IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Log in (now much improved!) to save this paper

ADL tests for threshold cointegration

Author Info

Listed author(s):
  • Jing Li

    ()

    (Department of Economics, South Dakota State University)

  • Junsoo Lee

    (Department of Economics, Finance, and Legal Studies, University of Alabama)

Abstract

In this paper, we propose new tests for threshold cointegration in the autoregressive distributed lag (ADL) model. The indicators in the threshold model are based on either a nonstationary or stationary threshold variable. The cointegrating vector in this paper is not pre-specied. We adopt a supremum Wald type test to account for the so-called Davies problem. Theasymptotic null distributions of the proposed tests are free of nuisance parameters. As such, a bootstrap procedure is not required and critical values of the proposed tests are tabulated. A Monte Carlo experiment shows a good finite-sample performance of the proposed tests.

Download Info

If 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.

File URL: http://repec-sda.sdstate.edu/repec/sda/pdf/ADL_Threshold_April_2009.pdf
Download Restriction: no

Paper provided by South Dakota State University, Department of Economics in its series SDSU Working Papers in Progress with number 22009.

as
in new window

Length: 35 pages
Date of creation: Apr 2009
Handle: RePEc:sda:workpa:22009
Contact details of provider: Postal:
Box 504, Scobey Hall, Brookings, SD 57007-0895

Phone: 605-688-4141
Fax: 605-688-6386
Web page: http://www.sdstate.edu/econ/

More information through EDIRC

Keywords: Econometric Theory; Time Series;

Other versions of this item:

Find related papers by JEL classification:
  • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
  • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
  • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

This paper has been announced in the following NEP Reports:

References listed on IDEAS
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.:

as
in new window


  1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
  2. Hansen, Bruce E. & Seo, Byeongseon, 2002. "Testing for two-regime threshold cointegration in vector error-correction models," Journal of Econometrics, Elsevier, vol. 110(2), pages 293-318, October.
  3. Enders, Walter & Siklos, Pierre L, 2001. "Cointegration and Threshold Adjustment," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(2), pages 166-176, April.
  4. Wu, Jyh-Lin & Chen, Show-Lin, 2001. "Nominal exchange-rate prediction: evidence from a nonlinear approach," Journal of International Money and Finance, Elsevier, vol. 20(4), pages 521-532, August.
  5. repec:bla:restud:v:57:y:1990:i:1:p:99-125 is not listed on IDEAS
  6. Kremers, Jeroen J M & Ericsson, Neil R & Dolado, Juan J, 1992. "The Power of Cointegration Tests," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 54(3), pages 325-348, August.
  7. P. C. B. Phillips & S. N. Durlauf, 1986. "Multiple Time Series Regression with Integrated Processes," Review of Economic Studies, Oxford University Press, vol. 53(4), pages 473-495.
  8. Neil R. Ericsson & James G. MacKinnon, 2002. "Distributions of error correction tests for cointegration," Econometrics Journal, Royal Economic Society, vol. 5(2), pages 285-318, 06.
  9. Hansen, Bruce E., 1992. "Efficient estimation and testing of cointegrating vectors in the presence of deterministic trends," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 87-121.
  10. Hendry, David F. & Ericsson, Neil R., 1991. "Modeling the demand for narrow money in the United Kingdom and the United States," European Economic Review, Elsevier, vol. 35(4), pages 833-881, May.
  11. Banerjee, Anindya, et al, 1986. "Exploring Equilibrium Relationships in Econometrics through Static Models: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 253-277, August.
  12. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
  13. Seo, Myunghwan, 2006. "Bootstrap testing for the null of no cointegration in a threshold vector error correction model," Journal of Econometrics, Elsevier, vol. 134(1), pages 129-150, September.
  14. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
  15. Andrews, Donald W K, 1993. "Tests for Parameter Instability and Structural Change with Unknown Change Point," Econometrica, Econometric Society, vol. 61(4), pages 821-856, July.
  16. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1148-1171, October.
  17. Peter S. Sephton, 2003. "Spatial Market Arbitrage and Threshold Cointegration," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(4), pages 1041-1046.
  18. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
  19. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
  20. Hansen, Bruce E., 2000. "Testing for structural change in conditional models," Journal of Econometrics, Elsevier, vol. 97(1), pages 93-115, July.
  21. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
  22. Mark E. Wohar & Nathan S. Balke, 1998. "Nonlinear dynamics and covered interest rate parity," Empirical Economics, Springer, vol. 23(4), pages 535-559.
  23. Eric Zivot, 1996. "The Power of Single Equation Tests for Cointegration when the Cointegrating Vector is Prespecified," Econometrics 9612001, EconWPA.
  24. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
  25. Peter Boswijk, H., 1994. "Testing for an unstable root in conditional and structural error correction models," Journal of Econometrics, Elsevier, vol. 63(1), pages 37-60, July.
  26. Enders, Walter & Granger, Clive W J, 1998. "Unit-Root Tests and Asymmetric Adjustment with an Example Using the Term Structure of Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(3), pages 304-311, July.
  27. Saikkonen, Pentti, 1991. "Asymptotically Efficient Estimation of Cointegration Regressions," Econometric Theory, Cambridge University Press, vol. 7(01), pages 1-21, March.
  28. Phillips, Peter C B & Ouliaris, S, 1990. "Asymptotic Properties of Residual Based Tests for Cointegration," Econometrica, Econometric Society, vol. 58(1), pages 165-193, January.
Full references (including those not matched with items on IDEAS)

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

as
in new window


Cited by:

  1. Asier Minondo & Francisco Requena, 2012. "Exporters' characteristics and the margins of trade," Economics and Business Letters, Oviedo University Press, vol. 1(2), pages 10-15.
  2. Tsangyao Chang & Chia-hao Lee & Pei-I Chou, 2011. "Purchasing power parity in G-7 countries: Further evidence based on ADL test for threshold cointegration," Economics Bulletin, AccessEcon, vol. 31(2), pages 1172-1182.
  3. Peter Sephton & Janelle Mann, 2013. "Threshold Cointegration: Model Selection with an Application," Journal of Economics and Econometrics, Economics and Econometrics Society, vol. 56(2), pages 54-77.
  4. Sonali Das & Rangan Gupta & Patrick Kanda & Monique Reid & Christian Tipoy & Mulatu Zerihun, 2014. "Real interest rate persistence in South Africa: evidence and implications," Economic Change and Restructuring, Springer, vol. 47(1), pages 41-62, February.
  5. Pierpaolo Battigalli & Gabriele Beneduci & Pietro Tebaldi, 2017. "Interactive Epistemology in Simple Dynamic Games with a Continuum of Strategies," Working Papers 602, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
  6. Wen-Yi Chen, 2013. "Does Housing Cost Affect Birth Rates in Taiwan? The ADL Test for Threshold Co-integration," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 90-103, October.
  7. Dong-Yop Oh & Hyejin Lee & Karl David Boulware, 2016. "Conventional monetary policy and the degree of interest rate pass through in the long run: a non-normal approach," Wesleyan Economics Working Papers 2016-002, Wesleyan University, Department of Economics.
  8. Cai, Yifei, 2016. "货币供给数量、结构与经济增长—来自adl门限协整检验与时变格兰杰因果关系检验的证据
    [Quantity and Structure of Money Supply and Economic Growth— Evidence from ADL Test for Threshold Cointegration and Time-varying Granger Causality Relation    ," MPRA Paper 73750, University Library of Munich, Germany.
  9. Burak Güriş & Yaşar Yaşgül, 2015. "Does the Fisher hypothesis hold for the G7 countries? Evidence from ADL threshold cointegration test," Quality & Quantity: International Journal of Methodology, Springer, vol. 49(6), pages 2549-2557, November.
  10. Tsang-Yao CHANG & Hao FANG & Yen-Hsien LEE, 2015. "Nonlinear A Djustment To The Long-Run Equilibrium Between The Reit And The Stock Markets In Japan And Singapore," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(3), pages 27-38, September.
  11. Selahattin GURIS & Burak GURIS & Turgut UN, 2016. "Interest Rates, Fisher Effect And Economic Development In Turkey, 1989-2011," Revista Galega de Economía, University of Santiago de Compostela. Faculty of Economics and Business., vol. 25(2), pages 95-100.
  12. Lee Hyejin & Lee Junsoo & Im Kyungso, 2015. "More powerful cointegration tests with non-normal errors," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 19(4), pages 397-413, September.
  13. Cai, Yifei, 2016. "经济增长与政府债务的非线性研究及其政策治理
    [Nonlinear Analysis of Economic Growth and Public Debt and Policy Governance]    ," MPRA Paper 72783, University Library of Munich, Germany.
  14. Bahmani-Oskooee, Mohsen & Chang, Tsangyao & Yang, Ming-Hsien & Yang, Hong-Lǜe, 2016. "Revisiting real interest rate parity in BRICS countries using ADL test for threshold cointegration," Economic Analysis and Policy, Elsevier, vol. 51(C), pages 86-89.
  15. Tsangyao Chang & Chia-hao Lee & Guochen Pan, 2012. "Purchasing Power Parity in African Countries: Further Evidence based on the ADL Test for Threshold Cointegration," Economics Bulletin, AccessEcon, vol. 32(1), pages 220-228.

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Access and download statistics

When requesting a correction, please mention this item's handle: RePEc:sda:workpa:22009. 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: (David Davis)

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.