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Entropy correlation distance method. The Euro introduction effect on the Consumer Price Index

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  • Miśkiewicz, Janusz

Abstract

The idea of entropy was introduced in thermodynamics, but it can be used in time series analysis. There are various ways to define and measure the entropy of a system. Here the so called Theil index, which is often used in economy and finance, is applied as it were an entropy measure. In this study the time series are remapped through the Theil index. Then the linear correlation coefficient between the remapped time series is evaluated as a function of time and time window size and the corresponding statistical distance is defined. The results are compared with the the usual correlation distance measure for the time series themselves. As an example this entropy correlation distance method (ECDM) is applied to several series, as those of the Consumer Price Index (CPI) in order to test some so called globalisation processes. Distance matrices are calculated in order to construct two network structures which are next analysed. The role of two different time scales introduced by the Theil index and a correlation coefficient is also discussed. The evolution of the mean distance between the most developed countries is presented and the globalisation periods of the prices discussed. It is finally shown that the evolution of mean distance between the most developed countries on several networks follows the process of introducing the European currency — the Euro. It is contrasted to the GDP based analysis. It is stressed that the entropy correlation distance measure is more suitable in detecting significant changes, like a globalisation process than the usual statistical (correlation based) measure.

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  • 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.
    • Handle: RePEc:eee:phsmap:v:389:y:2010:i:8:p:1677-1687
    DOI: 10.1016/j.physa.2009.12.031
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    References listed on IDEAS

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    1. Brent R. Moulton, 1996. "Bias in the Consumer Price Index: What Is the Evidence?," Journal of Economic Perspectives, American Economic Association, vol. 10(4), pages 159-177, Fall.
    2. Robert J. Hill, 2004. "Constructing Price Indexes across Space and Time: The Case of the European Union," American Economic Review, American Economic Association, vol. 94(5), pages 1379-1410, December.
    3. Dougherty, Ann & Van Order, Robert, 1982. "Inflation, Housing Costs, and the Consumer Price Index," American Economic Review, American Economic Association, vol. 72(1), pages 154-164, March.
    4. Choudhri, Ehsan U. & Faruqee, Hamid & Hakura, Dalia S., 2005. "Explaining the exchange rate pass-through in different prices," Journal of International Economics, Elsevier, vol. 65(2), pages 349-374, March.
    5. Michael J. Boskin, 1998. "Consumer Prices, the Consumer Price Index, and the Cost of Living," Journal of Economic Perspectives, American Economic Association, vol. 12(1), pages 3-26, Winter.
    6. Shorrocks, A F, 1980. "The Class of Additively Decomposable Inequality Measures," Econometrica, Econometric Society, vol. 48(3), pages 613-625, April.
    7. A. P. Lerner, 1935. "A Note on the Theory of Price Index Numbers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 3(1), pages 50-56.
    8. Pedro Conceicao & James K. Galbraith & Peter Bradford, 2001. "The Theil Index in Sequences of Nested and Hierarchic Grouping Structures: Implications for the Measurement of Inequality through Time, with Data Aggregated at Different Levels of Industrial Classific," Eastern Economic Journal, Eastern Economic Association, vol. 27(4), pages 491-514, Fall.
    9. Miśkiewicz, Janusz, 2008. "Globalization — Entropy unification through the Theil index," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6595-6604.
    10. 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.
    11. Rogers, John H., 2007. "Monetary union, price level convergence, and inflation: How close is Europe to the USA?," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 785-796, April.
    12. Miśkiewicz, Janusz & Ausloos, Marcel, 2008. "Correlation measure to detect time series distances, whence economy globalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6584-6594.
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    1. Salois, Matthew J., 2013. "Regional changes in the distribution of foreign aid: An entropy approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(13), pages 2893-2902.

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