Reliability Criteria in Sequential Least-Squares Adjustment
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VIEW CORRECTIONPublication: Journal of Surveying Engineering
Volume 147, Issue 3
Abstract
This paper examines the reliability criteria in sequential least-squares adjustment. Sequential least-squares techniques are widely implemented to effectively use adjustment processes. We use the reliability concept to quantify the potential for detecting blunders and to estimate their impact on the adjusted parameters. To gain additional insight into sequential least squares, we address internal and external reliability for recursive least squares (RLS) and two-step least squares (TSLS). After a short introduction to RLS, TSLS, and the concept of reliability, the paper describes the theoretical tools we developed to exploit the benefits of reliability criteria in sequential least-squares adjustment. Finally, the paper presents the results of a of two numerical example, indicating that the reliability can also be used effectively in sequential least-squares adjustment.
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Data Availability Statement
Some or all data, models, or code that support the findings of this study are available from the author upon reasonable request.
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Published In
Journal of Surveying Engineering
Volume 147 • Issue 3 • August 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Jul 29, 2020
Accepted: Jan 24, 2021
Published online: Mar 26, 2021
Published in print: Aug 1, 2021
Discussion open until: Aug 26, 2021
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