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Effective multifractal features of high-frequency price fluctuations time series and ℓ-variability diagrams

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  • de Souza, Jeferson
  • Duarte Queirós, Sílvio M.

Abstract

In this manuscript we present a comprehensive study on the multifractal properties of high-frequency price fluctuations and instantaneous volatility of the equities that compose the Dow Jones Industrial Average. The analysis consists about the quantification of the influence of dependence and non-Gaussianity on the multifractal character of financial quantities. Our results point out an equivalent importance of dependence and non-Gaussianity on the multifractality of time series. Moreover, we analyse ℓ-diagrams of price fluctuations. In the latter case, we show that the fractal dimension of these maps is basically independent of the lag between price fluctuations that we assume.

Suggested Citation

  • de Souza, Jeferson & Duarte Queirós, Sílvio M., 2009. "Effective multifractal features of high-frequency price fluctuations time series and ℓ-variability diagrams," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2512-2521.
    • Handle: RePEc:eee:chsofr:v:42:y:2009:i:4:p:2512-2521
    DOI: 10.1016/j.chaos.2009.03.198
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    3. Yang, Yan-Hong & Xie, Wen-Jie & Li, Ming-Xia & Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2017. "Statistical properties of user activity fluctuations in virtual worlds," Chaos, Solitons & Fractals, Elsevier, vol. 105(C), pages 271-278.
    4. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.

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