Effectiveness of chosen robust estimation methods compared to the level of network reliability

Journal title

Geodesy and Cartography




vol. 60


No 1



adjustment ; robust estimation ; internal reliability ; effectiveness of method

Divisions of PAS

Nauki Techniczne


Commitee on Geodesy PAS




Artykuły / Articles


DOI: 10.2478/v10277-012-0014-9 ; ISSN 2080-6736


Geodesy and Cartography; 2011; vol. 60; No 1


Aduol F.W.O., (1999): <i>Robust geodetic parameter estimation under least squares through weighting on the basis of the mean square error</i>, Technical Reports of the Department of Geodesy and Geomatics, University of Stuttgart, Report No 1999.6-1, pp. 5-15. ; Baarda W. (1968), A testing procedure for use in geodetic networks, 2. ; Cross P. (1985), A strategy for the distinction between single and multiple gross errors in geodetic networks, Manuscripta Geodaetica, 10, 4, 172. ; Ding X. (1996), Multiple outlier detection by evaluating redundancy contributions of observations, Journal of Geodesy, 70, 489, ; Ethrog U. (1991), Statistical test of significance for testing outlying observation, Survey Review, 31, 240, 62, ; Gui Q. (2007), A Bayesian approach to the detection of gross errors based on posterior probability, Journal of Geodesy, 81, 651, ; Hekimoglu S. (2003), Effectiveness of robust methods in heterogeneous linear models, Journal of Geodesy, 76, 706, ; Huber P. (1964), Robust estimation of a location parameter, Ann. Math. Statist, 35, 73, ; Kadaj R. (1984), Die Methode der besten Alternative: ein Ausgleichungsprinzip für Beobachtungssysteme, ZfV, 109, 6, 301. ; Kadaj R. (1988), Eine verallgemeinerte Klasse von Schätzverfahren mit praktichen Anwendungen, ZfV, 113, 4, 157. ; Kamiński W. (2000), Robust Bayesian estimation in geodetic network (in Polish). ; Kamiński W. (1992), Analysis of chosen, resistant to gross errors, methods of adjustment of geodetic observations. Part II. Analysis (in Polish), Geodesy and Cartography, XLI, 3-4, 183. ; Kamiński W. (1994), The method of growing rigor for the adjustment of geodetic observations contaminated by gross errors, Manuscripta Geodaetica, 19, 2, 55. ; Knight N. (2009), A Comparison of Outlier Detection Procedures and Robust Estimation Methods in GPS Positioning, Journal of Navigation, 62, 699, ; Nowak J., (2002): <i>Research of reliability properties of photogrammetric techniques in aspect of engineering applications</i> (in Polish), PhD thesis, Warsaw University of Technology, Warsaw. ; Pope A.J., (1976): <i>The statistics of residuals and the detection of outliers</i>, NOAA Technical Report NOS65 NGS1, U.S. Department of Commerce, National Oceanic and Atmospheric Administration, National Ocean Survey, Geodetic Research and Development Laboratory, National Geodetic Survey, Rockville, Maryland, 23 pp. ; Prószyński W. (1994), Criteria for internal reliability of linear least squares models, Bulletin Géodésique, 68, 162, ; Wiśniewski Z. (1991), Comparative categories in analysis of methods of geodetic observation adjustment, 112, 41. ; Wiśniewski Z. (1993), An Alternative to the method of least absolute deviations (in Polish), Geodesy and Cartography, XLII, 199. ; Xu P. (1993), Consequences of constant parameters and confidence intervals of robust estimation, Bollettino di Geodesia e Scienze Affini, 52, 3, 231. ; Xu P. (2005), Sign-constrained robust least squares, subjective breakdown point and the effect of weights of observations on robustness, Journal of Geodesy, 79, 146,