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Long-Time Fluctuations in a Dynamical Model of Stock Market Indices

Author

Listed:
  • Ofer Biham
  • Zhi-Feng Huang
  • Ofer Malcai
  • Sorin Solomon

Abstract

Financial time series typically exhibit strong fluctuations that cannot be described by a Gaussian distribution. In recent empirical studies of stock market indices it was examined whether the distribution P(r) of returns r(tau) after some time tau can be described by a (truncated) Levy-stable distribution L_{alpha}(r) with some index 0 2, namely beyond the range of Levy-stable distributions. Our results are in agreement with both empirical studies and reconcile the apparent disagreement between their results.

Suggested Citation

  • Ofer Biham & Zhi-Feng Huang & Ofer Malcai & Sorin Solomon, 2002. "Long-Time Fluctuations in a Dynamical Model of Stock Market Indices," Papers cond-mat/0208464, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0208464
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    Cited by:

    1. Feng Dai & Lin Liang, 2005. "The Advance in Partial Distribution£ºA New Mathematical Tool for Economic Management," Econometrics 0508001, University Library of Munich, Germany.
    2. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2001. "Microscopic Models of Financial Markets," Papers cond-mat/0110354, arXiv.org.
    3. Y. Malevergne & V. F. Pisarenko & D. Sornette, 2003. "Empirical Distributions of Log-Returns: between the Stretched Exponential and the Power Law?," Papers physics/0305089, arXiv.org.
    4. Feng Dai & Ling Liang, 2005. "The Advance in Partial Distribution: A New Mathematical Tool for Economic Management," EERI Research Paper Series EERI_RP_2005_04, Economics and Econometrics Research Institute (EERI), Brussels.
    5. G. Yaari & D. Stauffer & S. Solomon, 2008. "Intermittency and Localization," Papers 0802.3541, arXiv.org, revised Mar 2008.
    6. feng dai, 2004. "The Partial Distribution: Definition, Properties and Applications in Economy," Econometrics 0403008, University Library of Munich, Germany.
    7. E. Samanidou & E. Zschischang & D. Stauffer & T. Lux, 2007. "Agent-based Models of Financial Markets," Papers physics/0701140, arXiv.org.

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