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Comparison of robust estimators for leveling networks in Monte Carlo simulations Cover

Comparison of robust estimators for leveling networks in Monte Carlo simulations

Open Access
|Jul 2016

Abstract

We compared the method of least squares (LS), Pope’s iterative data snooping (IDS) and Huber’s M-estimator (HU) in realistic leveling networks, for which the heights or the vertical displacements of points are known. The study was conducted using the Monte Carlo simulation, in which one repeatedly generates sets of observations related to the measurement data, then calculates values of the estimators and, finally, assesses it with respect to the real coordinates. To simulate outliers we used popular mixture models with two or more normal distributions. It is shown that for small, strong networks robust methods IDS and HU are more accurate than LS, but for large, weak networks occurring in practice there is no significant difference between the considered methods in the accuracy of the solution.

DOI: https://doi.org/10.1515/rgg-2016-0023 | Journal eISSN: 2391-8152 | Journal ISSN: 0867-3179
Language: English
Page range: 70 - 81
Published on: Jul 14, 2016
Published by: Warsaw University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2016 Maria Pokarowska, published by Warsaw University of Technology
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.