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Intra-day variability of the stock market activity versus stationarity of the financial time series

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  • T. Gubiec
  • M. Wili'nski

Abstract

We describe the impact of the intra-day activity pattern on the autocorrelation function estimator. We obtain an exact formula relating estimators of the autocorrelation functions of non-stationary process to its stationary counterpart. Hence, we proved that the day seasonality of inter-transaction times extends the memory of as well the process itself as its absolute value. That is, both processes relaxation to zero is longer.

Suggested Citation

  • T. Gubiec & M. Wili'nski, 2014. "Intra-day variability of the stock market activity versus stationarity of the financial time series," Papers 1408.6255, arXiv.org.
  • Handle: RePEc:arx:papers:1408.6255
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    File URL: http://arxiv.org/pdf/1408.6255
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