IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v57y2002i1p101-109.html
   My bibliography  Save this article

On the asymptotic behaviour of unit-root tests in the presence of a Markov trend

Author

Listed:
  • Psaradakis, Zacharias

Abstract

This paper examines the behaviour of unit-root tests for I(1) time series with drift which is subject to Markov regime changes. It is shown that the asymptotic null distributions of the popular Dickey-Fuller statistics are different from the standard asymptotic distributions obtained under a no-break assumption. Monte Carlo experiments are used to illustrate the finite-sample implications of the theoretical results.

Suggested Citation

  • Psaradakis, Zacharias, 2002. "On the asymptotic behaviour of unit-root tests in the presence of a Markov trend," Statistics & Probability Letters, Elsevier, vol. 57(1), pages 101-109, March.
    • Handle: RePEc:eee:stapro:v:57:y:2002:i:1:p:101-109
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(02)00063-9
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jing Zhang & Robert A. Stine, 2001. "Autocovariance Structure of Markov Regime Switching Models and Model Selection," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(1), pages 107-124, January.
    2. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    3. Pierre Perron & Serena Ng, 1996. "Useful Modifications to some Unit Root Tests with Dependent Errors and their Local Asymptotic Properties," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 435-463.
    4. Stephen J. Leybourne And Paul Newbold, 2000. "Behaviour of the standard and symmetric Dickey-Fuller-type tests when there is a break under the null hypothesis," Econometrics Journal, Royal Economic Society, vol. 3(1), pages 1-15.
    5. Hansen, Bruce E, 1992. "The Likelihood Ratio Test under Nonstandard Conditions: Testing the Markov Switching Model of GNP," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 61-82, Suppl. De.
    6. Zacharias Psaradakis, 2001. "Bootstrap Tests for an Autoregressive Unit Root in the Presence of Weakly Dependent Errors," Journal of Time Series Analysis, Wiley Blackwell, vol. 22(5), pages 577-594, September.
    7. Leybourne, Stephen J. & C. Mills, Terence & Newbold, Paul, 1998. "Spurious rejections by Dickey-Fuller tests in the presence of a break under the null," Journal of Econometrics, Elsevier, vol. 87(1), pages 191-203, August.
    8. Montañés, Antonio & Reyes, Marcelo, 1999. "The asymptotic behaviour of the Dickey-Fuller tests under the crash hypothesis," Statistics & Probability Letters, Elsevier, vol. 42(1), pages 81-89, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Vasco Gabriel & Luis Martins, 2011. "Cointegration tests under multiple regime shifts: An application to the stock price–dividend relationship," Empirical Economics, Springer, vol. 41(3), pages 639-662, December.
    2. Aksoy Yunus & Leon-Ledesma Miguel A., 2008. "Non-Linearities and Unit Roots in G7 Macroeconomic Variables," The B.E. Journal of Macroeconomics, De Gruyter, vol. 8(1), pages 1-44, February.
    3. Paap, Richard & van Dijk, Herman K, 2003. "Bayes Estimates of Markov Trends in Possibly Cointegrated Series: An Application to U.S. Consumption and Income," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(4), pages 547-563, October.

    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. Sen, Amit, 2008. "Behaviour of Dickey-Fuller tests when there is a break under the unit root null hypothesis," Statistics & Probability Letters, Elsevier, vol. 78(6), pages 622-628, April.
    2. Nan Li & Simon S. Kwok, 2021. "Jointly determining the state dimension and lag order for Markov‐switching vector autoregressive models," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 471-491, July.
    3. Kim, Dukpa & Perron, Pierre, 2009. "Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses," Journal of Econometrics, Elsevier, vol. 148(1), pages 1-13, January.
    4. Chew Lian Chua & Sandy Suardi, 2005. "Is There a Unit Root in East-Asian Short-Term Interest Rates?," Melbourne Institute Working Paper Series wp2005n14, Melbourne Institute of Applied Economic and Social Research, The University of Melbourne.
    5. D.S. Poskitt & Jing Zhang, 2004. "Estimating Components in Finite Mixtures and Hidden Markov Models," Monash Econometrics and Business Statistics Working Papers 10/04, Monash University, Department of Econometrics and Business Statistics.
    6. Huseyin Tastan & Nuri Yildirim, 2008. "Business cycle asymmetries in Turkey: an application of Markov-switching autoregressions," International Economic Journal, Taylor & Francis Journals, vol. 22(3), pages 315-333.
    7. Charles Nelson & Jeremy Piger & Eric Zivot, 1999. "Unit Root Tests in the Presence of Markov Regime-Switching," Working Papers 0040, University of Washington, Department of Economics.
    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. Shyh-Wei Chen, 2008. "Non-stationarity and Non-linearity in Stock Prices: Evidence from the OECD Countries," Economics Bulletin, AccessEcon, vol. 3(11), pages 1-11.
    10. John R. Freeman & Jude C. Hays & Helmut Stix, 1999. "Democracy and Markets: The Case of Exchange Rates," Working Papers 39, Oesterreichische Nationalbank (Austrian Central Bank).
    11. Chun-Chang Lee & Chih-Min Liang & Hsing-Jung Chou, 2013. "Identifying Taiwan real estate cycle turning points- An application of the multivariate Markov-switching autoregressive Model," Advances in Management and Applied Economics, SCIENPRESS Ltd, vol. 3(2), pages 1-1.
    12. Gerson Nhapulo & João Nicolau, 2017. "Assessing Nonlinear Dynamics of Central Bank Reaction Function: The Case of Mozambique," South African Journal of Economics, Economic Society of South Africa, vol. 85(1), pages 28-51, March.
    13. Peren Arin, K. & Koray, Faik & Spagnolo, Nicola, 2015. "Fiscal multipliers in good times and bad times," Journal of Macroeconomics, Elsevier, vol. 44(C), pages 303-311.
    14. Peter Tillmann, 2003. "The Regime‐Dependent Determination of Credibility: A New Look at European Interest Rate Differentials," German Economic Review, Verein für Socialpolitik, vol. 4(4), pages 409-431, November.
    15. Kausik Chaudhuri & Alok Kumar, 2015. "A Markov-Switching Model for Indian Stock Price and Volume," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 14(3), pages 239-257, December.
    16. Martin Sola & Zacharias Psaradakis & Fabio Spagnolo, 2005. "Testing the unbiased forward exchange rate hypothesis using a Markov switching model and instrumental variables," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(3), pages 423-437.
    17. Mark Coppejans & Donna Gilleskie & Holger Sieg & Koleman Strumpf, 2007. "Consumer Demand under Price Uncertainty: Empirical Evidence from the Market for Cigarettes," The Review of Economics and Statistics, MIT Press, vol. 89(3), pages 510-521, August.
    18. Davidson, Russell & Trokić, Mirza, 2020. "The fast iterated bootstrap," Journal of Econometrics, Elsevier, vol. 218(2), pages 451-475.
    19. Kodjovi G. Assoe, 1998. "Regime-Switching in Emerging Stock Market Returns," Multinational Finance Journal, Multinational Finance Journal, vol. 2(2), pages 101-132, June.
    20. Baele, L., 2003. "Volatility Spillover Effects in European Equity Markets," Other publications TiSEM dae0be49-4f32-433e-822b-1, Tilburg University, School of Economics and Management.

    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:eee:stapro:v:57:y:2002:i:1:p:101-109. See general information about how to correct material in RePEc.

    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 bibliographic 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.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/wps/find/journaldescription.cws_home/622892/description#description .

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

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.