Abstract
In Chap. 7, we introduced parameter estimation from observational data sample and defined the models applicable to linear and nonlinear cases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
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
Aduol FWO (1994) Robust geodetic parameter estimation through iterative weighting. Survey Review 32: 359–367
Aduol FWO, Schaffrin B (1986) On outlier identification in geodetic networks using principal component analysis. Conference on Influential Data Analysis, University of Sheffield
Awange JL (2005): Diagnosis of Outlier of type Multipath in GPS Pseudo-range observations. Survey Review, 38: 177-189
Awange JL, Aduol FWO (1999) An evaluation of some robust estimation techniques in the estimation of geodetic parameters. Survey Review 35: 146–162
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
Baarda W (1967b) Statistical concepts in geodesy. The Netherlands geodetic commission, Publication in geodesy, New Series 2, No. 4 , Delft
Baarda W (1968a) Statistics - A compass for the land surveyor. Computing centre of the Delft Geodetic Institute, Delft
Baarda W (1968b) A testing procedure for use in geodetic networks. Publication in geodesy, New Series 2, No. 5 , Delft
Cheng C-L, Van Ness JW (1999) Statistical regression with measurement error. Oxford University Press, 198 Madison Avenue, New York
Gui Q, Zhang J (1998) Robust biased estimation and its applications in geodetic adjustments. Journal of Geodesy 72: 430–435
Hampel FR, Ronchetti EM, Rousseeuw P, Stahel WA (1986) Robust Statistic - the approach based non influence Functions. John Wiley & Sons, New York
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
Huber PJ (1964) Robust estimation of a location parameter. Annals of Mathematical Statistics 35: 73–101
Huber PJ (1972) Robust Statistics; A review. Annals of Mathematical Statistics 43: 1041–1067
Huber PJ (1981) Robust Statistics. John Wiley & Sons, New York
Kahmen H, Faig W (1988) Surveying. Walter de Gruyter, Berlin
Koch KR (1999) Parameter estimation and hypothesis testing in linear models. Springer, Berlin, Heidelberg
Koch KR (2001) Bermekung zu der Veröffentlichung “Zur Bestimmung eindeutiger transformationparameter”. Zeitschrift für Vermessungswesen 126: 297
Koch KR, Yang Y (1998a) Konfidenzbereiche und Hypothesenteste für robuste Parameterschätzungen. ZfV 123: 20–26
Koch KR, Yang Y (1998b) Robust Kalman filter for rank deficient observation models. Journal of Geodesy 72: 436–441
Monhor D (2002) Clarification of and complements to the concept of outlier. Geodezia es Kartografia 12: 21–27
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
Saleh J (2000) Robust estimation based on energy minimization principles. Journal of Geodesy 74: 291–305
Wieser A, Brunner FK, 2002 Short static GPS sessions: Robust estimation results. Journal of GPS Solutions 5: 70–79
Xu P (1987) A test method for many outliers. I. T. C. Journal 4: 314–317
Xu P (1989a) Statistical criteria for robust methods. I. T. C. Journal 1: 37–40
Xu P (1989b) On robust estimation with correlated observations. Bull. Geod. 63: 237–252
Yang Y (1999) Robust estimation of geodetic datum transformation. Journal of Geodesy 73: 268–274
Yang Y, Cheng MK, Shum CK, Tapley BD (1999) Robust estimation of systematic errors of satellite laser range. Journal of Geodesy 73: 345–349
Youcai H, Mertikas SP (1995) On the design of robust regression estimators. Man. Geod. 20: 145–160
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2010 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
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
Download citation
DOI: https://doi.org/10.1007/978-3-642-12124-1_16
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-12123-4
Online ISBN: 978-3-642-12124-1
eBook Packages: Earth and Environmental ScienceEarth and Environmental Science (R0)