Estimation of the Shift between Parameters of Functional Models of Geodetic Observations by Applying Estimation
Publication: Journal of Surveying Engineering
Volume 138, Issue 1
Abstract
This paper presents a new method of estimating a shift between parameters of a functional model of observations. The method in question is based on the theory of estimation and assumes that design matrices of functional models may not have full column rank. Thus, this alternative method, which is called Shift- estimation, can be applied to analyze deformations of free geodetic networks. The shift of the parameters can then be regarded as a shift between the coordinates of the network points at two different measurement epochs. Such an application is illustrated using a numerical example, and the results are compared with the results of -estimation and with a conventional free adjustment of the least squares. This paper presents the theory of Shift- estimators and ways to compute them. The procedures in question are based on the general principles of estimation and practical application of the Moore–Penrose inverses.
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Acknowledgments
This research was supported by the Polish Ministry of Science and Higher Education under Grant No. UNSPECIFIEDN N526 255 734, “New methods of estimation of parameters in a functional model of geodetic observations ( estimation).”
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Published In
Journal of Surveying Engineering
Volume 138 • Issue 1 • February 2012
Pages: 1 - 8
Copyright
© 2012 American Society of Civil Engineers.
History
Received: Jan 19, 2011
Accepted: Jun 8, 2011
Published online: Jun 10, 2011
Published in print: Feb 1, 2012
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