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Wavelet transform based multifractal formalism in outlier detection and localisation for financial time series

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  • Struzik, Zbigniew R.
  • Siebes, Arno P.J.M.

Abstract

We present a method of detecting and localising outliers in financial time series and other stochastic processes. The method checks the internal consistency of the scaling behaviour of the process within the paradigm of the multifractal spectrum. Deviation from the expected spectrum is interpreted as the potential presence of outliers. The detection part of the method is then supplemented by the localisation analysis part, using the local scaling properties of the time series. Localised outliers can then be removed one by one, with the possibility of dynamic verification of spectral properties. Both the multifractal spectrum formalism and the local scaling properties of the time series are implemented on the wavelet transform modulus maxima tree.

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  • Struzik, Zbigniew R. & Siebes, Arno P.J.M., 2002. "Wavelet transform based multifractal formalism in outlier detection and localisation for financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 309(3), pages 388-402.
    • Handle: RePEc:eee:phsmap:v:309:y:2002:i:3:p:388-402
    DOI: 10.1016/S0378-4371(02)00552-6
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    References listed on IDEAS

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    1. Marc-Etienne Brachet & Erik Taflin & Jean Marcel Tcheou, 1999. "Scaling transformation and probability distributions for financial time series," Papers cond-mat/9905169, arXiv.org.
    2. A. Johansen & D. Sornette, 1998. "Stock market crashes are outliers," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 1(2), pages 141-143, January.
    3. Marc-Etienne BRACHET & Erik TAFLIN & Jean Marcel TCHEOU, 1999. "Scaling transformation and probability distributions for financial time series," GE, Growth, Math methods 9901003, University Library of Munich, Germany.
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