Robust Estimation of Variance Components with Application in Global Positioning System Network Adjustment
Publication: Journal of Surveying Engineering
Volume 131, Issue 4
Abstract
A robust strategy for controlling the influence of outliers on model parameters and variance components is proposed based on the principle of robust M estimation. The robust estimators for parameters and variance components are derived. A practical robust estimator similar to Helmert’s one for maximum likelihood estimation is obtained. The robustness and efficiency of the new robust estimation procedure is demonstrated and compared with those of the classical least squares method by applying a practical global positioning system network in China.
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Acknowledgments
This project was sponsored by the Natural Science Foundation of China (49825107, 40274002, and 40474001). The writers are grateful to Miss Liang for her patient checking of the English of the manuscript.
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Information & Authors
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Published In
Journal of Surveying Engineering
Volume 131 • Issue 4 • November 2005
Pages: 107 - 112
Copyright
© 2005 ASCE.
History
Received: Nov 9, 2001
Accepted: Dec 29, 2004
Published online: Nov 1, 2005
Published in print: Nov 2005
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