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Information-Theoretic Analysis of Serial Dependence and Cointegration

Author

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  • Aparicio F. M.

    (Universidad Carlos III de Madrid)

  • Escribano A.

    (Universidad Carlos III de Madrid)

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.

Suggested Citation

  • 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.
    • Handle: RePEc:bpj:sndecm:v:3:y:1998:i:3:n:1
    DOI: 10.2202/1558-3708.1044
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    References listed on IDEAS

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    1. Escribano, Álvaro & 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.
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    Cited by:

    1. Angeliki Papana & Catherine Kyrtsou & Dimitris Kugiumtzis & Cees Diks, 2023. "Identification of causal relationships in non-stationary time series with an information measure: Evidence for simulated and financial data," Empirical Economics, Springer, vol. 64(3), pages 1399-1420, March.
    2. 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.
    3. Cees Diks & Sebastiano Manzan, 2001. "Tests for Serial Independence and Linearity based on Correlation Integrals," Tinbergen Institute Discussion Papers 01-085/1, Tinbergen Institute.
    4. Aparicio, Felipe M. & Escribano, Álvaro, 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.
    5. Diks Cees & Manzan Sebastiano, 2002. "Tests for Serial Independence and Linearity Based on Correlation Integrals," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 6(2), pages 1-22, July.
    6. Nikolaus A. Siegfried, 2002. "An information-theoretic extension to structural VAR modelling," Quantitative Macroeconomics Working Papers 20203, Hamburg University, Department of Economics.
    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. Dilip M. Nachane, 2011. "Selected Problems in the Analysis of Nonstationary & Nonlinear Time Series," Journal of Quantitative Economics, The Indian Econometric Society, vol. 9(1), pages 1-17.
    9. Aparicio, Felipe M. & Escribano, Álvaro, 2003. "Cointegration tests based on record counting statistics," DES - Working Papers. Statistics and Econometrics. WS ws036615, Universidad Carlos III de Madrid. Departamento de Estadística.
    10. 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.
    11. 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.
    12. 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.

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