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Geodetic linear estimation technique and the norm choice problemIn this work the mathematical and probabilistic background of standard linear estimation techniques used in geodesy is clarified, and their interrelationship is revealed with the help of best approximation theory and the normal equations. Emphasis is given to the separation of the deterministic solution to the approximation problem from the probabilistic justification of the metric of the approximation. Least squares prediction has been related to deterministic (exact) collocation, and minimum error bound has been identified as a prediction optimality criterion in the latter. Criteria for the optimal choice of norm in Hilbert space collocation are proposed for gravimetric geodesy problems.
Document ID
19770068512
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Dermanis, A.
Date Acquired
August 9, 2013
Publication Date
June 1, 1977
Publication Information
Publication: Manuscripta Geodaetica
Volume: 2
Subject Category
Theoretical Mathematics
Accession Number
77A51364
Funding Number(s)
CONTRACT_GRANT: NGR-36-008-204
Distribution Limits
Public
Copyright
Other

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