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Detecting Multiple Changes in Persistence

Author

Listed:
  • Leybourne Stephen

    () (University of Nottingham, UK)

  • Kim Tae-Hwan

    () (Yonsei University)

  • Taylor A.M. Robert

    () (University of Nottingham, UK)

Abstract

This paper considers the problem of testing for and dating changes (at unknown points) in the order of integration of a time series between different trend-stationary and difference-stationary regimes. While existing procedures in the literature are designed for processes displaying only a single such change in persistence, our proposed methodology is also valid in the presence of multiple changes in persistence. Our procedure is based on sequences of doubly-recursive implementations of the regression-based unit root statistic of Elliott et al. (1996). The asymptotic validity of our procedure is demonstrated analytically. We use Monte Carlo methods to simulate both finite sample and asymptotic critical values for our proposed testing procedure and to simulate the finite sample behaviour of our procedure against a variety of single and multiple persistence change series. The procedure is shown to work well in practice. The impact of deterministic level and trend breaks on our procedure is also discussed. An empirical application of the procedure to interest rate data is considered.

Suggested Citation

  • Leybourne Stephen & Kim Tae-Hwan & Taylor A.M. Robert, 2007. "Detecting Multiple Changes in Persistence," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 11(3), pages 1-34, September.
  • Handle: RePEc:bpj:sndecm:v:11:y:2007:i:3:n:2
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    References listed on IDEAS

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    1. Swanson, Norman R & Zeng, Tian, 2001. "Choosing among Competing Econometric Forecasts: Regression-Based Forecast Combination Using Model Selection," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(6), pages 425-440, September.
    2. Norman R. Swanson & Halbert White, 1997. "A Model Selection Approach To Real-Time Macroeconomic Forecasting Using Linear Models And Artificial Neural Networks," The Review of Economics and Statistics, MIT Press, pages 540-550.
    3. Graham Elliott & Allan Timmermann, 2005. "Optimal Forecast Combination Under Regime Switching ," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(4), pages 1081-1102, November.
    4. David F. Hendry & Michael P. Clements, 2004. "Pooling of forecasts," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 1-31, June.
    5. Yang, Yuhong, 2004. "Combining Forecasting Procedures: Some Theoretical Results," Econometric Theory, Cambridge University Press, vol. 20(01), pages 176-222, February.
    6. Hall, A D & McAleer, Michael, 1989. "A Monte Carlo Study of Some Tests of Model Adequacy in Time Series Analysis," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 95-106, January.
    7. Clements,Michael & Hendry,David, 1998. "Forecasting Economic Time Series," Cambridge Books, Cambridge University Press, number 9780521632423, December.
    8. Granger, Clive W. J. & King, Maxwell L. & White, Halbert, 1995. "Comments on testing economic theories and the use of model selection criteria," Journal of Econometrics, Elsevier, pages 173-187.
    9. Clemen, Robert T., 1989. "Combining forecasts: A review and annotated bibliography," International Journal of Forecasting, Elsevier, vol. 5(4), pages 559-583.
    10. Yang Y., 2001. "Adaptive Regression by Mixing," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 574-588, June.
    11. Norman R. Swanson & Halbert White, 1997. "A Model Selection Approach To Real-Time Macroeconomic Forecasting Using Linear Models And Artificial Neural Networks," The Review of Economics and Statistics, MIT Press, pages 540-550.
    12. Breusch, T S, 1978. "Testing for Autocorrelation in Dynamic Linear Models," Australian Economic Papers, Wiley Blackwell, vol. 17(31), pages 334-355, December.
    13. Pötscher, B.M., 1991. "Effects of Model Selection on Inference," Econometric Theory, Cambridge University Press, vol. 7(02), pages 163-185, June.
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    Citations

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    Cited by:

    1. Noriega, Antonio E. & Ramos-Francia, Manuel, 2009. "The dynamics of persistence in US inflation," Economics Letters, Elsevier, vol. 105(2), pages 168-172, November.
    2. Alfred A. Haug, 2014. "On real interest rate persistence: the role of breaks," Applied Economics, Taylor & Francis Journals, vol. 46(10), pages 1058-1066, April.
    3. Fosten, Jack & Ghoshray, Atanu, 2011. "Dynamic persistence in the unemployment rate of OECD countries," Economic Modelling, Elsevier, vol. 28(3), pages 948-954, May.
    4. S Coleman & K Sirichand, 2015. "Investigating Multiple Changes in Persistence in International Yields," Economic Issues Journal Articles, Economic Issues, vol. 20(1), pages 65-90, March.
    5. Lee, Hwa-Taek & Yoon, Gawon, 2007. "Does Purchasing Power Parity Hold Sometimes? Regime Switching in Real Exchange Rates," Economics Working Papers 2007-24, Christian-Albrechts-University of Kiel, Department of Economics.
    6. Juan Carlos Cuestas & Fabio Filipozzi & Karsten Staehr, 2015. "Uncovered Interest Parity in Central and Eastern Europe: Sample, Expectations and Structural Breaks," Working Papers 2015014, The University of Sheffield, Department of Economics.
    7. Ghoshray, Atanu & Stamatogiannis, Michalis P., 2015. "Centurial evidence of breaks in the persistence of unemployment," Economics Letters, Elsevier, vol. 129(C), pages 74-76.
    8. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    9. repec:bla:reviec:v:25:y:2017:i:4:p:695-710 is not listed on IDEAS
    10. Chen, Wei & Huang, Zhuo & Yi, Yanping, 2015. "Is there a structural change in the persistence of WTI–Brent oil price spreads in the post-2010 period?," Economic Modelling, Elsevier, vol. 50(C), pages 64-71.
    11. Simeon Coleman Author name: Vitor Leone, 2012. "Time-series characteristics of UK commercial property returns: Testing for multiple changes in persistence," Working Papers 2012/03, Nottingham Trent University, Nottingham Business School, Economics Division.
    12. repec:eee:intfin:v:50:y:2017:i:c:p:36-51 is not listed on IDEAS
    13. Juan Carlos Cuestas & Karsten Staehr, 2015. "The Great Leveraging in the GIIPS Countries: Domestic Credit and Net Foreign Liabilities," Working Papers 2015012, The University of Sheffield, Department of Economics.
    14. Leone, Vitor & de Medeiros, Otavio Ribeiro, 2015. "Signalling the Dotcom bubble: A multiple changes in persistence approach," The Quarterly Review of Economics and Finance, Elsevier, vol. 55(C), pages 77-86.
    15. Juan Carlos Cuestas & Karsten Staehr, 2014. "The great (De)leveraging in the GIIPS countries. Domestic credit and net foreign liabilities 1998–2013," Bank of Estonia Working Papers wp2014-4, Bank of Estonia, revised 10 Oct 2014.
    16. Kejriwal, Mohitosh & Perron, Pierre, 2012. "A note on estimating a structural change in persistence," Economics Letters, Elsevier, vol. 117(3), pages 932-935.
    17. Stan Hurn & Peter C B Phillips & Shuping Shi, 2015. "Change Detection and the Casual Impact of the Yield Curve," NCER Working Paper Series 107, National Centre for Econometric Research.
    18. José Julián Sidaoui & Carlos Capistrán & Daniel Chiquiar & Manuel Ramos Francia, 2009. "A Note on the Predictive Content of PPI over CPI Inflation: The Case of Mexico," Working Papers 2009-14, Banco de México.
    19. Juan Carlos Cuestas & Luis A. Gil-Alana & Paolo Jose Regis, 2014. "On the changes in the sustainability of European external debt: what have we learned," Bank of Estonia Working Papers wp2014-3, Bank of Estonia, revised 10 Oct 2014.
    20. Noriega Antonio E. & Ramos Francia Manuel, 2008. "A Note on the Dynamics of Persistence in US Inflation," Working Papers 2008-12, Banco de México.
    21. Juan Carlos Cuestas & Fabio Filipozzi & Karsten Staehr, 2017. "Uncovered interest parity in Central and Eastern Europe: Expectations and structural breaks," Review of International Economics, Wiley Blackwell, pages 695-710.
    22. Antonio Noriega & Carlos Capistrán & Manuel Ramos-Francia, 2013. "On the dynamics of inflation persistence around the world," Empirical Economics, Springer, pages 1243-1265.
    23. Chen, Zhanshou & Jin, Zi & Tian, Zheng & Qi, Peiyan, 2012. "Bootstrap testing multiple changes in persistence for a heavy-tailed sequence," Computational Statistics & Data Analysis, Elsevier, pages 2303-2316.
    24. Juan carlos Cuestas & Barry Harrison, 2014. "Unemployment hysteresis in the EU15: Has anything changed?," Economics Bulletin, AccessEcon, vol. 34(4), pages 2308-2314.
    25. Antonio Noriega & Carlos Capistrán & Manuel Ramos-Francia, 2013. "On the dynamics of inflation persistence around the world," Empirical Economics, Springer, pages 1243-1265.

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