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Is the expression H=1/(3-q) valid for real financial data?

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  • Cajueiro, Daniel O.
  • Tabak, Benjamin M.

Abstract

Non-extensive thermodynamics is one of the most intriguing physics new frontiers. A large number of researchers have been successfully finding connections between the new concepts introduced by this new field and other complex systems already presented. In particular, Borland [Phys. Rev. E 57 (1998) 6634–6642] has introduced a very interesting relation between the entropic index q that arises in the non-extensive entropy and the well-known Hurst exponent H used to measure long-range dependence in complex systems. In this paper, we provide statistical support to Borland results and test the validity of these results in real financial data.

Suggested Citation

  • Cajueiro, Daniel O. & Tabak, Benjamin M., 2007. "Is the expression H=1/(3-q) valid for real financial data?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 593-602.
    • Handle: RePEc:eee:phsmap:v:373:y:2007:i:c:p:593-602
    DOI: 10.1016/j.physa.2006.05.054
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    References listed on IDEAS

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    1. Grech, D & Mazur, Z, 2004. "Can one make any crash prediction in finance using the local Hurst exponent idea?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(1), pages 133-145.
    2. Cajueiro, Daniel O., 2006. "A note on the relevance of the q-exponential function in the context of intertemporal choices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 385-388.
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    4. Cajueiro, Daniel O. & Tabak, Benjamin M., 2005. "The rescaled variance statistic and the determination of the Hurst exponent," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 70(3), pages 172-179.
    5. P. Mattedi, Adriana & M. Ramos, Fernando & Rosa, Reinaldo R. & Mantegna, Rosario N., 2004. "Value-at-risk and Tsallis statistics: risk analysis of the aerospace sector," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(3), pages 554-561.
    6. Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus & Teyssiere, Gilles, 2003. "Rescaled variance and related tests for long memory in volatility and levels," Journal of Econometrics, Elsevier, vol. 112(2), pages 265-294, February.
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    Cited by:

    1. Mulligan, Robert F., 2017. "The multifractal character of capacity utilization over the business cycle: An application of Hurst signature analysis," The Quarterly Review of Economics and Finance, Elsevier, vol. 63(C), pages 147-152.
    2. Pakrashi, Vikram & Kelly, Joe & Harkin, Julie & Farrell, Aidan, 2013. "Hurst exponent footprints from activities on a large structural system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1803-1817.
    3. Mulligan, Robert F., 2014. "Multifractality of sectoral price indices: Hurst signature analysis of Cantillon effects in disequilibrium factor markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 403(C), pages 252-264.

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