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Near Observational Equivalence and Theoretical size Problems with Unit Root Tests

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Author Info
Faust, Jon
Abstract

Said and Dickey (1984, Biometrika 71, 599 346) have derived unit root tests that have asymptotic distributions free of nuisance parameters under very general maintained models. Under models as general as those assumed by these authors, the size of the unit root test procedures will converge to one, not the size under the asymptotic distribution. Solving this problem requires restricting attention to a model that is small, in a topological sense, relative to the original. Sufficient conditions for solving the asymptotic size problem yield some suggestions for improving finite-sample size performance of standard tests.

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Article provided by Cambridge University Press in its journal Econometric Theory.

Volume (Year): 12 (1996)
Issue (Month): 04 (October)
Pages: 724-731
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:cup:etheor:v:12:y:1996:i:04:p:724-731_00

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  1. St-Amant, P. & Tessier, D., 1998. "A Discussion of the Reliability of Results Obtained with Long-Run Identifying Restrictions," Working Papers 98-4, Bank of Canada. [Downloadable!]
  2. Xiao, Zhijie & Lima, Luiz Renato Regis de Oliveira, 2006. "Testing Covariance Stationarity," Economics Working Papers (Ensaios Economicos da EPGE) 632, Graduate School of Economics, Getulio Vargas Foundation (Brazil). [Downloadable!]
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  3. Charles Engel, 1998. "Long-Run PPP May Not Hold After All," Discussion Papers in Economics at the University of Washington 0050, Department of Economics at the University of Washington. [Downloadable!]
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  4. V. V. Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2004. "A Critique of Structural VARs Using Real Business Cycle Theory," Levine's Bibliography 122247000000000518, UCLA Department of Economics. [Downloadable!]
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  5. Giovanni Forchini & Patrick Marsh, . "Exact Inference for the Unit Root Hypothesis," Discussion Papers 00/54, Department of Economics, University of York. [Downloadable!]
  6. Christopher J. Neely & David E. Rapach, 2008. "Real interest rate persistence: evidence and implications," Working Papers 2008-018, Federal Reserve Bank of St. Louis. [Downloadable!]
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