The Phillips unit root tests for polynomials of integrated processes
Economics Letters, 2012, vol. 114, issue 3, 299-303
In this paper, we derive the limiting distributions of the first order serial correlation coefficient and its t-statistic, which are the basis for the non-parametric unit root tests of Phillips (1987), for polynomials of integrated processes. The resulting limiting distributions depend upon nuisance parameters and in general the modification proposed by Phillips (1987), to achieve a nuisance parameter free limiting distribution, is not feasible for polynomials of integrated processes. For the special case of serially uncorrelated innovations, the limiting distributions are nuisance parameter free and are simulated. The distributions shift to the left with increasing variance for increasing polynomial orders.
Keywords: Integrated process; Phillips unit root tests; Polynomial transformation (search for similar items in EconPapers)
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