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Separation, Weak Exogeneity, And P-T Decomposition In Cointegrated Var Systems With Common Features

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  • Alain Hecq
  • Franz Palm
  • Jean-Pierre Urbain

Abstract

The aim of this paper is to study the concept of separability in multiple nonstationary time series displaying both common stochastic trends and common stochastic cycles. When modeling the dynamics of multiple time series for a panel of several entities such as countries, sectors, firms, imposing some form of separability and commonalities is often required to restrict the dimension of the parameter space. For this purpose we introduce the concept of common feature separation and investigate the relationships between separation in cointegration and separation in serial correlation common features. Loosely speaking we investigate whether a set of time series can be partitioned into subsets such that there are serial correlation common features within the sub-groups only. The paper investigates three issues. First, it provides conditions for separating joint cointegrating vectors into marginal cointegrating vectors as well as separating joint short-term dynamics into marginal short-term dynamics. Second, conditions for making permanent-transitory decompositions based on marginal systems are given. Third, issues of weak exogeneity are considered. Likelihood ratio type tests for the different hypotheses under study are proposed. An empirical analysis of the link between economic fluctuations in the United States and Canada shows the practical relevance of the approach proposed in this paper.

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Bibliographic Info

Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 21 (2002)
Issue (Month): 3 ()
Pages: 273-307

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Handle: RePEc:taf:emetrv:v:21:y:2002:i:3:p:273-307

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Related research

Keywords: Separation; Cointegration; Common features; Weak exogeneity; P-T Decomposition; Consumption function;

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References

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Citations

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Cited by:
  1. Paruolo Paolo, 2002. "Testing for common trends in conditional I(2) VAR models," Economics and Quantitative Methods qf0216, Department of Economics, University of Insubria.
  2. Narayan, Paresh Kumar, 2008. "Understanding the importance of permanent and transitory shocks at business cycle horizons for the UK," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(12), pages 2879-2888.
  3. Narayan, Paresh Kumar, 2008. "An investigation of the behaviour of Australia's business cycle," Economic Modelling, Elsevier, vol. 25(4), pages 676-683, July.
  4. Paresh Narayan, 2008. "Common Trends and Common Cycles in Per Capita GDP: The Case of the G7 Countries, 1870–2001," International Advances in Economic Research, Springer, vol. 14(3), pages 280-290, August.
  5. Narayan, Paresh Kumar, 2008. "Estimating exchange rate responsiveness to shocks," Review of Financial Economics, Elsevier, vol. 17(4), pages 338-351, December.
  6. Cengiz Arikan & Yeliz Yalcin, 2013. "Determining the Exogeneity of Tax Components with Respect to GDP," International Journal of Academic Research in Accounting, Finance and Management Sciences, Human Resource Management Academic Research Society, International Journal of Academic Research in Accounting, Finance and Management Sciences, vol. 3(3), pages 242-255, July.
  7. Paruolo Paolo, 2003. "Common trends and cycles in I(2) VAR systems," Economics and Quantitative Methods qf0217bis, Department of Economics, University of Insubria.
  8. Hecq, Alain & Palm, Franz C. & Urbain, Jean-Pierre, 2006. "Common cyclical features analysis in VAR models with cointegration," Journal of Econometrics, Elsevier, vol. 132(1), pages 117-141, May.
  9. Cubadda, Gianluca & Hecq, Alain, 2003. "The Role of Common Cyclical Features for Coincident and Leading Indexes Building," Economics & Statistics Discussion Papers esdp03002, University of Molise, Dept. EGSeI.
  10. Gianluca Cubadda & Alain Hecq & Franz C. Palm, 2008. "Studying Co-Movements in Large Multivariate Data Prior to Multivariate Modelling," CEIS Research Paper 125, Tor Vergata University, CEIS, revised 14 Jul 2008.
  11. Paresh Kumar Narayan & Seema Narayan, 2008. "The role of permanent and transitory shocks in explaining international health expenditures," Health Economics, John Wiley & Sons, Ltd., vol. 17(10), pages 1171-1186.
  12. Christophe Rault, 2004. "Further results on weak-exogeneity in vector error correction models," Econometric Society 2004 Far Eastern Meetings 402, Econometric Society.
  13. Franchi, Massimo & Paruolo, Paolo, 2011. "A characterization of vector autoregressive processes with common cyclical features," Journal of Econometrics, Elsevier, vol. 163(1), pages 105-117, July.

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