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A nonparametric regression cross spectrum for multivariate time series

Jan Beran

No 08/01, CoFE Discussion Papers from University of Konstanz, Center of Finance and Econometrics (CoFE)

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)
Date: 2008
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Citations: View citations in EconPapers (1)

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