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Nearly Efficient Likelihood Ratio Tests of the Unit Root Hypothesis
Author(s) -
Jansson Michael,
Nielsen Morten Ørregaard
Publication year - 2012
Publication title -
econometrica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 16.7
H-Index - 199
eISSN - 1468-0262
pISSN - 0012-9682
DOI - 10.3982/ecta10306
Subject(s) - unit root , statistics , likelihood ratio test , mathematics , root (linguistics) , econometrics , economics , philosophy , linguistics
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.