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Generalized Fractional Time Series Modelling of the Relationship between Consumption and Income in the UK


  • Gil-Alana, Luis A.


We propose in this article a general time series model, whose components are modelled in terms of fractionally integrated processes. This specification allows us to consider the trend, the seasonal and the cyclical components as stochastic processes, including the unit root models as particular cases. A very general version of the tests of Robinson (1994) is used to test the order of integration of each component. Finite-sample critical values of the tests are evaluated and, an empirical application, is also carried out at the end of the article.

Suggested Citation

  • Gil-Alana, Luis A., 2003. "Generalized Fractional Time Series Modelling of the Relationship between Consumption and Income in the UK," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 3(1).
  • Handle: RePEc:eaa:aeinde:v:3:y:2003:i:3_5

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    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables
    • O52 - Economic Development, Innovation, Technological Change, and Growth - - Economywide Country Studies - - - Europe


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