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Multiple Unit Roots in Periodic Autoregression

H. Peter Boswijk (), Philip Hans Franses () and Niels Haldrup ()

Economics Working Papers from School of Economics and Management, University of Aarhus

Abstract: In this paper we propose a model selection strategy for a univariate periodic autoregressive time series which involves tests for one or more unit roots and for parameter restrictions corresponding to seasonal unit roots and mutiple unit roots at the zero frequency. Examples of models that are considered are variants of the seasonal unit roots models and the periodic integration model. We show that the asymptotic distributions of various test statistics are the same as well-known distributions which are already tabulated. We apply our strategy to three empirical series to illustrate its of use. We find that evidence for seasonal unit roots based on nonperiodic models disappears when periodic representations are considered.

Keywords: TIME SERIES; DISTRIBUTION (search for similar items in EconPapers)
JEL-codes: C12 C22 C32 (search for similar items in EconPapers)
Date: 1996
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Related works:
Working Paper: Multiple Unit Roots in Periodic Autoregression (1995)
Journal Article: Multiple unit roots in periodic autoregression (1997) Downloads
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