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The impact of estimation methods and data frequency on the results of long memory assessment

Author

Listed:
  • Krzysztof Brania

    (Jagiellonian University in Cracow, Faculty of Mathematics and Computer Science)

  • Henryk Gurgul

    (AGH University of Science and Technology, Faculty of Management, Department of Application of Mathematics in Economics)

Abstract

The main goal of this paper is to examine the effects of selected methods of estimation (the Geweke and Porter-Hudak, modified Geweke and Porter-Hudak, Whittle, R/S Rescaled Range Statistic, aggregated variance, aggregated absolute value, and Peng’s variance of residuals methods) and data frequency on properties of Hurst exponents for stock returns, volatility, and trading volumes of 43 companies and eight stock market indices. The calculations have been performed for a time series of log-returns, squared log-returns, and log-volume (based on hourly and daily data) by nine methods. Descriptive statistics and distribution laws of Hurst exponents depend on the method of estimation and, to some extent, on data frequency (daily and hourly). While by and large in log-returns no long memory has been detected, some estimation methods confirm the existence of long memory in squared log-returns. All of the applied estimation methods show long memory in log-volume data.

Suggested Citation

  • Krzysztof Brania & Henryk Gurgul, 2015. "The impact of estimation methods and data frequency on the results of long memory assessment," Managerial Economics, AGH University of Science and Technology, Faculty of Management, vol. 16(1), pages 7-37.
    • Handle: RePEc:agh:journl:v:16:y:2015:i:1:p:7-37
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