Spectral Approach to Parameter-Free Unit Root Testing
Natalia Bailey () and
Liudas Giraitis ()
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Liudas Giraitis: Queen Mary University of London, https://www.qmul.ac.uk/sef/staff/liudasgiraitis.html
No 746, Working Papers from Queen Mary University of London, School of Economics and Finance
A relatively simple frequency-type testing procedure for unit root potentially contaminated by an additive stationary noise is introduced, which encompasses general settings and allows for linear trends. The proposed test for unit root versus stationarity is based on a finite number of periodograms computed at low Fourier frequencies. It is not sensitive to the selection of tuning parameters defining the range of frequencies so long as they are in the vicinity of zero. The test does not require augmentation, has parameter-free non-standard asymptotic distribution and is correctly sized. The consistency rate under the alternative of stationarity reveals the relation between the power of the test and the long-run variance of the process. The finite sample performance of the test is explored in a Monte Carlo simulation study, and its empirical application suggests rejection of the unit root hypothesis for some of the Nelson-Plosser time series.
Keywords: Unit root test; Additive noise; Parameter-free distribution (search for similar items in EconPapers)
JEL-codes: C21 C23 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm and nep-ets
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Journal Article: Spectral approach to parameter-free unit root testing (2016)
Working Paper: Spectral Approach to Parameter-Free Unit Root Testing (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:qmw:qmwecw:wp746
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