On the performance of wavelet based unit root tests

In this paper, we apply the wavelet methods in the popular Augmented Dickey-Fuller and M types of unit root tests. Moreover, we provide an extensive comparison of the wavelet based unit root tests which also includes the recent contributions in the literature. Moreover, we derive the asymptotic prop...

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Veröffentlicht in:Journal of risk and financial management 2018-09, Vol.11 (3), p.1-22
Hauptverfasser: Eroğlu, Burak Alparslan, Soybilgen, Barış
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description In this paper, we apply the wavelet methods in the popular Augmented Dickey-Fuller and M types of unit root tests. Moreover, we provide an extensive comparison of the wavelet based unit root tests which also includes the recent contributions in the literature. Moreover, we derive the asymptotic properties of the wavelet based unit root tests under generalized least squares detrending mechanism. We demonstrate that the wavelet based M tests exhibit better size performance even in problematic cases such as the presence of negative moving average innovations. However, the power performances of the wavelet based unit root tests are quite similar to each other.
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source MDPI - Multidisciplinary Digital Publishing Institute; EZB-FREE-00999 freely available EZB journals
subjects Approximation
Cointegration analysis
Decomposition
Dickey, David
Economic models
GLS detrending
Mathematical functions
Monte Carlo simulation
Time series
unit root testing
wavelet
Wavelet transforms
title On the performance of wavelet based unit root tests
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