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A wavelet approach to multiple cointegration testing

Javier Fernandez-Macho

No 668, Economics Series Working Papers from University of Oxford, Department of Economics

Abstract: This paper introduces a class of cointegration tests based on estimated low-pass and high-pass regression coefficients from the same wavelet transform of the original time series data. The procedure can be applied to test the null of cointegration in a n + k multivariate system with n cointegrating relationships without the need of either detrending nor differencing. The proposed non residual-based wavelet statistics are asymptotically distributed as standard chi-square with nk degrees of freedom regardless of deterministic terms or dynamic regressors, thus offering a simple way of testing for cointegration under the null without the need of special tables. Small sample quantiles for these wavelet statistics are obtained using Monte Carlo simulation in different situations including I(1) and higher order cointegration cases and it is shown that these wavelet tests exhibit appropriate size and good power when compared to other tests of the null of cointegration.

Keywords: Brownian motion; cointegration; econometric methods; integrated process; multivariate analysis; spectral analysis; time series models; unit roots; wavelet analysis (search for similar items in EconPapers)
JEL-codes: C22 C12 (search for similar items in EconPapers)
Date: 2013-07-11
New Economics Papers: this item is included in nep-ecm and nep-ets
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