In the application of autoregressive models the order of the model is often estimated using either a sequence of likelihood ratio tests or a likelihood based information criterion. The consistency of such procedures has been discussed extensively under the assumption that the characteristic roots of the autoregression are stationary. It is shown that these methods can be used regardless of the assumption to the characteristic roots.
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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number
2001-W10.
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