Limited Time Series With A Unit Root
AbstractThis paper develops an asymptotic theory for integrated and near-integrated time series whose range is constrained in some ways. Such a framework arises when integration and cointegration analyses are applied to time series that are bounded either by construction or because they are subject to control. The asymptotic properties of some commonly used integration tests are discussed; the bounded unit root distribution is introduced to describe the limiting distribution of the sample first-order autoregressive coefficient of a random walk under range constraints. The theoretical results show that the presence of such constraints can lead to drastically different asymptotics. Because deviations from the standard unit root theory are measured through two noncentrality parameters that can be consistently estimated, simple measures of the impact of range constraints on the asymptotic distributions are obtained. Generalizations of standard unit root tests that are robust to the presence of range constraints are also provided. Finally, it is shown that the proposed asymptotic framework provides an adequate approximation to the finite-sample properties of the unit root statistics under range constraints.Partial financial support from Italian MIUR grants is gratefully acknowledged. I thank, without implicating, Pentti Saikkonen (the co-editor), an anonymous referee, Attilio Gardini, Martin Jacobsen, Robert de Jong, Paolo Paruolo, Anders Rahbek, and participants at the 58th European Meeting of the Econometric Society, Stockholm, August 21 24, 2003, for helpful comments. I also thank the Bank of International Settlements for providing the European monetary system exchange rate data.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. 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.
Bibliographic InfoArticle provided by Cambridge University Press in its journal Econometric Theory.
Volume (Year): 21 (2005)
Issue (Month): 05 (October)
Contact details of provider:
Postal: The Edinburgh Building, Shaftesbury Road, Cambridge CB2 2RU UK
Fax: +44 (0)1223 325150
Web page: http://journals.cambridge.org/jid_ECTProvider-Email:email@example.com
Other versions of this item:
You can help add them by filling out this form.
CitEc Project, subscribe to its RSS feed for this item.
- Carrion-i-Silvestre, Josep Lluís & Gadea, María Dolores, 2013.
"GLS-based unit root tests for bounded processes,"
Elsevier, vol. 120(2), pages 184-187.
- Josep Lluís Carrion-i-Silvestre & María Dolores Gadea, 2013. "“GLS based unit root tests for bounded processes”," IREA Working Papers 201304, University of Barcelona, Research Institute of Applied Economics, revised Apr 2013.
- Josep Lluís Carrion-i-Silvestre & María Dolores Gadea, 2013. "“GLS based unit root tests for bounded processes”," AQR Working Papers 201302, University of Barcelona, Regional Quantitative Analysis Group, revised Apr 2013.
- Atkinson, Anthony B. & Leigh, Andrew, 2010.
"The Distribution of Top Incomes in Five Anglo-Saxon Countries over the Twentieth Century,"
IZA Discussion Papers
4937, Institute for the Study of Labor (IZA).
- A B Atkinson & Andrew Leigh, 2010. "The Distribution of Top Incomes in Five Anglo-Saxon Countries over the Twentieth Century," CEPR Discussion Papers 640, Centre for Economic Policy Research, Research School of Economics, Australian National University.
- Carlo V. FIORIO & Simon MOHUN & Roberto VENEZIANI, 2013.
"Social Democracy and Distributive Conflict in the UK, 1950-2010,"
Departmental Working Papers
2013-09, Department of Economics, Management and Quantitative Methods at Università degli Studi di Milano, revised 16 May 2013.
- Carlo V. Fiorio & Simon Mohun & Roberto Veneziani, 2013. "Social Democracy and Distributive Conflict in the UK, 1950-2010," UMASS Amherst Economics Working Papers 2013-06, University of Massachusetts Amherst, Department of Economics.
- Carlo V. Fiorio & Simon Mohun & Roberto Veneziani, 2013. "Social Democracy and Distributive Conflict in the UK, 1950-2010," Working Papers 705, Queen Mary, University of London, School of Economics and Finance.
- Casalin, Fabrizio, 2013. "Testing the expectations hypothesis of the term structure with permanent-transitory component models," Journal of Banking & Finance, Elsevier, vol. 37(8), pages 3192-3203.
- Giuseppe Cavaliere, 2005. "Testing mean reversion in target-zone exchange rates," Applied Economics, Taylor & Francis Journals, vol. 37(20), pages 2335-2347.
- Granger, Clive W.J., 2010. "Some thoughts on the development of cointegration," Journal of Econometrics, Elsevier, vol. 158(1), pages 3-6, September.
- Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2012. "Unit roots, nonlinearities and structural breaks," CREATES Research Papers 2012-14, School of Economics and Management, University of Aarhus.
- Helmut Herwartz & Fang Xu, 2009.
"Panel data model comparison for empirical saving-investment relations,"
Applied Economics Letters,
Taylor & Francis Journals, vol. 16(8), pages 803-807.
- Herwartz, Helmut & Xu, Fang, 2006. "Panel data model comparison for empirical saving-investment relations," Economics Working Papers 2006,06, Christian-Albrechts-University of Kiel, Department of Economics.
- Cavaliere, Giuseppe & Xu, Fang, 2014. "Testing for unit roots in bounded time series," Journal of Econometrics, Elsevier, vol. 178(P2), pages 259-272.
- Niklas Potrafke, 2014. "The Evidence on Globalization," CESifo Working Paper Series 4708, CESifo Group Munich.
- Ferris, J.S. & Park, S. & Winer, S.L., 2007.
"Studying the Role of Political Competition in the Evolution of Government Size Over Long Horizons,"
Cambridge Working Papers in Economics
0774, Faculty of Economics, University of Cambridge.
- J. Ferris & Soo-Bin Park & Stanley Winer, 2008. "Studying the role of political competition in the evolution of government size over long horizons," Public Choice, Springer, vol. 137(1), pages 369-401, October.
- Ferris, J. Stephen & Park, Soo-Bin & Winer, Stanley L., 2008. "Studying the role of political competition in the evolution of government size over long horizons," POLIS Working Papers 111, Institute of Public Policy and Public Choice - POLIS.
- Nielsen, Heino Bohn, 2009. "Comment on "The long-run determinants of UK wages, 1860-2004"," Journal of Macroeconomics, Elsevier, vol. 31(1), pages 29-34, March.
- Maarten Bosker & Steven Brakman & Harry Garretsen & Marc Schramm, 2006.
"A Century of Shocks: The Evolution of the German City Size Distribution 1925 – 1999,"
CESifo Working Paper Series
1728, CESifo Group Munich.
- Bosker, Maarten & Brakman, Steven & Garretsen, Harry & Schramm, Marc, 2008. "A century of shocks: The evolution of the German city size distribution 1925-1999," Regional Science and Urban Economics, Elsevier, vol. 38(4), pages 330-347, July.
- Davies, Antony, 2009. "Human development and the optimal size of government," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 38(2), pages 326-330, March.
- Herwartz, Helmut & Xu, Fang, 2006. "Reviewing the sustainability/stationarity of current account imbalances with tests for bounded integration," Economics Working Papers 2006,07, Christian-Albrechts-University of Kiel, Department of Economics.
- Ott, Herve, 2012. "Which factors drive which volatility in the grain sector?," 123rd Seminar, February 23-24, 2012, Dublin, Ireland 122486, European Association of Agricultural Economists.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Keith Waters).
If references are entirely missing, you can add them using this form.