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Information-theoretic analysis of seral dependence and cointegration

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  • Escribano, Álvaro
  • Aparicio, Felipe M.

Abstract

This paper presents a wider characterization of memory in time series and of co integration in terms of information-theoretic statistics such as the entropy and the mutual information between pairs of variables. This suggests a new methodology for exploratory data analysis and for testing the hypothesis of long-memory and of the existence of a co integrating relationship. We illustrate the performances of the new techniques with some simulation experiments, and finally apply them to the analysis of the relationship between pairs of financial time series from a foreign exchangerate and a stock return markets.

Suggested Citation

  • Escribano, Álvaro & Aparicio, Felipe M., 1997. "Information-theoretic analysis of seral dependence and cointegration," DES - Working Papers. Statistics and Econometrics. WS 6208, Universidad Carlos III de Madrid. Departamento de Estadística.
  • Handle: RePEc:cte:wsrepe:6208
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    References listed on IDEAS

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    1. Mira, Santiago & Escribano, Álvaro, 1996. "Nonlinear cointegration and nonlinear error correction," DES - Working Papers. Statistics and Econometrics. WS 4546, Universidad Carlos III de Madrid. Departamento de Estadística.
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    Cited by:

    1. Papana, A. & Kyrtsou, K. & Kugiumtzis, D. & Diks, C.G.H., 2014. "Identifying causal relationships in case of non-stationary time series," CeNDEF Working Papers 14-09, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
    2. Escribano, Álvaro & 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.
    3. 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.
    4. Nikolaus A. Siegfried, 2002. "An information-theoretic extension to structural VAR modelling," Econometrics 0203005, University Library of Munich, Germany.
    5. Aparicio, Felipe M., 2003. "On the record properties of integrated time series," DES - Working Papers. Statistics and Econometrics. WS ws036414, Universidad Carlos III de Madrid. Departamento de Estadística.
    6. 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, University Library of Munich, Germany.
    7. Yoon, Gawon, 2010. "Do real exchange rates really follow threshold autoregressive or exponential smooth transition autoregressive models?," Economic Modelling, Elsevier, vol. 27(2), pages 605-612, March.
    8. Escribano, Álvaro & 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.

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    Keywords

    cointegration;

    Statistics

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