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Separation in Cointegrated Systems and Persistent-Transitory Decompositions

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  • Granger, Clive W J
  • Haldrup, Niels

Abstract

The notion of separation in cointegrated systems helps identifying possible sub-system structures that may reduce the complexity of larger systems by yielding a more parsimonious representation of the time series. In this paper the authors demonstrate that although the subsystem cointegration analysis in such systems can be conducted in case of both completely and partially separated systems, the dual approach, i.e. calculation of the common stochastic trends, may turn out to yield properties of the trends that differ depending upon the type of separation under consideration. In particular, they demonstrate how persistent-transitory (P-T) decompositions and long- and short-memory factorizations of a multivariate time series will interact across systems when considering the presence (or absence) of different types of separation. Generalizations to non-linear error correction models are briefly discussed. Copyright 1997 by Blackwell Publishing Ltd

Suggested Citation

  • Granger, Clive W J & Haldrup, Niels, 1997. "Separation in Cointegrated Systems and Persistent-Transitory Decompositions," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 449-463, November.
    • Handle: RePEc:bla:obuest:v:59:y:1997:i:4:p:449-63
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    Cited by:

    1. Granger, Clive W.J. & Jeon, Yongil, 2007. "Evaluation of global models," Economic Modelling, Elsevier, vol. 24(6), pages 980-989, November.
    2. F. Bacchini & M. E. Bontempi & R. Golinelli & C. Jona Lasinio, 2014. "ICT and Non-ICT investments: short and long run macro dynamics," Working Papers wp956, Dipartimento Scienze Economiche, Universita' di Bologna.
    3. Fabio Bacchini & Maria Elena Bontempi & Roberto Golinelli & Cecilia Jona-Lasinio, 2018. "Short- and long-run heterogeneous investment dynamics," Empirical Economics, Springer, vol. 54(2), pages 343-378, March.
    4. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2000. "Testing for Common Cyclical Features in Nonstationary Panel Data Models," CESifo Working Paper Series 248, CESifo.
    5. Guglielmo Maria Caporale & Davide Ciferri & Alessandro Girardi, 2011. "Are The Baltic Countries Ready To Adopt The Euro? A Generalized Purchasing Power Parity Approach," Manchester School, University of Manchester, vol. 79(3), pages 429-454, June.
    6. Kurita, Takamitsu, 2011. "Long-run exclusion and the determination of cointegrating rank: Monte Carlo evidence," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 81(9), pages 1733-1740.
    7. Reinhold Heinlein & Hans-Martin Krolzig, 2013. "Monetary Policy and Exchange Rates: A Balanced Two-Country Cointegrated VAR Model Approach," Studies in Economics 1321, School of Economics, University of Kent.
    8. Clemens Kool, 2006. "Financial Stability in European Banking: The Role of Common Factors," Open Economies Review, Springer, vol. 17(4), pages 525-540, December.
    9. Greasley, David & Oxley, Les, 2000. "British Industrialization, 1815-1860: A Disaggregate Time-Series Perspective," Explorations in Economic History, Elsevier, vol. 37(1), pages 98-119, January.
    10. Lucio Sarno & Giorgio Valente, 2005. "Modelling and forecasting stock returns: exploiting the futures market, regime shifts and international spillovers," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 20(3), pages 345-376, March.
    11. Gilles Dufrénot & Valérie Mignon, 2002. "La cointégration non linéaire : une note méthodologique," Economie & Prévision, La Documentation Française, vol. 155(4), pages 117-137.
    12. Patterson, K. D., 2003. "Exploiting information in vintages of time-series data," International Journal of Forecasting, Elsevier, vol. 19(2), pages 177-197.
    13. Root, Thomas H. & Lien, Donald, 2003. "Can modeling the natural gas futures market as a threshold cointegrated system improve hedging and forecasting performance?," International Review of Financial Analysis, Elsevier, vol. 12(2), pages 117-133.
    14. Castle, Jennifer L. & Kurita, Takamitsu, 2021. "A dynamic econometric analysis of the dollar-pound exchange rate in an era of structural breaks and policy regime shifts," Journal of Economic Dynamics and Control, Elsevier, vol. 128(C).
    15. Bardsen, Gunnar & Eitrheim, Oyvind & Jansen, Eilev S. & Nymoen, Ragnar, 2005. "The Econometrics of Macroeconomic Modelling," OUP Catalogue, Oxford University Press, number 9780199246502.
    16. Haldrup, Niels, "undated". "Empirical analysis of price data in the delineation of the relevant geographical market in competition analysis," Economics Working Papers 2003-9, Department of Economics and Business Economics, Aarhus University.
    17. Kurita, Takamitsu, 2019. "Separate cointegration in a VAR system subject to structural breaks," Economics Letters, Elsevier, vol. 179(C), pages 19-23.
    18. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2002. "Separation, Weak Exogeneity, And P-T Decomposition In Cointegrated Var Systems With Common Features," Econometric Reviews, Taylor & Francis Journals, vol. 21(3), pages 273-307.
    19. Heinlein, Reinhold & Krolzig, Hans-Martin, 2012. "On the construction of two-country cointegrated VAR models with an application to the UK and US," VfS Annual Conference 2012 (Goettingen): New Approaches and Challenges for the Labor Market of the 21st Century 62310, Verein für Socialpolitik / German Economic Association.
    20. Marçal, Emerson Fernandes & Zimmermann, Beatrice Aline & Mendonça, Diogo de Prince & Merlin, Giovanni Tondin, 2015. "Addressing important econometric issues on how to construct theoretical based exchange rate misalignment estimates," Textos para discussão 401, FGV EESP - Escola de Economia de São Paulo, Fundação Getulio Vargas (Brazil).
    21. Cassola, Nuno & Morana, Claudio, 2004. "Monetary policy and the stock market in the euro area," Journal of Policy Modeling, Elsevier, vol. 26(3), pages 387-399, April.

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