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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]

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  • Kristoufek, Ladislav

Abstract

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.

Suggested Citation

  • 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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    More about this item

    Keywords

    Hurst exponent; long-range dependence; time series analysis; persistence; rescaled range; detrended fluctuation analysis;
    All these keywords.

    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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