2009, English, Article edition: Testing fractal connectivity in multivariate long memory processes Wendt, Herwig; Scherrer, Antoine; Abry, Patrice; ...

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Bookmark: http://trove.nla.gov.au/version/206735
Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • Testing fractal connectivity in multivariate long memory processes
Author
  • Wendt, Herwig
  • Scherrer, Antoine
  • Abry, Patrice
  • Achard, Sophie
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • Within the framework of long memory multivariate processes, fractal connectivity is a particular model, in which the low frequencies (coarse scales) of the interspectrum of each pair of process components are determined by the autospectra of the components. The underlying intuition is that long memories in each components are likely to arise from a same and single mechanism. The present contribution aims at defining and characterizing a statistical procedure for testing actual fractal connectivity amongst data. The test is based on Fisher's Z transform and Pearson correlation coefficient, and anchored in a wavelet framework. Its performance are analyzed theoretically and validated on synthetic data. Its usefulness is illustrated on the analysis of Internet traffic Packet and Byte count time series.
  • HAL:ensl-00362174, version 1
  • HAL:http:/​/​prunel.ccsd.cnrs.fr/​ensl-00362174/​en/​
Language
  • English
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