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(DP 1983-04) Regression by Minimum Sum of Absolute Errors: Some Results

UPSE Discussion Papers

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Title (DP 1983-04) Regression by Minimum Sum of Absolute Errors: Some Results
 
Creator Danao, Rolando A.
 
Description In the multiple regression model y= xƒÒ + ƒÕ, the coefficient vector ƒÒ may be estimated by minimizing the sum of absolute errors (MSAE). This papers shows the following results under MSAE estimation: (1) If k coefficient ƒÒj are nonzeros, then the estimated regression equation accurately predicts at least k observations; (2) As in the case of least squares regression, ƒÒ has an infinite number of estimates in the presence of perfect multicollinearity.
 
Publisher UPSE Discussion Papers
 
Contributor
 
Date 2010-08-31
 
Type info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Peer-reviewed Article
 
Format application/pdf
 
Identifier http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/309
 
Source UPSE Discussion Papers; 1983
 
Language eng
 
Relation http://www.econ.upd.edu.ph/dp/index.php/dp/article/view/309/368