Temporal aggregation in a periodically integrated autoregressive process


Article
volume 30, issue 3 pp 235-240.
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A periodically integrated autoregressive process for a time series which is observed S times per year assumes the presence of S - 1 cointegration relations between the annual series containing the seasonal observations, with the additional feature that these relations are different across the seasons. This means that there is a single unit root in the vector autoregression for these annual series. In this paper it is shown that temporally aggregating such a process does not affect the presence of this unit root, i.e. the aggregated series is also periodically integrated.



Keywords


Automatically Extracted Terms
  • process
  • series
  • vector
  • aggregation
  • unit root
  • time series
  • cointegration
  • boswijk / statistics
  • relation
  • franse
  • matrix
  • n trend
  • statistic
  • probability
  • order
  • model
  • letter
  • cointegrating
  • boswijk
  • autoregressive