IDEAS home Printed from https://ideas.repec.org/p/mtl/montde/8633.html
   My bibliography  Save this paper

Testing for a Unit Root in Time Series Regression

Author

Listed:
  • Phillips, P.C.B.

Abstract

This Paper Proposes Some New Tests for Detecting the Presence of a Unit Root in Quite General Time Series Modesl. Our Approach Is Nonparametric with Respect to Nuisance Parameters and Thereby Allows for a Very Wide Class of Weakly Dependent and Possibly Heterogeneously Distributed Data. the Tests Accomodate Models with a Fitted Drift and a Time Trend So That They May Be Used to Discriminate Between Unit Root Nonstationarity and Stationarity About a Deterministic Trend. the Limiting Distributions of the Statistics Are Obtained Under Both the Unit Root Null and a Sequence of Local Alternatives. Th Latter Noncentral Distribution Theory Yields Local Asymptotic Power Functions for the Tests. These Are Compared with Alternative Procedures Due to Dickey and Fuller. an Exemple Is Provided.

Suggested Citation

  • Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
  • Handle: RePEc:mtl:montde:8633
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Hall, Robert E, 1978. "Stochastic Implications of the Life Cycle-Permanent Income Hypothesis: Theory and Evidence," Journal of Political Economy, University of Chicago Press, vol. 86(6), pages 971-987, December.
    2. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    3. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    4. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    5. Kleidon, Allan W, 1986. "Variance Bounds Tests and Stock Price Valuation Models," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 953-1001, October.
    6. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    7. Meese, Richard A & Singleton, Kenneth J, 1982. "On Unit Roots and the Empirical Modeling of Exchange Rates," Journal of Finance, American Finance Association, vol. 37(4), pages 1029-1035, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    2. Haubrich, Joseph G, 1993. "Consumption and Fractional Differencing: Old and New Anomalies," The Review of Economics and Statistics, MIT Press, vol. 75(4), pages 767-772, November.
    3. Peter C. B. Phillips & Zhijie Xiao, 1998. "A Primer on Unit Root Testing," Journal of Economic Surveys, Wiley Blackwell, vol. 12(5), pages 423-470, December.
    4. John Y. Campbell & Pierre Perron, 1991. "Pitfalls and Opportunities: What Macroeconomists Should Know About Unit Roots," NBER Chapters, in: NBER Macroeconomics Annual 1991, Volume 6, pages 141-220, National Bureau of Economic Research, Inc.
    5. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    6. Robert A. Amano & Simon van Norden, 1995. "Unit Root Tests and the Burden of Proof," Econometrics 9502005, University Library of Munich, Germany.
    7. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
    8. Niels Haldrup & Robinson Kruse & Timo Teräsvirta & Rasmus T. Varneskov, 2013. "Unit roots, non-linearities and structural breaks," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 4, pages 61-94, Edward Elgar Publishing.
    9. David I. Stern & Robert K. Kaufmann, 1997. "Time series properties of global climate variables: detection and attribution of climate change," Working Papers in Ecological Economics 9702, Australian National University, Centre for Resource and Environmental Studies, Ecological Economics Program.
    10. Tim Bollerslev & Robert J. Hodrick, 1992. "Financial Market Efficiency Tests," NBER Working Papers 4108, National Bureau of Economic Research, Inc.
    11. Gil-Alaña, Luis A., 2000. "Testing of fractional cointegration in macroeconomic time series," SFB 373 Discussion Papers 2000,105, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    12. Mehmet Balcilar, 2007. "Point Optimal Invariant Tests of a Unit Root in Models with Structural Change," Working Papers 15-50, Eastern Mediterranean University, Department of Economics.
    13. Charles G. Renfro, 2009. "The Practice of Econometric Theory," Advanced Studies in Theoretical and Applied Econometrics, Springer, number 978-3-540-75571-5, enero-jun.
    14. Nasiruddin Ahmed, 2003. "Trade liberalization and endogenous growth of manufacturing industries in Bangladesh: an empirical investigation," Applied Economics, Taylor & Francis Journals, vol. 35(3), pages 305-314.
    15. Cribari-Neto, Francisco, 1993. "The Cyclical Component in Brazilian GDP," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 13(1), April.
    16. Shirvani Hassan & Wilbrate Barry, 2000. "Does Consumption Respond More Strongly to Stock Market Declines Than to Increases?," International Economic Journal, Taylor & Francis Journals, vol. 14(3), pages 41-49.
    17. Tsangyao Chang & Wenshwo Fang & Li-Fang Wen, 2001. "Energy consumption, employment, output, and temporal causality: evidence from Taiwan based on cointegration and error-correction modelling techniques," Applied Economics, Taylor & Francis Journals, vol. 33(8), pages 1045-1056.
    18. Jesús Fernández-Villaverde, 2008. "Horizons of Understanding: A Review of Ray Fair's Estimating How the Macroeconomy Works," Journal of Economic Literature, American Economic Association, vol. 46(3), pages 685-703, September.
    19. Fan, Yanqin & Gençay, Ramazan, 2010. "Unit Root Tests With Wavelets," Econometric Theory, Cambridge University Press, vol. 26(5), pages 1305-1331, October.
    20. Mbodja Mougoué, 1992. "The Term Structure Of Interest Rates As A Cointegrated System: Empirical Evidence From The Eurocurrency Market," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 15(3), pages 285-296, September.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mtl:montde:8633. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Sharon BREWER). General contact details of provider: https://edirc.repec.org/data/demtlca.html .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.