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A nonparametric regression cross spectrum for multivariate time series

Jan Beran () and Mark A. Heiler
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Jan Beran: University of Konstanz

No 08-01, CoFE Discussion Paper from Center of Finance and Econometrics, University of Konstanz

Abstract: We consider dependence structures in multivariate time series that are characterized by deterministic trends. Results from spectral analysis for stationary processes are extended to deterministic trend functions. A regression cross covariance and spectrum are defined. Estimation of these quantities is based on wavelet thresholding. The method is illustrated by a simulated example and a three-dimensional time series consisting of ECG, blood pressure and cardiac stroke volume measurements.

Keywords: Nonparametric trend estimation; cross spectrum; wavelets; regression spectrum; phase; threshold estimator (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm, nep-ets and nep-ore
Date: 2008-01-01
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