IDEAS home Printed from https://ideas.repec.org/p/ekd/008007/8702.html
   My bibliography  Save this paper

Testing for multiple level shifts in I(0) and I(1) stochastic processes

Author

Listed:
  • Josep Lluís Carrion-i-Silvestre
  • Maria Dolores Gadea

Abstract

The paper analyzes the detection and estimation of multiple level shifts regardless of the order of integration of the time series. We show that it is possible to extend the sequential testing procedure of Bai and Perron (1998) to the I(1) non-stationary case so that a unified framework based on this approach can be applied. The performance of the test statistic is carried out, establishing a comparison with other existing proposals in the literature.Developing of a sup test statistic for detecting multiple leve shifts for I(1) processes.Simulations are reported on the finite sample performance of the statistic. Further details in the uploaded paper.

Suggested Citation

  • Josep Lluís Carrion-i-Silvestre & Maria Dolores Gadea, 2015. "Testing for multiple level shifts in I(0) and I(1) stochastic processes," EcoMod2015 8702, EcoMod.
    • Handle: RePEc:ekd:008007:8702
    as

    Download full text from publisher

    File URL: http://ecomod.net/system/files/MB20140612.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jushan Bai & Pierre Perron, 1998. "Estimating and Testing Linear Models with Multiple Structural Changes," Econometrica, Econometric Society, vol. 66(1), pages 47-78, January.
    2. Kejriwal, Mohitosh & Perron, Pierre, 2010. "Testing for Multiple Structural Changes in Cointegrated Regression Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(4), pages 503-522.
    3. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    4. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2010. "Robust methods for detecting multiple level breaks in autocorrelated time series," Journal of Econometrics, Elsevier, vol. 157(2), pages 342-358, August.
    5. Perron, Pierre & Yabu, Tomoyoshi, 2009. "Testing for Shifts in Trend With an Integrated or Stationary Noise Component," Journal of Business & Economic Statistics, American Statistical Association, vol. 27(3), pages 369-396.
    6. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    7. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-162, April.
    8. Montañés, Antonio & Reyes, Marcelo, 1998. "Effect Of A Shift In The Trend Function On Dickey–Fuller Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 14(3), pages 355-363, June.
    9. Perron, Pierre & Vogelsang, Timothy J, 1992. "Testing for a Unit Root in a Time Series with a Changing Mean: Corrections and Extensions," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(4), pages 467-470, October.
    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. Josep Lluís Carrion‐i‐Silvestre & María Dolores Gadea, 2023. "Testing for multiple level shifts with an integrated or stationary noise component," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 38(6), pages 801-819, September.
    2. Skrobotov, Anton, 2020. "Survey on structural breaks and unit root tests," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 58, pages 96-141.
    3. Matteo Mogliani, 2010. "Residual-based tests for cointegration and multiple deterministic structural breaks: A Monte Carlo study," Working Papers halshs-00564897, HAL.
    4. 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.
    5. Esteve, Vicente & Tamarit, Cecilio, 2012. "Is there an environmental Kuznets curve for Spain? Fresh evidence from old data," Economic Modelling, Elsevier, vol. 29(6), pages 2696-2703.
    6. Vicente Esteve & Manuel Navarro-Ibáñez & María A. Prats, 2013. "The present value model of US stock prices revisited: long-run evidence with structural breaks, 1871-2010," Working Papers 04/13, Instituto Universitario de Análisis Económico y Social.
    7. Vicente Esteve & Manuel Navarro-Ibáñez & María A. Prats, 2013. "The present value model of U.S. stock prices revisited: long-run evidence with structural breaks, 1871-2010," Working Papers 1305, Department of Applied Economics II, Universidad de Valencia.
    8. Mohitosh Kejriwal & Claude Lopez, 2013. "Unit Roots, Level Shifts, and Trend Breaks in Per Capita Output: A Robust Evaluation," Econometric Reviews, Taylor & Francis Journals, vol. 32(8), pages 892-927, November.
    9. 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.
    10. Clemente, Jesus & Lanaspa, Luis & Montanes, Antonio, 2005. "The unemployment structure of the US states," The Quarterly Review of Economics and Finance, Elsevier, vol. 45(4-5), pages 848-868, September.
    11. Natalya Ketenci & Vasudeva N. R. Murthy, 2018. "Some determinants of life expectancy in the United States: results from cointegration tests under structural breaks," Journal of Economics and Finance, Springer;Academy of Economics and Finance, vol. 42(3), pages 508-525, July.
    12. Ghoshray, Atanu & Kejriwal, Mohitosh & Wohar, Mark E., 2011. "Breaking Trends and the Prebisch-Singer Hypothesis: A Further Investigation," 2011 International Congress, August 30-September 2, 2011, Zurich, Switzerland 120387, European Association of Agricultural Economists.
    13. Luis F. Martins & Paulo M. M. Rodrigues, 2022. "Tests for segmented cointegration: an application to US governments budgets," Empirical Economics, Springer, vol. 63(2), pages 567-600, August.
    14. Melo, Patricia C. & Sobreira, Nuno & Goulart, Pedro, 2019. "Estimating the long-run metro demand elasticities for Lisbon: A time-varying approach," Transportation Research Part A: Policy and Practice, Elsevier, vol. 126(C), pages 360-376.
    15. Vasudeva N. R. Murthy & Natalya Ketenci, 2017. "Is technology still a major driver of health expenditure in the United States? Evidence from cointegration analysis with multiple structural breaks," International Journal of Health Economics and Management, Springer, vol. 17(1), pages 29-50, March.
    16. Congregado, Emilio & Esteve, Vicente, 2022. "Cointegration with structural changes and classical model of inflation in Spain, 1830–1998," Structural Change and Economic Dynamics, Elsevier, vol. 60(C), pages 376-388.
    17. Ghoshray Atanu & Kejriwal Mohitosh & Wohar Mark, 2014. "Breaks, trends and unit roots in commodity prices: a robust investigation," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 18(1), pages 23-40, February.
    18. Rafael Emilio Congregado & Vicente Esteve, 2021. "Long-run neutrality of money and inflation in Spanish economy, 1830-1998," Working Papers 2104, Department of Applied Economics II, Universidad de Valencia.
    19. Kim, Dukpa & Oka, Tatsushi & Estrada, Francisco & Perron, Pierre, 2020. "Inference related to common breaks in a multivariate system with joined segmented trends with applications to global and hemispheric temperatures," Journal of Econometrics, Elsevier, vol. 214(1), pages 130-152.
    20. Mohitosh Kejriwal & Pierre Perron, 2010. "A sequential procedure to determine the number of breaks in trend with an integrated or stationary noise component," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(5), pages 305-328, September.

    More about this item

    Keywords

    No empirical application in the paper.; Macroeconometric modeling; Modeling: new developments;
    All these keywords.

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:ekd:008007:8702. 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: Theresa Leary (email available below). General contact details of provider: https://edirc.repec.org/data/ecomoea.html .

    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.