IDEAS home Printed from https://ideas.repec.org/p/mol/ecsdps/esdp07040.html
   My bibliography  Save this paper

Change in persistence tests for panels

Author

Listed:
  • Cerqueti, Roy
  • Costantini, Mauro
  • Gutierrez, Luciano

Abstract

In this paper we propose a set of new panel tests to detect changes in persistence. These statistics are used to test the null hypothesis of stationarity against the alternative of a change in persistence from I(0) to I(1) or viceversa. Alternative of unknown direction is also considered. The limiting distributions of the panel tests are derived and small sample properties are investigated by Monte Carlo experiments under the hypothesis that the individual series are cross-sectionally independently distributed. These tests have a good size and power properties. Cross-sectional dependence is also considered. A procedure of de-factorizing proposed by Stock and Watson (2002) is applied. Monte Carlo analysis is conducted and the defactored panel tests show to have good size and power. The empirical results obtained from applying these tests to a panel covering 15 European countries between 1970 and 2006 suggest that inflation rate changes from I(1) to I(0) when cross-correlation is considered.

Suggested Citation

  • Cerqueti, Roy & Costantini, Mauro & Gutierrez, Luciano, 2007. "Change in persistence tests for panels," Economics & Statistics Discussion Papers esdp07040, University of Molise, Department of Economics.
  • Handle: RePEc:mol:ecsdps:esdp07040
    as

    Download full text from publisher

    File URL: http://web.unimol.it/progetti/repec/mol/ecsdps/ESDP07040.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Jushan Bai & Serena Ng, 2002. "Determining the Number of Factors in Approximate Factor Models," Econometrica, Econometric Society, vol. 70(1), pages 191-221, January.
    2. A. M. Robert Taylor, 2005. "On the use of Sub‐sample Unit Root Tests to Detect Changes in Persistence," Journal of Time Series Analysis, Wiley Blackwell, vol. 26(5), pages 759-778, September.
    3. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    4. Banerjee, Anindya & Lumsdaine, Robin L & Stock, James H, 1992. "Recursive and Sequential Tests of the Unit-Root and Trend-Break Hypotheses: Theory and International Evidence," Journal of Business & Economic Statistics, American Statistical Association, vol. 10(3), pages 271-287, July.
    5. 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.
    6. Mankiw, N Gregory & Miron, Jeffrey A & Weil, David N, 1987. "The Adjustment of Expectations to a Change in Regime: A Study of the Founding of the Federal Reserve," American Economic Review, American Economic Association, vol. 77(3), pages 358-374, June.
    7. Busetti, Fabio & Taylor, A. M. Robert, 2004. "Tests of stationarity against a change in persistence," Journal of Econometrics, Elsevier, vol. 123(1), pages 33-66, November.
    8. Jushan Bai, 2003. "Inferential Theory for Factor Models of Large Dimensions," Econometrica, Econometric Society, vol. 71(1), pages 135-171, January.
    9. Timothy Cogley & Thomas J. Sargent, 2002. "Evolving Post-World War II US Inflation Dynamics," NBER Chapters, in: NBER Macroeconomics Annual 2001, Volume 16, pages 331-388, National Bureau of Economic Research, Inc.
    10. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2006. "Modified tests for a change in persistence," Journal of Econometrics, Elsevier, vol. 134(2), pages 441-469, October.
    11. Kim, Jae-Young & Belaire-Franch, Jorge & Amador, Rosa Badillo, 2002. "Corrigendum to "Detection of change in persistence of a linear time series" [J. Econom. 95 (2000) 97-116]," Journal of Econometrics, Elsevier, vol. 109(2), pages 389-392, August.
    12. Costantini, Mauro & Gutierrez, Luciano, 2007. "Simple panel unit root tests to detect changes in persistence," Economics Letters, Elsevier, vol. 96(3), pages 363-368, September.
    13. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    14. Stephen Leybourne & Tae-Hwan Kim & Vanessa Smith & Paul Newbold, 2003. "Tests for a change in persistence against the null of difference-stationarity," Econometrics Journal, Royal Economic Society, vol. 6(2), pages 291-311, December.
    15. Emery, Kenneth M., 1994. "Inflation persistence and Fisher effects: Evidence of a regime change," Journal of Economics and Business, Elsevier, vol. 46(3), pages 141-152, August.
    16. Timothy J. Vogelsang, 1998. "Trend Function Hypothesis Testing in the Presence of Serial Correlation," Econometrica, Econometric Society, vol. 66(1), pages 123-148, January.
    17. Kim, Jae-Young, 2000. "Detection of change in persistence of a linear time series," Journal of Econometrics, Elsevier, vol. 95(1), pages 97-116, March.
    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. Roy Cerqueti & Mauro Costantini & Luciano Gutierrez, 2009. "New panel tests to assess inflation persistence," Working Papers 54-2009, Macerata University, Department of Finance and Economic Sciences, revised Oct 2009.
    2. Cerqueti, Roy & Costantini, Mauro & Gutierrez, Luciano, 2008. "Change in persistence tests for panels: An update and some new results," Economics & Statistics Discussion Papers esdp08043, University of Molise, Department of Economics.
    3. Harvey, David I. & Leybourne, Stephen J. & Taylor, A.M. Robert, 2006. "Modified tests for a change in persistence," Journal of Econometrics, Elsevier, vol. 134(2), pages 441-469, October.
    4. Cavaliere, Giuseppe & Taylor, A.M. Robert, 2008. "Testing for a change in persistence in the presence of non-stationary volatility," Journal of Econometrics, Elsevier, vol. 147(1), pages 84-98, November.
    5. Giuseppe Cavaliere & A. M. Robert Taylor, 2006. "Testing for a Change in Persistence in the Presence of a Volatility Shift," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 68(s1), pages 761-781, December.
    6. Roy Cerqueti & Mauro Costantini & Luciano Gutierrez & Joakim Westerlund, 2019. "Panel stationary tests against changes in persistence," Statistical Papers, Springer, vol. 60(4), pages 1079-1100, August.
    7. 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.
    8. Petrenko, Victoria (Петренко, ВИктория) & Skrobotov, Anton (Скроботов, Антон) & Turuntseva, Maria (Турунцева, Мария), 2016. "Testing of Changes in Persistence and Their Effect on the Forecasting Quality [Тестирование Изменения Инерционности И Влияние На Качество Прогнозов]," Working Papers 542, Russian Presidential Academy of National Economy and Public Administration.
    9. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Stephen K. Pollard, 2019. "Unemployment rate hysteresis and the great recession: exploring the metropolitan evidence," Empirical Economics, Springer, vol. 56(1), pages 61-79, January.
    10. Martins, Luis F. & Rodrigues, Paulo M.M., 2014. "Testing for persistence change in fractionally integrated models: An application to world inflation rates," Computational Statistics & Data Analysis, Elsevier, vol. 76(C), pages 502-522.
    11. Evžen Kočenda & Balázs Varga, 2018. "The Impact of Monetary Strategies on Inflation Persistence," International Journal of Central Banking, International Journal of Central Banking, vol. 14(4), pages 229-274, September.
    12. repec:zbw:bofism:2012_047 is not listed on IDEAS
    13. A. M. Robert Taylor, 2005. "Fluctuation Tests for a Change in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 207-230, April.
    14. Taipalus, Katja, 2012. "Detecting asset price bubbles with time-series methods," Scientific Monographs, Bank of Finland, number 2012_047.
    15. Ahmad, A.H. & Harvey, David I. & Pentecost, Eric J., 2011. "Exchange rate regime verification: An alternative method of testing for regime changes," Economics Letters, Elsevier, vol. 113(1), pages 96-98, October.
    16. repec:ebl:ecbull:v:3:y:2004:i:24:p:1-11 is not listed on IDEAS
    17. Mohitosh Kejriwal, 2020. "A Robust Sequential Procedure for Estimating the Number of Structural Changes in Persistence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 82(3), pages 669-685, June.
    18. Leybourne, Stephen J. & Taylor, A.M. Robert, 2006. "Persistence change tests and shifting stable autoregressions," Economics Letters, Elsevier, vol. 91(1), pages 44-49, April.
    19. Philipp Sibbertsen & Robinson Kruse, 2009. "Testing for a break in persistence under long‐range dependencies," Journal of Time Series Analysis, Wiley Blackwell, vol. 30(3), pages 263-285, May.
    20. Eiji Kurozumi, 2005. "Detection of Structural Change in the Long‐run Persistence in a Univariate Time Series," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 67(2), pages 181-206, April.
    21. Daniel Chiquiar & Antonio Noriega & Manuel Ramos-Francia, 2010. "A time-series approach to test a change in inflation persistence: the Mexican experience," Applied Economics, Taylor & Francis Journals, vol. 42(24), pages 3067-3075.
    22. Florian Heinen & Philipp Sibbertsen & Robinson Kruse, 2009. "Forecasting long memory time series under a break in persistence," CREATES Research Papers 2009-53, Department of Economics and Business Economics, Aarhus University.

    More about this item

    Keywords

    Persistence; Stationarity; Panel data;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models

    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:mol:ecsdps:esdp07040. 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: Claudio Lupi (email available below). General contact details of provider: https://edirc.repec.org/data/dsmolit.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.