A Powerful Tuning Parameter Free Test of the Autoregressive Unit Root Hypothesis
Working Papers from Cornell University, Center for Analytic Economics
This paper presents a family of simple nonparametric unit root tests indexed by one parameter, d, and containing Breitung's (2002) test as the special case d = 1. It is shown that (i) each member of the family with d > 0 is consistent, (ii) the asymptotic distribution depends on d, and thus reects the parameter chosen to implement the test, and (iii) since the asymptotic distribution depends on d and the test remains consistent for all d > 0, it is possible to analyze the power of the test for different values of d. The usual Phillips-Perron or Dickey-Fuller type tests are characterized by tuning parameters (bandwidth, lag length, etc.), i.e. parameters which change the test statistic but are not reected in the asymptotic distribution, and thus have none of these three properties. It is shown that members of the family with d
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Working Paper: A Powerful Tuning Parameter Free Test Of The Autoregressive Unit Root Hypothesis (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:ecl:corcae:08-05
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