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Determinacy in the linear model: Gauss to Bose and Koopmans

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
0306-7734
211-219
Aldrich, J.
206ecaac-00de-46ff-98d7-0b87668859de
Aldrich, J.
206ecaac-00de-46ff-98d7-0b87668859de

Aldrich, J. (1999) Determinacy in the linear model: Gauss to Bose and Koopmans. International Statistical Review, 67 (2), 211-219. (doi:10.2307/1403399).

Record type: Article

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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More information

Published date: 1999
Keywords: Gauss, least squares, collinearity, rank, estimability, identifiability, fidelity

Identifiers

Local EPrints ID: 32912
URI: http://eprints.soton.ac.uk/id/eprint/32912
ISSN: 0306-7734
PURE UUID: 3b539078-c587-4720-aa7e-b17f4b23725e

Catalogue record

Date deposited: 10 May 2007
Last modified: 15 Jul 2019 19:07

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