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Detecting changes in cross-sectional dependence in multivariate time series

Axel Bücher, Ivan Kojadinovic, Tom Rohmer and Johan Segers

Journal of Multivariate Analysis, 2014, vol. 132, issue C, 111-128

Abstract: Classical and more recent tests for detecting distributional changes in multivariate time series often lack power against alternatives that involve changes in the cross-sectional dependence structure. To be able to detect such changes better, a test is introduced based on a recently studied variant of the sequential empirical copula process. In contrast to earlier attempts, ranks are computed with respect to relevant subsamples, with beneficial consequences for the sensitivity of the test. For the computation of p-values we propose a multiplier resampling scheme that takes the serial dependence into account. The large-sample theory for the test statistic and the resampling scheme is developed. The finite-sample performance of the procedure is assessed by Monte Carlo simulations. Two case studies involving time series of financial returns are presented as well.

Keywords: Change-point detection; Empirical copula; Multiplier central limit theorem; Partial-sum process; Ranks; Strong mixing (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (11)

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DOI: 10.1016/j.jmva.2014.07.012

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