hampel FR, Ronchetti EM, Rousseeuw P, Stahel WA (1986) Robust Statistic - the approach based non influence Functions. John Wiley & Sons, New York

    Google Scholar 

  13. Heindl G (1982) Experiences with non-statistical method of detecting outliers. International symposium on geodetic network and computations of the I. A. G. Munich, Aug. 30th to Sept. 5, 5: 19–28

    Google Scholar 

  14. Huber PJ (1964) Robust estimation of a location parameter. Annals of Mathematical Statistics 35: 73–101

    Article  Google Scholar 

  15. Huber PJ (1972) Robust Statistics; A review. Annals of Mathematical Statistics 43: 1041–1067

    Article  Google Scholar 

  16. Huber PJ (1981) Robust Statistics. John Wiley & Sons, New York

    Book  Google Scholar 

  17. Kahmen H, Faig W (1988) Surveying. Walter de Gruyter, Berlin

    Google Scholar 

  18. Koch KR (1999) Parameter estimation and hypothesis testing in linear models. Springer, Berlin, Heidelberg

    Google Scholar 

  19. Koch KR (2001) Bermekung zu der Veröffentlichung “Zur Bestimmung eindeutiger transformationparameter”. Zeitschrift für Vermessungswesen 126: 297

    Google Scholar 

  20. Koch KR, Yang Y (1998a) Konfidenzbereiche und Hypothesenteste für robuste Parameterschätzungen. ZfV 123: 20–26

    Google Scholar 

  21. Koch KR, Yang Y (1998b) Robust Kalman filter for rank deficient observation models. Journal of Geodesy 72: 436–441

    Article  Google Scholar 

  22. Monhor D (2002) Clarification of and complements to the concept of outlier. Geodezia es Kartografia 12: 21–27

    Google Scholar 

  23. Mukherjee K (1996) Robust estimation in nonlinear regression via minimum distance method. Mathematical methods of statistics, Vol 5, No. 1, Allerton Press. Inc., New York

    Google Scholar 

  24. Saleh J (2000) Robust estimation based on energy minimization principles. Journal of Geodesy 74: 291–305

    Article  Google Scholar 

  25. Wieser A, Brunner FK, 2002 Short static GPS sessions: Robust estimation results. Journal of GPS Solutions 5: 70–79

    Article  Google Scholar 

  26. Xu P (1987) A test method for many outliers. I. T. C. Journal 4: 314–317

    Google Scholar 

  27. Xu P (1989a) Statistical criteria for robust methods. I. T. C. Journal 1: 37–40

    Google Scholar 

  28. Xu P (1989b) On robust estimation with correlated observations. Bull. Geod. 63: 237–252

    Article  Google Scholar 

  29. Yang Y (1999) Robust estimation of geodetic datum transformation. Journal of Geodesy 73: 268–274

    Article  Google Scholar 

  30. Yang Y, Cheng MK, Shum CK, Tapley BD (1999) Robust estimation of systematic errors of satellite laser range. Journal of Geodesy 73: 345–349

    Article  Google Scholar 

  31. Youcai H, Mertikas SP (1995) On the design of robust regression estimators. Man. Geod. 20: 145–160

    Google Scholar 

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Correspondence to Joseph L. Awange .

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Awange, J.L., Grafarend, E.W., Paláncz, B., Zaletnyik, P. (2010). Algebraic diagnosis of outliers. In: Algebraic Geodesy and Geoinformatics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12124-1_16

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