This file is part of IDEAS, which uses RePEc data


[ Papers | Articles | Software | Books | Chapters | Authors | Institutions | JEL Classification | NEP reports | Search | New papers by email | Author registration | Rankings | Volunteers | FAQ | Blog | Help! ]

Tests for Unit Roots and the Initial Condition

Author info | Abstract | Publisher info | Download info | Related research | Statistics
Author Info
Ulrich K. M¸ller
Graham Elliott

Additional information is available for the following registered author(s):

Abstract

The paper analyzes the impact of the initial condition on the problem of testing for unit roots. To this end, we derive a family of optimal tests that maximize a weighted average power criterion with respect to the initial condition. We then investigate the relationship of this optimal family to popular tests. We find that many unit root tests are closely related to specific members of the optimal family, but the corresponding members employ very different weightings for the initial condition. The popular Dickey-Fuller tests, for instance, put a large weight on extreme deviations of the initial observation from the deterministic component, whereas other popular tests put more weight on moderate deviations. Since the power of unit root tests varies dramatically with the initial condition, this paper explains the results of comparative power studies of unit root tests. The results allow a much deeper understanding of the merits of particular tests in specific circumstances, and a guide to choosing which statistics to use in practice. Copyright The Econometric Society 2003.

Download Info
To download:

If you experience problems downloading a file, check if you have the proper application to view it first. Information about this may be contained in the File-Format links below. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.blackwellpublishing.com/ecta/asp/abstract.asp?iid=4&aid=447&vid=71
File Format: text/html
File Function: link to full text
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Publisher Info
Article provided by Econometric Society in its journal Econometrica.

Volume (Year): 71 (2003)
Issue (Month): 4 (07)
Pages: 1269-1286
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ecm:emetrp:v:71:y:2003:i:4:p:1269-1286

Contact details of provider:
Phone: 1 212 998 3820
Fax: 1 212 995 4487
Email:
Web page: http://www.econometricsociety.org/
More information through EDIRC

Order Information:
Email:
Web: http://www.blackwellpublishing.com/memb.asp?ref=0012-9682

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords:

Other versions of this item:

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)
  1. Michael Jansson & Morten Ørregaard Nielsen, 2009. "Nearly Efficient Likelihood Ratio Tests of the Unit Root Hypothesis," CREATES Research Papers 2009-37, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  2. Martin Browning & Mette Ejrnaes & Javaier Alvarez, 2006. "Modelling income processes with lots of heterogeneity," Economics Series Working Papers 285, University of Oxford, Department of Economics. [Downloadable!]
    Other versions:
  3. John Elder & Peter E. Kennedy, 2004. "More on F versus t tests for unit roots when there is no trend," Economics Bulletin, Economics Bulletin, vol. 3(37), pages 1-6. [Downloadable!]
  4. Steve Leybourne & David Harvey, 2003. "On Unit Root Tests and the Initial Observation," Econometrics 0311006, EconWPA. [Downloadable!]
  5. Steven Cook, 2005. "Estimating the autoregressive parameter: recursive mean adjustment and the initial condition," Applied Economics Letters, Taylor and Francis Journals, vol. 12(4), pages 203-206, March. [Downloadable!] (restricted)
  6. Donald W.K. Andrews & Patrik Guggenberger, 2008. "Asymptotics for LS, GLS, and Feasible GLS Statistics in an AR(1) Model with Conditional Heteroskedaticity," Cowles Foundation Discussion Papers 1665, Cowles Foundation, Yale University. [Downloadable!]
  7. Steven Cook, 2004. "On the finite-sample power of modified Dickey-Fuller tests: The role of the initial condition," Economics Bulletin, Economics Bulletin, vol. 3(11), pages 1-9. [Downloadable!]
  8. Fabio Busetti & Silvia Fabiani & Andrew Harvey, 2006. "Convergences of prices and rates of inflation," Temi di discussione (Economic working papers) 575, Bank of Italy, Economic Research Department. [Downloadable!]
    Other versions:
  9. Morten Ørregaard Nielsen, 2008. "A Powerful Test of the Autoregressive Unit Root Hypothesis Based on a Tuning Parameter Free Statistic," CREATES Research Papers 2008-36, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  10. Donggyu Sul, 2005. "New Panel Unit Root Tests under Cross Section Dependence for Practitioners," Econometrics 0506010, EconWPA. [Downloadable!]
  11. Nielsen, Morten, 2008. "A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis," Working Papers 08-05, Cornell University, Center for Analytic Economics. [Downloadable!]
    Other versions:
  12. Claude Lopez & Christian J. Murray & David H. Papell, 2003. "Median-Unbiased Estimation in DF-GLS Regressions and the PPP Puzzle," University of Cincinnati, Economics Working Papers Series 2003-07, University of Cincinnati, Department of Economics. [Downloadable!]
    Other versions:
  13. Bunzel, Helle & Enders, Walter, 2005. "Is the Taylor Rule Missing? A Statistical Investigation," Staff General Research Papers 12301, Iowa State University, Department of Economics. [Downloadable!]
  14. Fabio Busetti & Lorenzo Forni & Andrew Harvey & Fabrizio Venditti, 2006. "Inflation convergence and divergence within the European Monetary Union," Working Paper Series 574, European Central Bank. [Downloadable!]
    Other versions:
  15. Donald W.K. Andrews & Patrik Guggenberger, 2007. "Asymptotics for Stationary Very Nearly Unit Root Processes," Cowles Foundation Discussion Papers 1607, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  16. Patrick Marsh, . "The Available Information for Invariant Tests of a Unit Root," Discussion Papers 05/03, Department of Economics, University of York. [Downloadable!]
  17. Michael Jansson, 2007. "Semiparametric Power Envelopes for Tests of the Unit Root Hypothesis," CREATES Research Papers 2007-12, School of Economics and Management, University of Aarhus. [Downloadable!]
    Other versions:
  18. Steven Cook, 2004. "Detecting changes in persistence in linear time series," Economics Bulletin, Economics Bulletin, vol. 3(24), pages 1-11. [Downloadable!]
  19. Gluschenko, Konstantin, 2004. "Nonlinearly testing for a unit root in the presence of a break in the mean," MPRA Paper 678, University Library of Munich, Germany, revised Sep 2005. [Downloadable!]
  20. Peter C.B. Phillips & Tassos Magdalinos, 2008. "Unit Root and Cointegrating Limit Theory When Initialization Is in the Infinite Past," Cowles Foundation Discussion Papers 1655, Cowles Foundation, Yale University. [Downloadable!]
  21. Alina Spiru, 2007. "Inflation convergence in the new EU member states," Working Papers 005221, Lancaster University Management School, Economics Department. [Downloadable!]
  22. Donald W.K. Andrews & Patrik Guggenberger, 2007. "Hybrid and Size-Corrected Subsample Methods," Cowles Foundation Discussion Papers 1606, Cowles Foundation, Yale University. [Downloadable!]
Statistics
Access and download statistics

Did you know? RePEc and its associated services are free for contributors and users, and do not accept any advertising.

This page was last updated on 2009-11-12.

This information is provided to you by IDEAS at the Department of Economics, College of Liberal Arts and Sciences, University of Connecticut using RePEc data on a server sponsored by the Society for Economic Dynamics.