IDEAS home Printed from https://ideas.repec.org/a/eee/ecolet/v117y2012i2p411-413.html
   My bibliography  Save this article

Jointly testing linearity and nonstationarity within threshold autoregressions

Author

Listed:
  • Pitarakis, Jean-Yves

Abstract

A Wald type test of the joint null hypothesis of linearity and nonstationarity within a threshold autoregressive process of order one with deterministic components is developed. Its limiting distribution is derived and its local power and finite sample properties investigated.

Suggested Citation

  • Pitarakis, Jean-Yves, 2012. "Jointly testing linearity and nonstationarity within threshold autoregressions," Economics Letters, Elsevier, vol. 117(2), pages 411-413.
    • Handle: RePEc:eee:ecolet:v:117:y:2012:i:2:p:411-413
    DOI: 10.1016/j.econlet.2012.06.025
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0165176512003588
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.econlet.2012.06.025?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

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

    Other versions of this item:

    References listed on IDEAS

    as
    1. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    2. Mehmet Caner & Bruce E. Hansen, 2001. "Threshold Autoregression with a Unit Root," Econometrica, Econometric Society, vol. 69(6), pages 1555-1596, November.
    3. 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.
    4. Pitarakis, Jean-Yves, 2011. "Joint Detection of Structural Change and Nonstationarity in Autoregressions," MPRA Paper 29189, University Library of Munich, Germany.
    5. Jean-Yves Pitarakis, 2008. "Comment on: Threshold Autoregressions With a Unit Root," Econometrica, Econometric Society, vol. 76(5), pages 1207-1217, September.
    6. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, 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. Christis Katsouris, 2023. "Break-Point Date Estimation for Nonstationary Autoregressive and Predictive Regression Models," Papers 2308.13915, arXiv.org.
    2. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.

    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. Christis Katsouris, 2023. "Estimation and Inference in Threshold Predictive Regression Models with Locally Explosive Regressors," Papers 2305.00860, arXiv.org, revised May 2023.
    2. Christis Katsouris, 2023. "Predictability Tests Robust against Parameter Instability," Papers 2307.15151, arXiv.org.
    3. Minxian Yang, 2014. "Normality of Posterior Distribution Under Misspecification and Nonsmoothness, and Bayes Factor for Davies' Problem," Econometric Reviews, Taylor & Francis Journals, vol. 33(1-4), pages 305-336, June.
    4. Sandberg, Rickard, 2016. "Trends, unit roots, structural changes, and time-varying asymmetries in U.S. macroeconomic data: the Stock and Watson data re-examined," Economic Modelling, Elsevier, vol. 52(PB), pages 699-713.
    5. Christis Katsouris, 2023. "Structural Break Detection in Quantile Predictive Regression Models with Persistent Covariates," Papers 2302.05193, arXiv.org.
    6. Christis Katsouris, 2022. "Partial Sum Processes of Residual-Based and Wald-type Break-Point Statistics in Time Series Regression Models," Papers 2202.00141, arXiv.org, revised Feb 2022.
    7. Neil R. Ericsson, 2021. "Dynamic Econometrics in Action: A Biography of David F. Hendry," International Finance Discussion Papers 1311, Board of Governors of the Federal Reserve System (U.S.).
    8. Pentti Saikkonen & Rickard Sandberg, 2016. "Testing for a Unit Root in Noncausal Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 37(1), pages 99-125, January.
    9. Kuo, Biing-Shen, 1998. "Test for partial parameter instability in regressions with I(1) processes," Journal of Econometrics, Elsevier, vol. 86(2), pages 337-368, June.
    10. Yoichi Arai & Takeo Hoshi, 2004. "Monetary Policy in the Great Recession," Discussion papers 04024, Research Institute of Economy, Trade and Industry (RIETI).
    11. Estefania Mourelle & Juan Carlos Cuestas & Luis Alberiko Gil‐alana, 2011. "Is There An Asymmetric Behaviour In African Inflation? A Non‐Linear Approach," South African Journal of Economics, Economic Society of South Africa, vol. 79(1), pages 68-90, March.
    12. Iris Claus, 1997. "A Measure of Underlying Inflation in the United States," Staff Working Papers 97-20, Bank of Canada.
    13. Gabriel Zsurkis & JoÃo Nicolau & Paulo M. M. Rodrigues, 2021. "A Re‐Examination of Inflation Persistence Dynamics in OECD Countries: A New Approach," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 83(4), pages 935-959, August.
    14. Lütkepohl,Helmut & Krätzig,Markus (ed.), 2004. "Applied Time Series Econometrics," Cambridge Books, Cambridge University Press, number 9780521547871.
    15. Emmanuel Davradakis, 2005. "Macroeconomic fundamentals and exchange rates: a non-parametric cointegration analysis," Applied Financial Economics, Taylor & Francis Journals, vol. 15(7), pages 439-446.
    16. Bajo-Rubio, Oscar & Diaz-Roldan, Carmen & Esteve, Vicente, 2004. "Searching for threshold effects in the evolution of budget deficits: an application to the Spanish case," Economics Letters, Elsevier, vol. 82(2), pages 239-243, February.
    17. Aye, Goodness C. & Balcilar, Mehmet & Bosch, Adél & Gupta, Rangan, 2014. "Housing and the business cycle in South Africa," Journal of Policy Modeling, Elsevier, vol. 36(3), pages 471-491.
    18. David De La Croix & Jean-Pierre Urbain, 1998. "Intertemporal substitution in import demand and habit formation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(6), pages 589-612.
    19. Luca Cattivelli & Federico Antonioli, 2023. "When cointegration is interrupted: Price transmission analysis in the Italian dairy‐feed industry," Agribusiness, John Wiley & Sons, Ltd., vol. 39(3), pages 744-761, July.
    20. Mehmet Balcilar & Rangan Gupta & Stephen M. Miller, 2014. "Housing and the Great Depression," Applied Economics, Taylor & Francis Journals, vol. 46(24), pages 2966-2981, August.

    More about this item

    Keywords

    Threshold autoregressive models; Unit roots; Near unit roots; Brownian bridge; Augmented Dickey–Fuller test;
    All these keywords.

    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • C5 - Mathematical and Quantitative Methods - - Econometric Modeling
    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General

    Statistics

    Access and download statistics

    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:ecolet:v:117:y:2012:i:2:p:411-413. 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/locate/ecolet .

    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.