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The entropy as a tool for analysing statistical dependences in financial time series

  • Darbellay, Georges A
  • Wuertz, Diethelm
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    The entropy is a concept which may serve to define quantities such as the conditional entropy and the mutual information. Using a novel algorithm for the estimation of the mutual information from data, we analyse several financial time series and demonstrate the usefulness of this new approach. The issues of long-range dependence and non-stationarity are discussed.

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    Article provided by Elsevier in its journal Physica A: Statistical Mechanics and its Applications.

    Volume (Year): 287 (2000)
    Issue (Month): 3 ()
    Pages: 429-439

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    Handle: RePEc:eee:phsmap:v:287:y:2000:i:3:p:429-439
    DOI: 10.1016/S0378-4371(00)00382-4
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    1. Dacorogna, Michael M. & Muller, Ulrich A. & Nagler, Robert J. & Olsen, Richard B. & Pictet, Olivier V., 1993. "A geographical model for the daily and weekly seasonal volatility in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 12(4), pages 413-438, August.
    2. Yanhui Liu & Pierre Cizeau & Martin Meyer & Chung-Kang Peng & H. Eugene Stanley, 1997. "Correlations in Economic Time Series," Papers cond-mat/9706021,
    3. Liu, Yanhui & Cizeau, Pierre & Meyer, Martin & Peng, C.-K. & Eugene Stanley, H., 1997. "Correlations in economic time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 437-440.
    4. Galluccio, S. & Caldarelli, G. & Marsili, M. & Zhang, Y.-C., 1997. "Scaling in currency exchange," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 423-436.
    5. Darbellay, Georges A., 1999. "An estimator of the mutual information based on a criterion for conditional independence," Computational Statistics & Data Analysis, Elsevier, vol. 32(1), pages 1-17, November.
    6. Ding, Zhuanxin & Granger, Clive W. J. & Engle, Robert F., 1993. "A long memory property of stock market returns and a new model," Journal of Empirical Finance, Elsevier, vol. 1(1), pages 83-106, June.
    7. J. Doyne Farmer, 1999. "Physicists Attempt to Scale the Ivory Towers of Finance," Working Papers 99-10-073, Santa Fe Institute.
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