IDEAS home Printed from https://ideas.repec.org/p/cte/wsrepe/6219.html
   My bibliography  Save this paper

Searching for linear and nonlinear cointegration: a new approach

Author

Listed:
  • Aparicio, Felipe M.

Abstract

In this paper we propose several statistics to measure serial dependence that are useful to characterize short and long memory properties. By doing that we can measure nonlinear serial dependence, which allows us to extend the usual linear framework and to discuss short-memory and long-memory properties in a nonlinear contexto Bootstrap simulation experiments report promising results for the new indices to detect nonlinearities in the cointegrating relationship,prior to estimating the nonlinear cointegrating function.

Suggested Citation

  • Aparicio, Felipe M., 1997. "Searching for linear and nonlinear cointegration: a new approach," DES - Working Papers. Statistics and Econometrics. WS 6219, Universidad Carlos III de Madrid. Departamento de Estadística.
    • Handle: RePEc:cte:wsrepe:6219
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/2ea93bb1-9ecf-4d40-9176-12c18076e18d/content
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Aparicio F. M. & Escribano A., 1998. "Information-Theoretic Analysis of Serial Dependence and Cointegration," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 3(3), pages 1-24, October.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. P. M. Robinson, 1991. "Consistent Nonparametric Entropy-Based Testing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 437-453.
    4. Alvaro Escribano & Santiago Mira, 2002. "Nonlinear error correction models," Journal of Time Series Analysis, Wiley Blackwell, vol. 23(5), pages 509-522, September.
    5. 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.
    6. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    7. Mira, Santiago, 1997. "Nonlinear cointegration with mixing errors," DES - Working Papers. Statistics and Econometrics. WS 6204, Universidad Carlos III de Madrid. Departamento de Estadística.
    8. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
    9. Escribano, A., 1987. "Error-correction systems: nonlinear adjustments to linear long-run relationships," LIDAM Discussion Papers CORE 1987030, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    10. Granger, Clive W. J. & Terasvirta, Timo, 1993. "Modelling Non-Linear Economic Relationships," OUP Catalogue, Oxford University Press, number 9780198773207.
    11. 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.
    12. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
    13. James G. MacKinnon, 1990. "Critical Values for Cointegration Tests," Working Paper 1227, Economics Department, Queen's University.
    14. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
    15. Granger, Clive W J, 1995. "Modelling Nonlinear Relationships between Extended-Memory Variables," Econometrica, Econometric Society, vol. 63(2), pages 265-279, March.
    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. Aparicio, Felipe M. & Arranz, Miguel A., 2000. "A model free cointegration approach for pairs of I(d) variables," DES - Working Papers. Statistics and Econometrics. WS 9967, Universidad Carlos III de Madrid. Departamento de Estadística.

    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. Breitung, Jorg, 2001. "Rank Tests for Nonlinear Cointegration," Journal of Business & Economic Statistics, American Statistical Association, vol. 19(3), pages 331-340, July.
    2. Saadet Kirbas Kasman & Adnan Kasman & Evrim Turgutlu, 2005. "Fisher Hypothesis Revisited: A Fractional Cointegration Analysis," Discussion Paper Series 05/04, Dokuz Eylül University, Faculty of Business, Department of Economics, revised 23 Nov 2005.
    3. Aparicio, Felipe M., 2003. "Cointegration tests based on record counting statistics," DES - Working Papers. Statistics and Econometrics. WS ws036615, Universidad Carlos III de Madrid. Departamento de Estadística.
    4. Abdul Qayyum, 2000. "Demand for Real Money Balances by the Business Sector: An Econometric Investigation," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 39(4), pages 857-873.
    5. Haldrup, Niels & Nielsen, Morten Orregaard, 2006. "A regime switching long memory model for electricity prices," Journal of Econometrics, Elsevier, vol. 135(1-2), pages 349-376.
    6. Jürgen Wolters & Uwe Hassler, 2006. "Unit root testing," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 90(1), pages 43-58, March.
    7. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    8. Lütkepohl, Helmut, 1999. "Vector autoregressions," SFB 373 Discussion Papers 1999,4, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    9. Mira, Santiago, 1996. "Nonlinear cointegration and nonlinear error correction," DES - Working Papers. Statistics and Econometrics. WS 4546, Universidad Carlos III de Madrid. Departamento de Estadística.
    10. Noor Ghazali & Shamshubariah Ramlee, 2003. "A long memory test of the long-run Fisher effect in the G7 countries," Applied Financial Economics, Taylor & Francis Journals, vol. 13(10), pages 763-769.
    11. Lütkepohl, Helmut, 1999. "Vector autoregressive analysis," SFB 373 Discussion Papers 1999,31, Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes.
    12. Mira, Santiago, 1997. "Nonlinear cointegration with mixing errors," DES - Working Papers. Statistics and Econometrics. WS 6204, Universidad Carlos III de Madrid. Departamento de Estadística.
    13. 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.
    14. Aparicio, Felipe M. & García, Ana, 2000. "Syncronicity between macroeconomic time series: an exploratory analysis," DES - Working Papers. Statistics and Econometrics. WS 9922, Universidad Carlos III de Madrid. Departamento de Estadística.
    15. Denise Côté & Christopher Graham, 2004. "Convergence of Government Bond Yields in the Euro Zone: The Role of Policy Harmonization," Staff Working Papers 04-23, Bank of Canada.
    16. Li, Dao & He, Changli, 2012. "Testing for Linear Cointegration Against Smooth-Transition Cointegration," Working Papers 2012:6, Örebro University, School of Business.
    17. Alexander Schätz, 2010. "Macroeconomic Effects on Emerging Market Sector Indices," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 9(2), pages 131-169, August.
    18. Emma Iglesias & Garry Phillips, 2005. "Analysing one-month Euro-market interest rates by fractionally integrated models," Applied Financial Economics, Taylor & Francis Journals, vol. 15(2), pages 95-106.
    19. Pierre Perron & Zhongjun Qu, 2006. "An Analytical Evaluation of the Log-periodogram Estimate in the Presence of Level Shifts and its Implications for Stock Returns Volatility," Boston University - Department of Economics - Working Papers Series WP2006-016, Boston University - Department of Economics.
    20. Lee, Dongin & Schmidt, Peter, 1996. "On the power of the KPSS test of stationarity against fractionally-integrated alternatives," Journal of Econometrics, Elsevier, vol. 73(1), pages 285-302, July.

    More about this item

    Keywords

    Short-memoty;

    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:cte:wsrepe:6219. 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: Ana Poveda (email available below). General contact details of provider: http://portal.uc3m.es/portal/page/portal/dpto_estadistica .

    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.