Wavelet filtering for prediction in time series analysis

  • Authors:
  • Tommaso Minerva

  • Affiliations:
  • Department of Social Sciences, University of Modena and Reggio Emilia, Reggio Emilia, Italy

  • Venue:
  • WAMUS'10 Proceedings of the 10th WSEAS international conference on Wavelet analysis and multirate systems
  • Year:
  • 2010

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Abstract

In this paper I describe a wavelet filtering approach to separate a time series, the signal, into its main components. With this approach I can separate stochastic from structural components. The statistical predictive analysis will be performed on the filtered signal while the stochastic term could be a-posteriori reintroduced through statistical simulation approaches (such as Markov Chain Monte Carlo). The proposed metodology has been applied to financial time series to predict both returns and risk.