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Analysis of intermittence, scale invariance and characteristic scales in the behavior of major indices near a crash

Author

Listed:
  • Ferraro, Marta
  • Furman, Nicolas
  • Liu, Yang
  • Mariani, Cristina
  • Rial, Diego

Abstract

This work is devoted to the study of the relation between intermittence and scale invariance. We find the conditions that a function in which both effects are present must satisfy, and we analyze the relation with characteristic scales. We present an efficient method that detects characteristic scales in different systems. Finally we develop a model that predicts the existence of intermittence and characteristic scales in the behavior of a financial index near a crash, and we apply the model to the analysis of several financial indices.

Suggested Citation

  • Ferraro, Marta & Furman, Nicolas & Liu, Yang & Mariani, Cristina & Rial, Diego, 2006. "Analysis of intermittence, scale invariance and characteristic scales in the behavior of major indices near a crash," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 359(C), pages 576-588.
    • Handle: RePEc:eee:phsmap:v:359:y:2006:i:c:p:576-588
    DOI: 10.1016/j.physa.2005.04.034
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    References listed on IDEAS

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    1. Mantegna,Rosario N. & Stanley,H. Eugene, 2007. "Introduction to Econophysics," Cambridge Books, Cambridge University Press, number 9780521039871, September.
    2. M. G. Figueroa & M. C. Mariani & M. B. Ferraro, 2003. "The Effects of the Asian Crisis of 1997 on Emergent Markets Through a Critical Phenomena Model," International Journal of Theoretical and Applied Finance (IJTAF), World Scientific Publishing Co. Pte. Ltd., vol. 6(06), pages 605-612.
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    Cited by:

    1. Mariani, Maria Cristina & Liu, Yang, 2006. "A new analysis of intermittence, scale invariance and characteristic scales applied to the behavior of financial indices near a crash," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 367(C), pages 345-352.
    2. Maria Pia Beccar Varela & Francis Biney & Ionut Florescu, 2015. "Long correlations and fractional difference analysis applied to the study of memory effects in high-frequency (tick) data," Quantitative Finance, Taylor & Francis Journals, vol. 15(8), pages 1365-1374, August.
    3. Mariani, M.C. & Florescu, I. & Beccar Varela, M.P. & Ncheuguim, E., 2010. "Study of memory effects in international market indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1653-1664.
    4. Mariani, M.C. & Florescu, I. & SenGupta, I. & Beccar Varela, M.P. & Bezdek, P. & Serpa, L., 2013. "Lévy models and scale invariance properties applied to Geophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(4), pages 824-839.
    5. Habtemicael, Semere & SenGupta, Indranil, 2014. "Ornstein–Uhlenbeck processes for geophysical data analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 399(C), pages 147-156.
    6. Mariani, M.C. & Liu, Y., 2007. "Normalized truncated Levy walks applied to the study of financial indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 377(2), pages 590-598.

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