Temporal Aggregation of Seasonally Near-Integrated Processes

Tomás del Barrio Castro, Paulo Rodrigues and Robert Taylor

No 86, DEA Working Papers from Universitat de les Illes Balears, Departament d'Economía Aplicada

Abstract: In this paper we investigate the implications that temporally aggregating, either by average sampling or systematic sampling, a seasonal process has on the integration properties of the resulting series at both the zero and seasonal frequencies. Our results extend the existing literature in three ways. First, they demonstrate the implications of temporal aggregation for a general seasonally integrated process with S seasons. Second, rather than only considering the aggregation of seasonal processes with exact unit roots at some or all of the zero and seasonal frequencies, we consider the case where these roots are local-to-unity (which includes exact unit roots as a special case) such that the original series is near-integrated at some or all of the zero and seasonal frequencies. These results show, among other things, that systematic sampling, although not average sampling, can impact on the non-seasonal unit root properties of the data; for example, even where an exact zero frequency unit root holds in the original data it need not necessarily hold in the systematically sampled data. Moreover, the systematically sampled data could be near-integrated at the zero frequency even where the original data is not. Third, the implications of aggregation on the deterministic kernel of the series are explored.

Keywords: Aggregation; systematic sampling; average sampling; seasonal (near-) unit roots; demodulation (search for similar items in EconPapers)
JEL-codes: C12 C22 (search for similar items in EconPapers)
Date: 2018
New Economics Papers: this item is included in nep-ecm and nep-ets
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Related works:
Journal Article: Temporal Aggregation of Seasonally Near‐Integrated Processes (2019)
Working Paper: Temporal aggregation of seasonally near-integrated processes (2019)
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Persistent link: https://EconPapers.repec.org/RePEc:ubi:deawps:86

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