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Long correlations and truncated Levy walks applied to the study Latin-American market indices

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  • Jaroszewicz, Sebastian
  • Mariani, M. Cristina
  • Ferraro, Marta

Abstract

This work is devoted to the study of long correlations and other statistical properties of Latin-American market indices. We concluded that the behavior of the return is compatible with a slow convergence to a Gaussian distribution. We also detected long-range correlations in the absolute value of the return analyzing the effects of working with short data series. This fact has relevant consequences in the volatility dynamics.

Suggested Citation

  • Jaroszewicz, Sebastian & Mariani, M. Cristina & Ferraro, Marta, 2005. "Long correlations and truncated Levy walks applied to the study Latin-American market indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(2), pages 461-474.
    • Handle: RePEc:eee:phsmap:v:355:y:2005:i:2:p:461-474
    DOI: 10.1016/j.physa.2005.04.003
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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, October.
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    Cited by:

    1. Kang, Sang Hoon & Yoon, Seong-Min, 2008. "Long memory features in the high frequency data of the Korean stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(21), pages 5189-5196.
    2. Tilfani, Oussama & Kristoufek, Ladislav & Ferreira, Paulo & El Boukfaoui, My Youssef, 2022. "Heterogeneity in economic relationships: Scale dependence through the multivariate fractal regression," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 588(C).
    3. Ferreira, Paulo & Loures, Luís & Nunes, José Rato & Dionísio, Andreia, 2017. "The behaviour of share returns of football clubs: An econophysics approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 472(C), pages 136-144.
    4. 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.
    5. Mariani, M.C. & Libbin, J.D. & Kumar Mani, V. & Beccar Varela, M.P. & Erickson, C.A. & Valles-Rosales, D.J., 2008. "Long correlations and Normalized Truncated Levy Models applied to the study of Indian Market Indices in comparison with other emerging markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(5), pages 1273-1282.
    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.
    7. Ferreira, Paulo & Dionísio, Andreia & Correia, José, 2018. "Non-linear dependencies in African stock markets: Was subprime crisis an important factor?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 680-687.
    8. Paulo Ferreira, 2012. "Testing serial dependence in the stock markets of the G7 countries, Portugal, Spain and Greece," CEFAGE-UE Working Papers 2012_24, University of Evora, CEFAGE-UE (Portugal).

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