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Gdańsk University of Technology

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Identification of Unstable Reference Points and Estimation of Displacements Using Squared Msplit Estimation

The article presents a new version of the method for estimating parameters in a split functional model, which enables the determination of displacements of geodetic network points with constrained datum. The main aim of the study is to present theoretical foundations of Msplit CD estimation and its basic properties and possible applications. Particular attention was paid to the efficacy of the method in the context of geodetic network deformation analysis and to the robustness properties of the proposed method. The theoretical considerations were verified by means of two computational tests conducted using the Monte Carlo simulation. The obtained results of methods of estimation parameters in a split functional model were compared with the results of classical method of the least squares estimation. The numerical examples provided in the study indicate the basis properties of Msplit CD estimators being determined.

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