Use of Recurrence Quantification Analysis in Economic Time Series

  • Joseph P. Zbilut
Part of the New Economic Windows book series (NEW)


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  1. Creedy, J. and Martin, V.: 1994, Chaos and Non-Linear Models in Economics, Edward Elgar Publishing Limited.Google Scholar
  2. Ding, M., Grebogi, C., Ott, E., Sauer, T. and Yorke, J.: 1993, Estimating correlation dimension from a chaotic time series: When does plateau onset occur?, Physica D 69, 404–424.CrossRefADSMathSciNetGoogle Scholar
  3. Feller, W.: 1968, An Introduction to Probability Theory and its Applications. Vol. 1, Wiley.Google Scholar
  4. Fransen, P. and van Dijk, D.: 2000, Nonlinear Time Series Models in Empirical Finance, Cambridge University Press.Google Scholar
  5. Fraser, A. and Swinney, H.: 1986, Independent coordinates for strange attractors from mutual information, Physical Review A 33, 1134–1140.CrossRefADSPubMedMathSciNetGoogle Scholar
  6. Gandolfo, G.: 1996, Economic Dynamics, Springer-Verlag.Google Scholar
  7. Gao, J.: 1999, Recurrence time statistics for chaotic systems and their applications, Physical Review Letters 83, 3178–3181.ADSCrossRefGoogle Scholar
  8. Gao, J. and Cai, H.: 2000, On the structures and quantification of recurrence plots, Physics Letters A 270, 75–87.ADSCrossRefGoogle Scholar
  9. Giuliani, A., Sirabella, P., Benigni, R. and Colosimo, A.: 2000, Mapping protein sequence spaces by recurrence quantification analysis: a case study on chimeric sequences, Protein Engineering 13, 671–678.CrossRefPubMedGoogle Scholar
  10. Grassberger, P., Schreiber, T. and Schaffrath, C.: 1991, Non-linear time sequence analysis, International Journal of Bifurcation and Chaos 1, 521–547.MathSciNetCrossRefGoogle Scholar
  11. Holzfuss, J. and Mayer-Kress, G.: 1986, An approach to error estimation in the application of dimension algorithms, in M.-K. G. (ed.), Dimensions and Entropies in Chaotic Systems, Springer-Verlag.Google Scholar
  12. Ormerod, P.: 1998, Butterfly Economics, Pantheon Books.Google Scholar
  13. Rao, C. and Suryawanshi, S.: 1996, Statistical analysis of shape of objects based on landmark data, Proceedings of the National Academy of Sciences USA 93, 12132–12136.CrossRefADSGoogle Scholar
  14. Schreiber, T.: 1998, Interdisciplinary Application of Nonlinear Time Series Methods, Physics Reports 2.Google Scholar
  15. Trulla, L., Giuliani, A., Zbilut, J. and Webber, J.: 1996, Recurrence quantification analysis of the logistic equation with transients, Physics Letters A 223, 225–260.CrossRefADSMathSciNetGoogle Scholar
  16. Webber, J. C. and Zbilut, J.: 1994, Dynamical assessment of physiological systems and states using recurrence plot strategies, Journal of Applied Physiology 76, 965–973.PubMedGoogle Scholar
  17. Zak, M., Zbilut, J. and Meyers, R.: 1997, From Instability to Intelligence: Complexity and Predictability in Nonlinear Dynamics, Springer-Verlag.Google Scholar
  18. Zbilut, J., Giuliani, A. and Webber, J.: 1998a, Recurrence quantification analysis and principal components in the detection of short complex signals, Physics Letters A 237, 131–135.CrossRefADSGoogle Scholar
  19. Zbilut, J., Giuliani, A. and Webber, J.: 1998b, Detecting deterministic signals in exceptionally noisy enviroments using cross recurrence quantification, Physics Letters A 246, 122–128.CrossRefADSGoogle Scholar
  20. Zbilut, J., Giuliani, A. and Webber, J.: 2000, Recurrence quantification analysis as an empirical test to distinguish relatively short deterministic versus random number series, Physics Letters A 267, 174–178.CrossRefADSGoogle Scholar
  21. Zbilut, J., Hubler, A. and Webber, J.: 1996, Physiological singularities modeled by nondeterministic equations of motion and the effect of noise, in M. Millonais (ed.), Fluctuations and Order: The New Synthesis, Springer-Verlag, pp. 397–417.Google Scholar
  22. Zbilut, J., Koebbe, M. and Mayer-Kress, G.: 1992, Use of recurrence plots in the analysis of heart beat intervals, Proceedings Computers in Cardiology IEEE Computer Society pp. 263–266.Google Scholar
  23. Zbilut, J. and Webber, J. C.: 1992, Embeddings and delays as derived from quantification of recurrence plots, Physics Letters A 171, 199–203.CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag Italia 2005

Authors and Affiliations

  • Joseph P. Zbilut
    • 1
  1. 1.Rush Medical CollegeDepartment of Molecular Biophysics and PhysiologyUSA

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