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Procesy s dlouhou pamětí a jejich vývoj ve výnosech indexu PX v letech 1999 – 2009
[Long-term memory and its evolution in returns of PX between 1999 and 2009]


  • Kristoufek, Ladislav


Long-term memory processes have been extensively examined in recent literature as they provide simple way to test for predictability in the underlying process. However, most of the literature interprets the results of estimated Hurst exponent simply by its comparison to its asymptotic limit of 0.5. Therefore, we present results of Monte Carlo simulations for rescaled range, modified rescaled range and detrended fluctuation analysis based on chosen scales taken into consideration. The results of simulations show that even independent process can show Hurst exponent far from 0.5. In our analysis of evolution of Hurst exponent between 1999 and 2009, we show that Czech PX experienced persistent behavior which weakened in time. Nevertheless, the returns of PX remain close to confidence interval separating independent and persistent behavior.

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  • Kristoufek, Ladislav, 2009. "Procesy s dlouhou pamětí a jejich vývoj ve výnosech indexu PX v letech 1999 – 2009
    [Long-term memory and its evolution in returns of PX between 1999 and 2009]
    ," MPRA Paper 16435, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:16435

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    References listed on IDEAS

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    13. McKenzie, Michael D, 2001. "Non-periodic Australian Stock Market Cycles: Evidence from Rescaled Range Analysis," The Economic Record, The Economic Society of Australia, vol. 77(239), pages 393-406, December.
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    More about this item


    Hurst exponent; long-range dependence; time series analysis; persistence; rescaled range; detrended fluctuation analysis;

    JEL classification:

    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)


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