Estimation of Variance Components Using a Step-by-Step Approach
Publication: Journal of Surveying Engineering
Volume 137, Issue 2
Abstract
We may obtain a unique parameter vector solution from a combination of individually estimated parameter vectors by adjusting different observation groups. This kind of combination method, the so-called step-by-step procedure, is widely used in geodesy. We derive Helmert-type variance-component estimates for several observation groups via this step-by-step approach. In the estimation step, only individual results are used; hence, this procedure is called step-by-step estimation of variance components. The novel approach is applied to a horizontal control network and a leveling network.
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Acknowledgments
The writer is thankful to the editor Tomás Soler and three anonymous reviewers for their constructive remarks on this paper. Ugur Dogan and one of the reviewers are acknowledged for supply of the horizontal network and the leveling data used in this study, respectively.
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Information & Authors
Information
Published In
Journal of Surveying Engineering
Volume 137 • Issue 2 • May 2011
Pages: 40 - 46
Copyright
© 2011 American Society of Civil Engineers.
History
Received: Nov 2, 2009
Accepted: Aug 3, 2010
Published online: Aug 25, 2010
Published in print: May 1, 2011
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