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Globalization — Entropy unification through the Theil index

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  • Miśkiewicz, Janusz

Abstract

A time series is remapped onto an entropy concept, based on the Theil index. The Manhattan distance between these surrogate series is calculated, and contrasted to the usual correlation distance measure. The idea is applied to several Gross Domestic Product (relative increments) of rich countries. Such distances are calculated for various time window sizes. The role of time averaging in such finite size windows is discussed. We construct the locally minimum spanning tree (LMST) corresponding to the distance matrix. Another hierarchical network structure (Unidirectional Minimal Length Path) is compared with the LMST for confirming that the mean distance between the most developed countries on different networks actually decreases in time, — which we consider as a proof of economy globalization. It is stressed that this entropy distance measure seems more suitable in detecting some “phase transition” in time series, like a globalization process than the usual correlation based measure.

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  • Miśkiewicz, Janusz, 2008. "Globalization — Entropy unification through the Theil index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6595-6604.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:26:p:6595-6604
    DOI: 10.1016/j.physa.2008.08.007
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    References listed on IDEAS

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    1. J. Miśkiewicz & M. Ausloos, 2006. "G7 country Gross Domestic Product (GDP) time correlations. A graph network analysis," Springer Books, in: Hideki Takayasu (ed.), Practical Fruits of Econophysics, pages 312-316, Springer.
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    7. Takahiro Akita, 2003. "Decomposing regional income inequality in China and Indonesia using two-stage nested Theil decomposition method," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 37(1), pages 55-77, February.
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    Cited by:

    1. Clippe, Paulette & Ausloos, Marcel, 2012. "Benford’s law and Theil transform of financial data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(24), pages 6556-6567.
    2. Miśkiewicz, Janusz, 2010. "Entropy correlation distance method. The Euro introduction effect on the Consumer Price Index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1677-1687.

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