Selecting a Regression Saturated by Indicators

David F. Hendry, Søren Johansen, Carlos Santos

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Abstract

We consider selecting a regression model, using a variant of Gets, when there are more variables than observations, in the special case that the variables are impulse dummies (indicators) for every observation. We show that the setting is unproblematic if tackled appropriately, and obtain the finite-sample distribution of estimators of the mean and variance in a simple location-scale model under the null that no impulses matter. A Monte Carlo simulation confirms the null distribution, and shows power against an alternative of interest
Original languageEnglish
PublisherDepartment of Economics, University of Copenhagen
Number of pages17
Publication statusPublished - 2007

Keywords

  • Faculty of Social Sciences
  • indicators
  • regression saturation
  • subset selection
  • model selection

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