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A powerful test for linearity when the order of integration is unknown

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  • David I. Harvey
  • Stephen J. Leybourne
  • Bin Xiao

Abstract

In this paper we propose a test of the null hypothesis of time series linearity against a nonlinear alternative, when uncertainty exists as to whether or not the series contains a unit root. We provide a test statistic that has the same limiting null critical values regardless of whether the series under consideration is generated from a linear I(0) or linear I(1) process, and is consistent against nonlinearity of either form, being asymptotically equivalent to the efficient test in each case. Finite sample simulations show that the new procedure has good size control and offers substantial power gains over the recently proposed robust linearity test of Harvey and Leybourne (2007).

Suggested Citation

  • David I. Harvey & Stephen J. Leybourne & Bin Xiao, 2007. "A powerful test for linearity when the order of integration is unknown," Discussion Papers 07/01, University of Nottingham, Granger Centre for Time Series Econometrics.
    • Handle: RePEc:not:notgts:07/01
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    References listed on IDEAS

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