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Can Markov switching model generate long memory?

Author

Listed:
  • Baek, Changryong
  • Fortuna, Natércia
  • Pipiras, Vladas

Abstract

In an influential work by Diebold and Inoue (2001), the Markov switching model was shown to exhibit long memory, in terms of the behavior of the second moments of partial sums. The relationship between the Markov switching model and long memory is reexamined here. Common estimators of the long memory parameter are found to be extremely biased when applied to the data generated by the Markov switching model. An explanation for these findings is provided.

Suggested Citation

  • Baek, Changryong & Fortuna, Natércia & Pipiras, Vladas, 2014. "Can Markov switching model generate long memory?," Economics Letters, Elsevier, vol. 124(1), pages 117-121.
    • Handle: RePEc:eee:ecolet:v:124:y:2014:i:1:p:117-121
    DOI: 10.1016/j.econlet.2014.04.030
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    References listed on IDEAS

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    1. Fabrizio Iacone, 2010. "Local Whittle estimation of the memory parameter in presence of deterministic components," Journal of Time Series Analysis, Wiley Blackwell, vol. 31(1), pages 37-49, January.
    2. Granger, C. W. J., 1980. "Long memory relationships and the aggregation of dynamic models," Journal of Econometrics, Elsevier, vol. 14(2), pages 227-238, October.
    3. Smith, Aaron, 2005. "Level Shifts and the Illusion of Long Memory in Economic Time Series," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 321-335, July.
    4. Diebold, Francis X. & Inoue, Atsushi, 2001. "Long memory and regime switching," Journal of Econometrics, Elsevier, vol. 105(1), pages 131-159, November.
    5. Changryong Baek & Vladas Pipiras, 2012. "Statistical tests for a single change in mean against long‐range dependence," Journal of Time Series Analysis, Wiley Blackwell, vol. 33(1), pages 131-151, January.
    6. Wei-Choun Yu, 2009. "Markov switching and long memory: a Monte Carlo analysis," Applied Economics Letters, Taylor & Francis Journals, vol. 16(12), pages 1205-1210.
    7. Mccloskey, Adam & Perron, Pierre, 2013. "Memory Parameter Estimation In The Presence Of Level Shifts And Deterministic Trends," Econometric Theory, Cambridge University Press, vol. 29(6), pages 1196-1237, December.
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    More about this item

    Keywords

    Markov switching model; Long memory; Changes in mean;
    All these keywords.

    JEL classification:

    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C50 - Mathematical and Quantitative Methods - - Econometric Modeling - - - General

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