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A Hybrid Joint Moment Ratio Test for Financial Time Series

Author

Listed:
  • Patrick A. Groenendijk

    (Vrije Universiteit Amsterdam)

  • André Lucas

    (Vrije Universiteit Amsterdam)

  • Casper G. de Vries

    (Erasmus University Rotterdam)

Abstract

We advocate the use of absolute moment ratio statistics in conjunctionwith standard variance ratio statistics in order to disentangle lineardependence, non-linear dependence, and leptokurtosis in financial timeseries. Both statistics are computed for multiple return horizonssimultaneously, and the results are presented in a comprehensive wayusing a graphical device. We construct a formal joint testing procedurebased on bootstrapped and block-bootstrapped uniform confidenceintervals. The methodology is hybrid because it combines a formaltesting procedure with volatility curve pattern recognition based onexpert opinions. An application to forex data illustrates theprocedure.

Suggested Citation

  • Patrick A. Groenendijk & André Lucas & Casper G. de Vries, 1998. "A Hybrid Joint Moment Ratio Test for Financial Time Series," Tinbergen Institute Discussion Papers 98-104/2, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:19980104
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    References listed on IDEAS

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    Cited by:

    1. T. Di Matteo & T. Aste & M. M. Dacorogna, 2003. "Using the Scaling Analysis to Characterize Financial Markets," Papers cond-mat/0302434, arXiv.org.
    2. Miguel Ángel Sánchez & Juan E Trinidad & José García & Manuel Fernández, 2015. "The Effect of the Underlying Distribution in Hurst Exponent Estimation," PLOS ONE, Public Library of Science, vol. 10(5), pages 1-17, May.
    3. Matteo, T. Di & Aste, T. & Dacorogna, Michel M., 2005. "Long-term memories of developed and emerging markets: Using the scaling analysis to characterize their stage of development," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 827-851, April.
    4. Faheem Aslam & Paulo Ferreira & Haider Ali & Sumera Kauser, 2022. "Herding behavior during the Covid-19 pandemic: a comparison between Asian and European stock markets based on intraday multifractality," Eurasian Economic Review, Springer;Eurasia Business and Economics Society, vol. 12(2), pages 333-359, June.
    5. Raffaello Morales & T. Di Matteo & Ruggero Gramatica & Tomaso Aste, 2011. "Dynamical Hurst exponent as a tool to monitor unstable periods in financial time series," Papers 1109.0465, arXiv.org.
    6. T. Di Matteo, 2007. "Multi-scaling in finance," Quantitative Finance, Taylor & Francis Journals, vol. 7(1), pages 21-36.
    7. Danielsson, Jon & Zigrand, Jean-Pierre, 2006. "On time-scaling of risk and the square-root-of-time rule," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2701-2713, October.

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