Determinacy in the linear model: Gauss to Bose and Koopmans
Determinacy in the linear model: Gauss to Bose and Koopmans
Gauss showed that least squares fails to produce a unique solution only when the problem is indeterminate. This note considers his argument and the notion of indeterminacy underlying it. It also relates the argument to twentieth-century discussions of estimability and identifiability.
Gauss, least squares, collinearity, rank, estimability, identifiability, fidelity
211-219
Aldrich, John
a8ab8666-24a2-4d98-83bb-6053438c00ee
August 1999
Aldrich, John
a8ab8666-24a2-4d98-83bb-6053438c00ee
Aldrich, John
(1999)
Determinacy in the linear model: Gauss to Bose and Koopmans.
International Statistical Review, 67 (2), .
(doi:10.2307/1403399).
Abstract
Gauss showed that least squares fails to produce a unique solution only when the problem is indeterminate. This note considers his argument and the notion of indeterminacy underlying it. It also relates the argument to twentieth-century discussions of estimability and identifiability.
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Published date: August 1999
Keywords:
Gauss, least squares, collinearity, rank, estimability, identifiability, fidelity
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Local EPrints ID: 32912
URI: http://eprints.soton.ac.uk/id/eprint/32912
ISSN: 0306-7734
PURE UUID: 3b539078-c587-4720-aa7e-b17f4b23725e
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Date deposited: 10 May 2007
Last modified: 15 Mar 2024 07:40
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