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Deterministic versus stochastic seasonal fractional integration and structural breaks

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Abstract

This paper considers a general model which allows for both deterministic and stochastic forms of seasonality, including fractional (stationary and nonstationary) seasonal orders of integration, and also incorporating endogenously determined structural breaks. Monte Carlo analysis shows that, in the case of a single break, the suggested procedure performs well even in small samples, accurately capturing the seasonal properties of the series, and correctly detecting the break date. As an illustration, the model is estimated using four US series (output, consumption, imports and exports). The results suggest that the seasonal patterns of these variables have changed over time: specifically, in the second subsample the systematic component of seasonality becomes insignificant, whilst the degree of persistence increases.

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Authors and Affiliations

  1. Centre for Empirical Finance, Brunel University, West London, UB8 3PH, UK

    Guglielmo Maria Caporale

  2. University of Navarra, Pamplona, Spain

    Juncal Cunado & Luis A. Gil-Alana

Authors
  1. Guglielmo Maria Caporale
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  2. Juncal Cunado
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  3. Luis A. Gil-Alana
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Correspondence to Guglielmo Maria Caporale.

Additional information

L.A. Gil-Alana gratefully acknowledges financial support from the Ministerio de Asusntos Exteriores y Cooperación through the Ayuda a la Movilidad de Artistas e Investigadores y Científicos, 2008, Spain.

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Caporale, G.M., Cunado, J. & Gil-Alana, L.A. Deterministic versus stochastic seasonal fractional integration and structural breaks. Stat Comput 22, 349–358 (2012). https://doi.org/10.1007/s11222-011-9227-2

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  • DOI: https://doi.org/10.1007/s11222-011-9227-2

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