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

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  • Darbellay, Georges A
  • Wuertz, Diethelm
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    Abstract

    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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    Bibliographic Info

    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

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    Web page: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/

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    Cited by:
    1. Zunino, Luciano & Zanin, Massimiliano & Tabak, Benjamin M. & Pérez, Darío G. & Rosso, Osvaldo A., 2010. "Complexity-entropy causality plane: A useful approach to quantify the stock market inefficiency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(9), pages 1891-1901.
    2. Andreia Dionisio & Rui Menezes & Diana A. Mendes, 2003. "Mutual information: a dependence measure for nonlinear time series," Econometrics 0311003, EconWPA.
    3. Zunino, Luciano & Zanin, Massimiliano & Tabak, Benjamin M. & Pérez, Darío G. & Rosso, Osvaldo A., 2009. "Forbidden patterns, permutation entropy and stock market inefficiency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(14), pages 2854-2864.
    4. Alvarez-Ramirez, Jose & Rodriguez, Eduardo & Espinosa-Paredes, Gilberto, 2012. "Is the US stock market becoming weakly efficient over time? Evidence from 80-year-long data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(22), pages 5643-5647.
    5. N. Mondal & V. Singh & S. Ahmed, 2012. "Entropy-Based Approach for Assessing Natural Recharge in Unconfined Aquifers from Southern India," Water Resources Management, Springer, vol. 26(9), pages 2715-2732, July.
    6. Martina, Esteban & Rodriguez, Eduardo & Escarela-Perez, Rafael & Alvarez-Ramirez, Jose, 2011. "Multiscale entropy analysis of crude oil price dynamics," Energy Economics, Elsevier, vol. 33(5), pages 936-947, September.
    7. Matesanz, David & Ortega, Guillermo J., 2008. "Network analysis of exchange data: Interdependence drives crisis contagion," MPRA Paper 7720, University Library of Munich, Germany.
    8. Zapart, Christopher A., 2009. "On entropy, financial markets and minority games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(7), pages 1157-1172.
    9. Menezes, Rui & Dionísio, Andreia & Hassani, Hossein, 2012. "On the globalization of stock markets: An application of Vector Error Correction Model, Mutual Information and Singular Spectrum Analysis to the G7 countries," The Quarterly Review of Economics and Finance, Elsevier, vol. 52(4), pages 369-384.

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