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Time-Transformed Unit Root Tests for Models with Non-Stationary Volatility

  • Giuseppe Cavaliere
  • A. M. Robert Taylor

Conventional unit root tests are known to be unreliable in the presence of permanent volatility shifts. In this paper, we propose a new approach to unit root testing which is valid in the presence of a quite general class of permanent variance changes which includes single and multiple (abrupt and smooth transition) volatility change processes as special cases. The new tests are based on a time transformation of the series of interest which automatically corrects their form for the presence of non-stationary volatility without the need to specify any parametric model for the volatility process. Despite their generality, the new tests perform well even in small samples. We also propose a class of tests for the null hypothesis of stationary volatility in (near-) integrated time-series processes. Copyright 2007 The Authors

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Article provided by Wiley Blackwell in its journal Journal of Time Series Analysis.

Volume (Year): 29 (2008)
Issue (Month): 2 (03)
Pages: 300-330

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Handle: RePEc:bla:jtsera:v:29:y:2008:i:2:p:300-330
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