IDEAS home Printed from https://ideas.repec.org/a/prs/ecoprv/ecop_0249-4744_2002_num_155_4_6874.html
   My bibliography  Save this article

La cointégration non linéaire : une note méthodologique

Author

Listed:
  • Gilles Dufrénot
  • Valérie Mignon

Abstract

[eng] Non-linear Cointegration : a Discussion of Methodology.. The aim of this paper is to present recent contributions extending the classical concept of cointegration to non-linear cases. Thus, we look at a joint study of non-stationary and non-linear phenomena and offer a complete presentation of theoretical developments involving the concepts of integration, memory and non-linear cointegration. Within this framework we look at the methods available to express the non-linear cointegration concept : non-linear error correction models, tools developed from information theory and the concepts of mixed time series and time series with strong dependence. The article also gives a brief overview of empirical literature. [fre] L'objet de ce papier est de présenter les contributions récentes relatives à l'extension de la notion usuelle de cointégration au cas non linéaire. Nous nous intéressons ainsi à l'étude conjointe des phénomènes de non stationnarité et de non linéarité en proposant une présentation complète des développements théoriques concernant les notions d'intégration, de mémoire et de cointégration non linéaire. Dans ce cadre sont abordées les différentes possibilités de rendre compte du concept de cointégration non linéaire : modèles à correction d'erreur non linéaires, outils issus de la théorie de l'information et concepts de série fortement mélangée et de dépendance proche. Un bref panorama de la littérature empirique est également dressé.

Suggested Citation

  • Gilles Dufrénot & Valérie Mignon, 2002. "La cointégration non linéaire : une note méthodologique," Économie et Prévision, Programme National Persée, vol. 155(4), pages 117-137.
  • Handle: RePEc:prs:ecoprv:ecop_0249-4744_2002_num_155_4_6874
    DOI: 10.3406/ecop.2002.6874
    Note: DOI:10.3406/ecop.2002.6874
    as

    Download full text from publisher

    File URL: https://doi.org/10.3406/ecop.2002.6874
    Download Restriction: no

    File URL: https://www.persee.fr/doc/ecop_0249-4744_2002_num_155_4_6874
    Download Restriction: no

    File URL: https://libkey.io/10.3406/ecop.2002.6874?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. van Dijk, D.J.C. & Franses, Ph.H.B.F., 1997. "Nonlinear Error-Correction Models for Interest Rates in The Netherlands," Econometric Institute Research Papers EI 9704-/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    2. Granger, C W J & Lee, T H, 1989. "Investigation of Production, Sales and Inventory Relationships Using Multicointegration and Non-symmetric Error Correction Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 4(S), pages 145-159, Supplemen.
    3. Dijk, Dick van & Franses, Philip Hans, 1999. "Modeling Multiple Regimes in the Business Cycle," Macroeconomic Dynamics, Cambridge University Press, vol. 3(3), pages 311-340, September.
    4. Norman R. Swanson, 2010. "Further Developments in the Study of Cointegrated Variables," Journal of Financial Econometrics, Oxford University Press, vol. 8(2), pages 187-190, spring.
    5. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    6. Peel, David & Davidson, James, 1998. "A non-linear error correction mechanism based on the bilinear model1," Economics Letters, Elsevier, vol. 58(2), pages 165-170, February.
    7. Lin, Yan-Xia & McCrae, Michael & M. Gulati, Chandra, 1998. "Cointegration between exchange rates: a generalized linear cointegration model," Journal of Multinational Financial Management, Elsevier, vol. 8(2-3), pages 333-352, September.
    8. Christopher D. Carroll, 1994. "How does Future Income Affect Current Consumption?," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 109(1), pages 111-147.
    9. Hendry, David F & Ericsson, Neil R, 1991. "An Econometric Analysis of U.K. Money Demand in 'Monetary Trends in the United States and the United Kingdom' by Milton Friedman and Anna Schwartz," American Economic Review, American Economic Association, vol. 81(1), pages 8-38, March.
    10. Burgess, S M, 1992. "Nonlinear Dynamics in a Structural Model of Employment," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 101-118, Suppl. De.
    11. Skalin, Joakim & Teräsvirta, Timo, 2002. "Modeling Asymmetries And Moving Equilibria In Unemployment Rates," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 202-241, April.
    12. Ermini, Luigi & Granger, Clive W. J., 1993. "Some generalizations on the algebra of I(1) processes," Journal of Econometrics, Elsevier, vol. 58(3), pages 369-384, August.
    13. Granger, Clive W J & Hallman, Jeffrey J, 1991. "Long Memory Series with Attractors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(1), pages 11-26, February.
    14. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
    15. Christopher D. Carroll & Lawrence H. Summers, 1991. "Consumption Growth Parallels Income Growth: Some New Evidence," NBER Chapters, in: National Saving and Economic Performance, pages 305-348, National Bureau of Economic Research, Inc.
    16. Acemoglu, Daron & Scott, Andrew, 1994. "Asymmetries in the Cyclical Behaviour of UK Labour Markets," Economic Journal, Royal Economic Society, vol. 104(427), pages 1303-1323, November.
    17. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-879, August.
    18. Sandrine Lardic & Valérie Mignon & Claude Jessua, 1996. "Les tests de mémoire longue appartiennent-ils au "camp du démon" ?," Revue Économique, Programme National Persée, vol. 47(3), pages 531-540.
    19. 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.
    20. Peel, D. A., 1992. "Some analysis of the long-run time series properties of consumption and income in the U.K," Economics Letters, Elsevier, vol. 39(2), pages 173-178, June.
    21. Nelson, Charles R. & Plosser, Charles I., 1982. "Trends and random walks in macroeconmic time series : Some evidence and implications," Journal of Monetary Economics, Elsevier, vol. 10(2), pages 139-162.
    22. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
    23. repec:adr:anecst:y:1999:i:54:p:03 is not listed on IDEAS
    24. Sandrine Lardic & Valérie Mignon, 1999. "Prévision ARFIMA des taux de change : les modélisateurs doivent-ils encore exhorter à la naïveté des prévisions ?," Annals of Economics and Statistics, GENES, issue 54, pages 47-68.
    25. Karen E. Dynan, 1993. "How prudent are consumers?," Working Paper Series / Economic Activity Section 135, Board of Governors of the Federal Reserve System (U.S.).
    26. Burgess, Simon M, 1992. "Asymmetric Employment Cycles in Britain: Evidence and an Explanation," Economic Journal, Royal Economic Society, vol. 102(411), pages 279-290, March.
    27. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-279, March.
    28. Dynan, Karen E, 1993. "How Prudent Are Consumers?," Journal of Political Economy, University of Chicago Press, vol. 101(6), pages 1104-1113, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Chlibi Souhir & Jawadi Fredj & Sellami Mohamed, 2017. "Modeling threshold effects in stock price co-movements: a vector nonlinear cointegration approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 21(1), pages 47-63, February.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Baghli Mustapha, 2005. "Nonlinear Error-Correction Models for the FF/DM Rate," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 9(1), pages 1-43, March.
    2. Hong, Seung Hyun & Phillips, Peter C. B., 2010. "Testing Linearity in Cointegrating Relations With an Application to Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 28(1), pages 96-114.
    3. Orazio P. Attanasio, 1998. "Consumption Demand," NBER Working Papers 6466, National Bureau of Economic Research, Inc.
    4. Corradi, Valentina & Swanson, Norman R. & White, Halbert, 2000. "Testing for stationarity-ergodicity and for comovements between nonlinear discrete time Markov processes," Journal of Econometrics, Elsevier, vol. 96(1), pages 39-73, May.
    5. Robert M. deJong, 2000. "Nonlinear Minimization Estimators in the Presence of Cointegrating Relations," Econometric Society World Congress 2000 Contributed Papers 1651, Econometric Society.
    6. Akram,Q.F. & Nymoen,R., 2001. "Employment behaviour in slack and tight labour markets," Memorandum 27/2001, Oslo University, Department of Economics.
    7. de Jong, Robert M., 2001. "Nonlinear estimation using estimated cointegrating relations," Journal of Econometrics, Elsevier, vol. 101(1), pages 109-122, March.
    8. Sandrine Lardic & Valérie Mignon, 2004. "Robert F. Engle et Clive W.J. Granger prix Nobel d'économie 2003," Revue d'économie politique, Dalloz, vol. 114(1), pages 1-15.
    9. Anderson, Richard G. & Hoffman, Dennis L. & Rasche, Robert H., 2002. "A vector error-correction forecasting model of the US economy," Journal of Macroeconomics, Elsevier, vol. 24(4), pages 569-598, December.
    10. Param Silvapulle & Titi Kanti Lestari & Jae Kim, 2004. "Nonlinear Modelling of Purchasing Power Parity in Indonesia," Econometric Society 2004 Australasian Meetings 316, Econometric Society.
    11. Boswijk, H. Peter & Franses, Philip Hans & van Dijk, Dick, 2010. "Cointegration in a historical perspective," Journal of Econometrics, Elsevier, vol. 158(1), pages 156-159, September.
    12. Alba Lugilde & Roberto Bande & Dolores Riveiro, 2018. "Precautionary saving in Spain during the great recession: evidence from a panel of uncertainty indicators," Review of Economics of the Household, Springer, vol. 16(4), pages 1151-1179, December.
    13. Claudio Soto G., 2004. "Unemployment and Consumption in Chile," Journal Economía Chilena (The Chilean Economy), Central Bank of Chile, vol. 7(1), pages 31-50, April.
    14. Tung Liu & Lee C. Spector, 2005. "Dynamic employment adjustments over business cycles," Empirical Economics, Springer, vol. 30(1), pages 151-169, January.
    15. Edouard Challe & Xavier Ragot, 2016. "Precautionary Saving Over the Business Cycle," Economic Journal, Royal Economic Society, vol. 126(590), pages 135-164, February.
    16. Roberto Bande & Dolores Riveiro, 2013. "Private Saving Rates and Macroeconomic Uncertainty: Evidence from Spanish Regional Data," The Economic and Social Review, Economic and Social Studies, vol. 44(3), pages 323-349.
    17. Dennis L. Hoffman & Robert H. Rasche, 1997. "STLS/US-VECM6.1: a vector error-correction forecasting model of the U. S. economy," Working Papers 1997-008, Federal Reserve Bank of St. Louis.
    18. Kim, Hyeongwoo & Ryu, Deockhyun, 2015. "A nonparametric study of real exchange rate persistence over a century," International Review of Economics & Finance, Elsevier, vol. 37(C), pages 406-418.
    19. Paul De Grauwe & Marianna Grimaldi, 2005. "The Exchange Rate and its Fundamentals in a Complex World," Review of International Economics, Wiley Blackwell, vol. 13(3), pages 549-575, August.
    20. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:prs:ecoprv:ecop_0249-4744_2002_num_155_4_6874. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Equipe PERSEE (email available below). General contact details of provider: https://www.persee.fr/collection/ecop .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.