Detecting changes in cross-sectional dependence in multivariate time series

Bücher, Axel;Kojadinovic, Ivan;Rohmer, Tom;Segers, Johan
(2014) Journal of Multivariate Analysis — Vol. 132, p. 111-128 (2014)

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Authors
  • Bücher, AxelUCLouvain
    Author
  • Kojadinovic, Ivan
    Author
  • Rohmer, Tom
    Author
  • Segers, JohanUCLouvain
    Author
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.
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Citations

Bücher, A., Kojadinovic, I., Rohmer, T., & Segers, J. (2014). Detecting changes in cross-sectional dependence in multivariate time series. Journal of Multivariate Analysis, 132, 111-128. https://doi.org/10.1016/j.jmva.2014.07.012 (Original work published 2014)