Determinacy in the linear model: Gauss to Bose and Koopmans

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


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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.

Item Type: Article
Digital Object Identifier (DOI): doi:10.2307/1403399
ISSNs: 0306-7734 (print)
Related URLs:
Keywords: Gauss, least squares, collinearity, rank, estimability, identifiability, fidelity
Subjects: H Social Sciences > H Social Sciences (General)
H Social Sciences > HB Economic Theory
H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > School of Social Sciences > Economics
ePrint ID: 32912
Accepted Date and Publication Date:
Date Deposited: 10 May 2007
Last Modified: 31 Mar 2016 11:59

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