Abstract

An asymptotically optimal selection of regression variables is proposed. The key assumption is that the number of control variables is infinite or increases with the sample size. It is also shown that Mallows's Cp', Akaike's FPE and aic methods are all asymptotically equivalent to this method.

Keywords

Akaike information criterionMathematicsStatisticsAsymptotically optimal algorithmSelection (genetic algorithm)RegressionRegression analysisSample size determinationApplied mathematicsEconometricsMathematical optimizationArtificial intelligenceComputer science

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Publication Info

Year
1981
Type
article
Volume
68
Issue
1
Pages
45-54
Citations
537
Access
Closed

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Ritei Shibata (1981). An optimal selection of regression variables. Biometrika , 68 (1) , 45-54. https://doi.org/10.1093/biomet/68.1.45

Identifiers

DOI
10.1093/biomet/68.1.45