Authors: Dette, Holger
Paparoditis, Efstathios
Title: Bootstrapping frequency domain tests in multivariate time series with an applicaton to comparing spectral densities
Language (ISO): en
Abstract: We propose a general bootstrap procedure to approximate the null distribution of nonparametric frequency domain tests about the spectral density matrix of a multivariate time series. Under a set of easy to verify conditions, we establish asymptotic validity of the proposed bootstrap procedure. We apply a version of this procedure together with a new statistic in order to test the hypothesis that the spectral densities of not necessarily independent time series are equal. The test statistic proposed is based on a L2-distance between the nonparametrically estimated individual spectral densities and an overall, 'pooled' spectral density, the later being obtained using the whole set of m time series considered. The effects of the dependence between the time series on the power behavior of the test are investigated. Some simulations are presented and a real-life data example is discussed.
Subject Headings: Bootstrap
Multiple time series
Nonparametric kernel estimation
Spectral density matrix
Issue Date: 2009-01-13T07:50:26Z
Appears in Collections:Sonderforschungsbereich (SFB) 475

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