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A joint test of fractional integration and structural breaks at a known period of time

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  • Luis A. Gil‐Alana

Abstract

. We propose the use of a version of the tests of Robinson [Journal of the American Statistical Association, 89 (1994) 1420] for testing the order of integration in raw time series in the presence of structural breaks at known periods of time. Also, a joint test for simultaneously testing the degree of integration and the need for the break is developed. Several Monte Carlo experiments conducted in the paper show that the joint test has better size and power properties relative to Robinson's (1994) tests. The tests are applied to the annual structure of the US real GDP, the results showing that the series is I(d) with d≥1, and with a break due to the World War II.

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  • Luis A. Gil‐Alana, 2004. "A joint test of fractional integration and structural breaks at a known period of time," Journal of Time Series Analysis, Wiley Blackwell, vol. 25(5), pages 691-700, September.
    • Handle: RePEc:bla:jtsera:v:25:y:2004:i:5:p:691-700
    DOI: 10.1111/j.1467-9892.2004.01882.x
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    Citations

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    Cited by:

    1. Katarzyna Lasak, 2008. "Maximum likelihood estimation of fractionally cointegrated systems," CREATES Research Papers 2008-53, Department of Economics and Business Economics, Aarhus University.
    2. Lasak, Katarzyna, 2010. "Likelihood based testing for no fractional cointegration," Journal of Econometrics, Elsevier, vol. 158(1), pages 67-77, September.
    3. Juan Carlos Cuestas & Luis Gil-Alana, 2024. "Unemployment Hysteresis by Sex and Education Attainment in the EU," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 15(1), pages 801-827, March.
    4. Derek Bond & Michael J. Harrison & Niall Hession & Edward J. O'Brien, 2006. "Some Empirical Observations on the Forward Exchange Rate Anomaly," Trinity Economics Papers tep2006, Trinity College Dublin, Department of Economics.
    5. Hwang, Eunju & Shin, Dong Wan, 2013. "A CUSUM test for a long memory heterogeneous autoregressive model," Economics Letters, Elsevier, vol. 121(3), pages 379-383.
    6. Cuestas, Juan C. & Gil-Alana, Luis A. & Staehr, Karsten, 2011. "A further investigation of unemployment persistence in European transition economies," Journal of Comparative Economics, Elsevier, vol. 39(4), pages 514-532.
    7. Banerjee, Anindya & Urga, Giovanni, 2005. "Modelling structural breaks, long memory and stock market volatility: an overview," Journal of Econometrics, Elsevier, vol. 129(1-2), pages 1-34.
    8. Omane-Adjepong, Maurice & Boako, Gideon, 2017. "Long-range dependence in returns and volatility of global gold market amid financial crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 188-202.
    9. Juan Carlos Cuestas & Luis A. Gil-Alana, 2009. "Unemployment hysteresis, structural changes, non-linearities and fractional integration in Central and Eastern Europe," NBS Discussion Papers in Economics 2009/6, Economics, Nottingham Business School, Nottingham Trent University.
    10. Juan Carlos Cuestas & Luis A. Gil-Alana, 2011. "Unemployment hysteresis, structural changes, non-linearities and fractional integration in European transition economies," Working Papers 2011005, The University of Sheffield, Department of Economics, revised Feb 2011.
    11. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2006. "Purchasing Power Parity: The Irish Experience Re-visited," Trinity Economics Papers tep200615, Trinity College Dublin, Department of Economics.

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