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Nonidentically distributed variables and nonlinear autocorrelation

Author

Listed:
  • Annibal Figueiredo

    (University of Brasilia)

  • Iram Gleria

    (Federal University of Alagoas)

  • Raul Matsushita

    (University of Brasilia)

  • Sergio Da Silva

    (Federal University of Santa Catarina)

Abstract

This paper considers independently distributed stochastic processes that are also nonidentically distributed. We find that an identically distributed process with autocorrelations can be obtained from an independent, yet nonidentically distributed, random generator. Our approach is illustrated with a time series from the British pound–US dollar rate.
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Suggested Citation

  • Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2005. "Nonidentically distributed variables and nonlinear autocorrelation," Finance 0508009, EconWPA.
  • Handle: RePEc:wpa:wuwpfi:0508009
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    References listed on IDEAS

    as
    1. Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2004. "Lévy flights, autocorrelation, and slow convergence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(3), pages 369-383.
    2. Annibal Figueiredo & Iram Gleria & Raul Matsushita & Sergio Da Silva, 2004. "On the origins of truncated Lévy flights," Finance 0404013, EconWPA.
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    Cited by:

    1. Figueiredo, Annibal & Gleria, Iram & Matsushita, Raul & Da Silva, Sergio, 2006. "The Levy sections theorem revisited," MPRA Paper 1983, University Library of Munich, Germany.
    2. Figueiredo, Annibal & Matsushita, Raul & Da Silva, Sergio & Serva, Maurizio & Viswanathan, Gandhi & Nascimento, Cesar & Gleria, Iram, 2007. "The Levy sections theorem: an application to econophysics," MPRA Paper 3810, University Library of Munich, Germany.
    3. Figueiredo, A. & Matsushita, R. & daSilva, S. & Serva, M. & Viswanathan, G.M. & Nascimento, C. & Gleria, Iram, 2007. "The Lévy sections theorem: An application to econophysics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 386(2), pages 756-759.
    4. Matsushita, Raul & Figueiredo, Annibal & Da Silva, Sergio, 2012. "A suggested statistical test for measuring bivariate nonlinear dependence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(20), pages 4891-4898.

    More about this item

    JEL classification:

    • G - Financial Economics

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