Total Least Squares in Astronomy

Richard L. Branham ()
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Richard L. Branham: Regional Center for Scientific and Technogicial Research (CRICYT)

A chapter in Total Least Squares and Errors-in-Variables Modeling, 2002, pp 375-384 from Springer

Abstract: Abstract Although astronomers have been involved with the development and use of least squares, they have made insufficient use of total least squares. Astronomers, however, have examined alternatives that also permit error in the equations of condition. There exist, nevertheless, problems of astronomical data reduction for which total least squares represents the ideal mathematical tool. Among these problems are the differential correction of an orbit and the determination of parameters of Galactic kinematics. Total least squares, although more computationally demanding than ordinary least squares, can be used in any situation where the latter is applicable. But care must be paid to the proper scaling of the data matrix. The method merits greater attention by the astronomical community.

Keywords: astronomy; Galactic kinematics; linear errors-in-variables model; total least squares. (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-3552-0_33

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DOI: 10.1007/978-94-017-3552-0_33

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