Linear and ellipsoidal restrictions in linear regression
Authors:
P. Stahlecker a;
G. Trenkler a
| Affiliation: | a Department of Economics, University of Mainz, Mainz, Germany |
DOI:
10.1080/03610929108802299
Publication Frequency:
6 issues per year
Subjects:
Mathematical Statistics;
Statistical Theory & Methods;
Statistics;
Statistics for the Biological Sciences;
Stochastic Models & Processes;
Formats available:
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(English)
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Abstract
The problem of combining linear and ellipsoidal restrictions in linear regression is investigated. Necessary and sufficient conditions for compactness of the restriction set are proved assuring the existence of a minimax estimator. When the restriction set is not compact a minimax estimator may still exist for special loss functions arid regression designs
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| Keywords: Linear regression model; prior information; minimax estimation; restricted parameter space; quadratic loss functions |
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