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Modelling seasonality with fractionally integrated processes

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  • Gil-Alaña, Luis A.

Abstract

We propose in this article the use of a particular version of the tests of Robinson (1994) for testing seasonally fractionally integrated processes. The tests have standard null and local limit distributions and allow us to test unit and fractional seasonal roots even with different amplitudes at different frequencies. A Monte Carlo experiment is conducted to check the power of the tests against different types of fractional alternatives and, an empirical application, using quarterly data for the U.S. total expenditure of several monetary aggregates is also carried out at the end of the article.

Suggested Citation

  • Gil-Alaña, Luis A., 2000. "Modelling seasonality with fractionally integrated processes," SFB 373 Discussion Papers 2000,16, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
  • Handle: RePEc:zbw:sfb373:200016
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    More about this item

    Keywords

    fractional integration; seasonal unit roots; Monte Carlo simulations;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • 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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