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A Measure Of Comovement For Economic Variables: Theory And Empirics

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Author Info
Christophe Croux
Mario Forni
Lucrezia Reichlin

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Abstract

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 of coherence and coherency. Dynamic correlation on a frequency band equals (static) correlation of bandpass-filtered series. Moreover, long-run correlation and cohesion relate in a simple way to co-integration. Cohesion is useful to study problems of business-cycle synchronization, to investigate short-run and long-run dynamic properties of multiple time series, and to identify dynamic clusters. We use state income data for the United States and GDP data for European nations to provide an empirical illustration that is focused on the geographical aspects of business-cycle fluctuations. © 2001 by the President and Fellows of Harvard College and the Massachusetts Institute of Technolog

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Article provided by MIT Press in its journal The Review of Economics and Statistics.

Volume (Year): 83 (2001)
Issue (Month): 2 (May)
Pages: 232-241
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Handle: RePEc:tpr:restat:v:83:y:2001:i:2:p:232-241

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  1. Theodore M. Crone, 2003. "An alternative definition of economic regions in the U.S. based on similarities in state business cycles," Working Papers 03-23, Federal Reserve Bank of Philadelphia. [Downloadable!]
  2. Michael T. Owyang & David E. Rapach & Howard J. Wall, 2007. "States and the business cycle," Working Papers 2007-050, Federal Reserve Bank of St. Louis. [Downloadable!]
  3. Benoit Bellone, 2004. "Une lecture probabiliste du cycle d’affaires américain," Econometrics 0407002, EconWPA, revised 28 Mar 2005. [Downloadable!]
  4. Fabien Tripier, 2005. "Sticky prices, fair wages, and the co-movements of unemployment and labor productivity growth," Macroeconomics 0510015, EconWPA. [Downloadable!]
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  5. Giancarlo Bruno & Marco Malgarini, 2002. "An Indicator of Economic Sentiment for the Italian Economy," ISAE Working Papers 28, ISAE - Institute for Studies and Economic Analyses - (Rome, ITALY). [Downloadable!]
  6. Eickmeier, Sandra, 2006. "Comovements and heterogeneity in the Comovements and heterogeneity in the dynamic factor model," Discussion Paper Series 1: Economic Studies 2006,31, Deutsche Bundesbank, Research Centre. [Downloadable!]
  7. Maximo Camacho & Gabriel Perez-Quiros & Lorena Saiz & Universidad de Murcia, 2006. "Do european business cycles look like one $\_?$," Computing in Economics and Finance 2006 175, Society for Computational Economics. [Downloadable!]
  8. Antonello D’Agostino & Domenico Giannone & Paolo Surico, 2006. "(Un)Predictability and macroeconomic stability," Working Paper Series 605, European Central Bank. [Downloadable!]
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  9. Eickmeier, Sandra, 2004. "Business Cycle Transmission from the US to Germany : a Structural Factor Approach," Discussion Paper Series 1: Economic Studies 2004,12, Deutsche Bundesbank, Research Centre. [Downloadable!]
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  10. Lemmens, A. & Croux, C. & Dekimpe, M.G., 2004. "Decomposing Granger Causality over the Spectrum," Research Paper ERS-2004-102-MKT Revision, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus Uni. [Downloadable!]
  11. Fabien Tripier, 2002. "The Dynamic Correlation Between Growth and Unemployment," Economics Bulletin, Economics Bulletin, vol. 5, pages 1-9. [Downloadable!]
  12. Forni, Mario, 2002. "Using Stationarity Tests in Antitrust Market Definition," CEPR Discussion Papers 3236, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  13. Camacho, Maximo & Pérez-Quirós, Gabriel & Sáiz Matute, Lorena, 2005. "Are European Business Cycles Close Enough to be Just One?," CEPR Discussion Papers 4824, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
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  14. Pistoresi, Barbara & Strozzi, Chiara, 2001. "Rent Sharing in Wage Determination: Evidence from Italy," CEPR Discussion Papers 2939, C.E.P.R. Discussion Papers. [Downloadable!] (restricted)
  15. Benoit Bellone & David Saint-Martin, 2004. "Detecting Turning Points with Many Predictors through Hidden Markov Models," Econometrics 0407001, EconWPA. [Downloadable!]
  16. Sanvi Avouyi-Dovi & Julien Matheron, 2005. "Interactions between business cycles, financial cycles and monetary policy: stylised facts," BIS Papers chapters, in: Bank for International Settlements (ed.), Investigating the relationship between the financial and real economy, volume 22, pages 273-98 Bank for International Settlements. [Downloadable!]
  17. Theodore M. Crone, 2004. "A redefinition of economic regions in the U.S," Working Papers 04-12, Federal Reserve Bank of Philadelphia. [Downloadable!]
  18. Crowley , Patrick & Lee , Jim, 2005. "Decomposing the co-movement of the business cycle: a time-frequency analysis of growth cycles in the euro area," Research Discussion Papers 12/2005, Bank of Finland. [Downloadable!]
  19. Eickmeier, Sandra & Breitung, Jörg, 2005. "How synchronized are central and east European economies with the euro area? : Evidence from a structural factor model," Discussion Paper Series 1: Economic Studies 2005,20, Deutsche Bundesbank, Research Centre. [Downloadable!]
  20. Ciccarelli, Carlo & Fenoaltea, Stefano & Proietti, Tommaso, 2008. "The comovements of construction in Italy's regions, 1861-1913," MPRA Paper 8870, University Library of Munich, Germany. [Downloadable!]
  21. Sandra Eickmeier & Joerg Breitung, 2006. "Business cycle transmission from the euro area to CEECs," Computing in Economics and Finance 2006 229, Society for Computational Economics. [Downloadable!]
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