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Information-Theoretic Analysis of Serial Dependence and Cointegration

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Author Info
F. Aparicio (Universidad Carlos III de Madrid)
A. Escribano (Universidad Carlos III de Madrid)

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Abstract

This paper is devoted to presenting wider characterizations of memory and cointegration in time series, in terms of information-theoretic statistics such as the entropy and the mutual information between pairs of variables. We suggest a nonparametric and nonlinear methodology for data analysis and for testing the hypotheses of long memory and the existence of a cointegrating relationship in a nonlinear context. This new framework represents a natural extension of the linear-memory concepts based on correlations. Finally, we show that our testing devices seem promising for exploratory analysis with nonlinearly cointegrated time series.

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Publisher Info
Article provided by Berkeley Electronic Press in its journal Studies in Nonlinear Dynamics & Econometrics.

Volume (Year): 3 (1998)
Issue (Month): 3 ()
Pages: 119-140
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Handle: RePEc:bep:sndecm:3:1998:3:119-140

Note: oai:bepress:snde-1044
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Related research
Keywords: information-theoretic statistics long memory cointegration nonlinearity

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Berg, Lennart & Lyhagen, Johan, 1996. "Short and Long Run Dependence in Swedish Stock Returns," Working Paper Series 1996:19, Uppsala University, Department of Economics.
    Other versions:
  2. Alvaro Escribano & Santiago Mira, 2001. "Nonlinear error correction models," Documentos de trabajo conjunto ULL-ULPGC 2001-03, Facultad de Ciencias Económicas de la ULPGC. [Downloadable!]
  3. Greene, Myron T. & Fielitz, Bruce D., 1977. "Long-term dependence in common stock returns," Journal of Financial Economics, Elsevier, vol. 4(3), pages 339-349, May. [Downloadable!] (restricted)
  4. F. M. Aparicio Acosta & Clive W.J. Granger, 1995. "Nonlinear Cointegration and Some New Tests for Comovements," University of California at San Diego, Economics Working Paper Series 95-15, Department of Economics, UC San Diego.
  5. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March. [Downloadable!] (restricted)
  6. James MacKinnon, 1990. "Critical Values for Cointegration Tests," University of California at San Diego, Economics Working Paper Series 90-4, Department of Economics, UC San Diego. [Downloadable!]
  7. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-45, August.
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  8. Baillie, Richard T & Myers, Robert J, 1991. "Bivariate GARCH Estimation of the Optimal Commodity Futures Hedge," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(2), pages 109-24, April-Jun. [Downloadable!] (restricted)
  9. Koop, Gary, 1994. "An objective Bayesian analysis of common stochastic trends in international stock prices and exchange rates," Journal of Empirical Finance, Elsevier, vol. 1(3-4), pages 343-364, July. [Downloadable!] (restricted)
  10. Baillie, Richard T & Bollerslev, Tim, 1989. " Common Stochastic Trends in a System of Exchange Rates," Journal of Finance, American Finance Association, vol. 44(1), pages 167-81, March. [Downloadable!] (restricted)
  11. Schotman, Peter & van Dijk, Herman K., 1991. "A Bayesian analysis of the unit root in real exchange rates," Journal of Econometrics, Elsevier, vol. 49(1-2), pages 195-238. [Downloadable!] (restricted)
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  12. Campbell, John Y & Shiller, Robert J, 1987. "Cointegration and Tests of Present Value Models," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 1062-88, October. [Downloadable!] (restricted)
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  13. Alvaro Escribano & Clive W.J. Granger, 1996. "Investigating the Relationship between Gold and Silver Prices," University of California at San Diego, Economics Working Paper Series 96-38, Department of Economics, UC San Diego. [Downloadable!]
  14. Taylor, Mark P & Tonks, Ian, 1989. "The Internationalisation of Stock Markets and the Abolition of U.K. Exchange Control," The Review of Economics and Statistics, MIT Press, vol. 71(2), pages 332-36, May. [Downloadable!] (restricted)
  15. Cerchi, Marlene & Havenner, Arthur, 1988. "Cointegration and stock prices : The random walk on wall street revisited," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 333-346. [Downloadable!] (restricted)
  16. DeJong, David N & Whiteman, Charles H, 1991. "The Temporal Stability of Dividends and Stock Prices: Evidence from the Likelihood Function," American Economic Review, American Economic Association, vol. 81(3), pages 600-617, June. [Downloadable!] (restricted)
Full references

Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Nikolaus A. Siegfried, 2002. "An information-theoretic extension to structural VAR modelling," Econometrics 0203005, EconWPA. [Downloadable!]
    Other versions:
  2. Cees Diks & Sebastiano Manzan, 2001. "Tests for Serial Independence and Linearity based on Correlation Integrals," Tinbergen Institute Discussion Papers 01-085/1, Tinbergen Institute. [Downloadable!]
    Other versions:
  3. Gilles DUFRENOT & Elisabeth GRIMAUD & Eug=E9nie LATIL & Val=E9rie MIGNON, 2003. "Real exhange rate misalignment in Hungary: a fractionally integrated=20 threshold model," Econometrics 0309001, EconWPA. [Downloadable!]
  4. Felipe M. Aparicio Acosta, 2003. "On The Record Properties Of Integrated Time Series," Statistics and Econometrics Working Papers ws036414, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
  5. G. Dufrenot & E. Grimaud & E. Latil & V. Mignon, 2003. "Real exchange rate misalignment in Hungary: a fractionally integrated threshold model," THEMA Working Papers 2003-07, THEMA (THéorie Economique, Modélisation et Applications), Université de Cergy-Pontoise. [Downloadable!]
  6. Felipe M. Aparicio & Alvaro Escribano, 2003. "Cointegration Tests Based On Record Counting Statistics," Statistics and Econometrics Working Papers ws036615, Universidad Carlos III, Departamento de Estadística y Econometría. [Downloadable!]
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