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A measure of co-movement for economic variables: theory and empirics

  • Christophe Croux
  • Mario Forni
  • Lucrezia Reichlin

This paper proposes a measure of dynamic comovement between (possibly many) time series and names it cohesion. The measure is defined in the frequency domain and is appropriate for processes that are costationary, possibly after suitable transformations. In the bivariate case, the measure reduces to dynamic correlation and is related, but not equal, to the well-known quantities coherence and coherency. Dynamic correlation on a frquency band equals (static) correlation of band-pass filtered series. Moreover, long run correlation and cohesion relate in a simple way to cointegration. Cohesion is useful to study problems of business cycle synchronization, to investigate short-run and long-run dynamic properties of multiple time series, to identify dynamic clusters. We use state income data for the US and GDP data for European nations to provide an empirical illustration focused on the geographical aspects of business cycle fluctuations.

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Paper provided by ULB -- Universite Libre de Bruxelles in its series ULB Institutional Repository with number 2013/10139.

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Date of creation: 01 May 2001
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Publication status: Published in: The Review of Economics and Statistics (2001) v.83 n° 2,p.232-241
Handle: RePEc:ulb:ulbeco:2013/10139
Contact details of provider: Postal: CP135, 50, avenue F.D. Roosevelt, 1050 Bruxelles
Web page: http://difusion.ulb.ac.be

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