Abstract
In this paper, the problem of variable selection in linear regression is
considered. This problem involves choosing the most appropriate model
from the candidate models. Variable selection criteria based on estimates of
the Kullback-Leibler information are most common. Akaike's AIC and bias
corrected AIC belong to this group of criteria. The reduction of the bias
in estimating the Kullback-Leibler information can lead to better variable
selection. In this study we have compared the Akaike Criterion based on
Fisher Information and AIC criteria based on Kullback-Leibler.