Selection of Initial Parameters in R‐Estimates Applied to Deformation Analysis in Leveling Networks
Publication: Journal of Surveying Engineering
Volume 142, Issue 2
Abstract
This paper concerns the method of testing reference point stability, which is based on the application of R-estimates, namely, the Hodges–Lehmann estimates (HLEs). The application of R-estimates requires the use of initial residuals, which are computed on the basis of the functional model of observations and the initial values of the parameter vector of such model. The authors considered a case of a leveling network; thus, the main objectives of the paper were, first, to test the way in which the assumed initial values of the parameters affect the R-estimates of vertical displacements of network points and, second, to compare possible ways of assuming the initial point heights. This paper presents some numerical tests that show and illuminate such influences and a comparison of basic methods for practical computation of the initial values of the parameters. Last, the authors found that if the adjusted heights are applied as the initial heights, then the estimation results are satisfactory.
Get full access to this article
View all available purchase options and get full access to this article.
References
Aydin, C. (2012). “Power of global test in deformation analysis.” J. Surv. Eng., 51–56.
Blaha, G. (1982). “Free networks: Minimum norm solution as obtained by the inner adjustment constraint method.” Bull. Geod., 56(3), 209–219.
Duchnowski, R. (2008). “R-estimation and its application to the LS adjustment.” Boll. Geod. Sci. Affini, 67(1), 21–30.
Duchnowski, R. (2010). “Median-based estimates and their application in controlling reference mark stability.” J. Surv. Eng., 47–52.
Duchnowski, R. (2011). “Robustness of the strategy for testing leveling mark stability based on rank tests.” Surv. Rev., 43(323), 687–699.
Duchnowski, R., and Wiśniewski, Z. (2012). “Estimation of the shift between parameters of functional models of geodetic observations by applying Msplit estimation.” J. Surv. Eng., 1–8.
Duchnowski, R. (2013). “Hodges–Lehmann estimates in deformation analyses.” J. Geod., 87(10), 873–884.
Hekimoglu, S., Demirel, H., and Aydin, C. (2002). “Reliability of the conventional deformation analysis methods for vertical networks.” Proc., FIG XXII Int. Congress, American Society for Photogrammetry and Remote Sensing, Bethesda, MD.
Hekimoglu, S., Erdogan, B., and Butterworth, S. (2010). “Increasing the efficacy of the conventional deformation analysis methods: alternative strategy.” J. Surv. Eng., 53–62.
Hodges, J. L., Jr,., and Lehmann, E. L. (1963). “Estimates of location based on rank tests.” Ann. Math. Stat., 34(2), 598–611.
Kargoll, B. (2005). “Comparison of some robust parameter estimation techniques for outlier analysis applied to simulated GOCE mission data.” GGSM 2004 IAG Int. Symp., C. Jekeli, L. Bastos, and J. Fernandes, eds., Vol. 129, Springer, Porto, Portugal, 77–82.
Nowel, K., and Kamiński, W. (2014). “Robust estimation of deformation from observation differences for free control networks.” J. Geod., 88(8), 749–764.
Information & Authors
Information
Published In
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Apr 30, 2014
Accepted: Jul 29, 2015
Published online: Jan 5, 2016
Published in print: May 1, 2016
Discussion open until: Jun 5, 2016
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.