Nearly Efficient Likelihood Ratio Tests of the Unit Root Hypothesis
Michael Jansson, Morten Ørregaard Nielsen
Econometrica · 2012 · Volume 80 · Issue 5
Abstract
Seemingly absent from the arsenal of currently available “nearly efficient” testing procedures for the unit root hypothesis, that is, tests whose asymptotic local power functions are virtually indistinguishable from the Gaussian power envelope, is a test admitting a (quasi-)likelihood ratio interpretation. We study the large sample properties of a quasi-likelihood ratio unit root test based on a Gaussian likelihood and show that this test is nearly efficient.
Keywords
Efficiency, likelihood ratio test, unit root hypothesis
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