Median-Based Estimates and Their Application in Controlling Reference Mark Stability
Publication: Journal of Surveying Engineering
Volume 136, Issue 2
Abstract
Control of reference mark stability is essential for monitoring of deformations of engineering structures or displacements of points in geodetic networks. Some robust estimates, which are based on median application, can be used for such purposes. For example, some R-estimates can be applied to determine displacements of geodetic points thus to identify unstable reference marks. However, such simplest approach can sometimes fail. Thus, a more complex strategy for monitoring of geodetic point stability is elaborated and presented in this paper. The concept presented here concerns leveling networks and applies some R-estimate and also other median-based estimates, i.e., the median distance to the median and the average distance to the median. The method proposed in this paper is illustrated with some practical examples and is compared with the traditional method for geodetic point stability monitoring.
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Acknowledgments
This research is supported by the Polish Ministry of Science and Higher Education under the grant “New methods of estimation of parameters in a functional model of geodetic observations ( estimation),” Grant No. UNSPECIFIEDN N526 255 734. The writer is very grateful to the reviewers of the paper for helpful suggestions and comments that have improved my manuscript significantly.
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Received: Oct 30, 2008
Accepted: Jul 1, 2009
Published online: Jul 3, 2009
Published in print: May 2010
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