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A fractionally integrated model with a mean shift for the US and the UK real oil prices

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  • Gil-Alaña, Luis A.

Abstract

In this article we model the log of the U.S. and the U.K. real oil prices in terms of fractionally integrated processes with a mean shift. We use different versions of the tests of Robinson (1994), which have standard null and local limit distributions. The results indicate that if we model the series without a mean shift, they are both nonstationary I(1). However, allowing for a mean shift during the oil crises, they become fractionally integrated with an order of integration smaller than one and thus, showing mean reverting behaviour.

Suggested Citation

  • Gil-Alaña, Luis A., 2000. "A fractionally integrated model with a mean shift for the US and the UK real oil prices," SFB 373 Discussion Papers 2000,68, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    • Handle: RePEc:zbw:sfb373:200068
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    Cited by:

    1. Gadea, Maria Dolores & Sabate, Marcela & Serrano, Jose Maria, 2004. "Structural breaks and their trace in the memory: Inflation rate series in the long-run," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 14(2), pages 117-134, April.
    2. Zeynel Abidin Ozdemir & Mehmet Balcilar & Aysit Tansel, 2013. "International Labour Force Participation Rates By Gender: Unit Root Or Structural Breaks?," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages 142-164, May.
    3. Lu-Tao Zhao & Guan-Rong Zeng & Ling-Yun He & Ya Meng, 2020. "Forecasting Short-Term Oil Price with a Generalised Pattern Matching Model Based on Empirical Genetic Algorithm," Computational Economics, Springer;Society for Computational Economics, vol. 55(4), pages 1151-1169, April.
    4. Juan Carlos Cuestas & Paulo Jose Regis, 2008. "Nonlinearities and the order of integration of oil prices," NBS Discussion Papers in Economics 2008/15, Economics, Nottingham Business School, Nottingham Trent University.
    5. Mehmet Balcilar & Zeynel Abidin Ozdemir & Esin Cakan, 2015. "Structural Breaks, Long Memory, or Unit Roots in Stock Prices: Evidence from Emerging Markets," International Econometric Review (IER), Econometric Research Association, vol. 7(1), pages 13-33, April.
    6. Zeynel Abidin Ozdemir & Mehmet Balcilar & Aysit Tansel, 2013. "International Labour Force Participation Rates By Gender: Unit Root Or Structural Breaks?," Bulletin of Economic Research, Wiley Blackwell, vol. 65, pages 142-164, May.
    7. Caporale Guglielmo M. & Gil-Alana Luis A., 2004. "Testing for Seasonal Fractional Roots in German Real Output," German Economic Review, De Gruyter, vol. 5(3), pages 319-333, August.
    8. Yuliya Lovcha & Alejandro Perez-Laborda, 2017. "Structural shocks and dynamic elasticities in a long memory model of the US gasoline retail market," Empirical Economics, Springer, vol. 53(2), pages 405-422, September.
    9. Luis A. Gil-Alana, 2004. "Structural Change and the Order of Integration in Univariate Time Series," Computational Economics, Springer;Society for Computational Economics, vol. 23(3), pages 239-254, April.
    10. Fan, Ying & Liang, Qiang & Wei, Yi-Ming, 2008. "A generalized pattern matching approach for multi-step prediction of crude oil price," Energy Economics, Elsevier, vol. 30(3), pages 889-904, May.
    11. Chevillon, Guillaume & Rifflart, Christine, 2009. "Physical market determinants of the price of crude oil and the market premium," Energy Economics, Elsevier, vol. 31(4), pages 537-549, July.
    12. Gil-Alana, Luis A. & Yaya, OlaOluwa S., 2014. "The relationship between oil prices and the Nigerian stock market. An analysis based on fractional integration and cointegration," Energy Economics, Elsevier, vol. 46(C), pages 328-333.
    13. Luis Alberiko Gil-Alana, 2005. "Unit and Fractional Roots in the Presence of Abrupt Changes with an Application to the Brazilian Inf," Faculty Working Papers 19/05, School of Economics and Business Administration, University of Navarra.

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    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes

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