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Detrended multiple cross-correlation coefficient with sliding windows approach

Author

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  • Guedes, E.F.
  • da Silva Filho, A.M.
  • Zebende, G.F.

Abstract

In this paper we implemented the detrended multiple cross-correlation coefficient with sliding windows approach in order to measure multiple cross-correlation between time series as a function of time scale n, and a sliding time τ. Faced with several non-stationary time series, a fixed size window will be defined by w, and the coefficients DMCx2 are calculated for different time scales (4≤n≤w4) and time τ. Following this methodology, it was possible to set up a DMCx2 cross-correlation color map for a simulated (random) and an empirical case. This new color map with sliding windows shows the time scale and the current day for a cross-correlation analysis. In this way, it is possible to analyze the multiple cross-correlation between three or more variables in different areas of knowledge, such as economics and finance.

Suggested Citation

  • Guedes, E.F. & da Silva Filho, A.M. & Zebende, G.F., 2021. "Detrended multiple cross-correlation coefficient with sliding windows approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 574(C).
    • Handle: RePEc:eee:phsmap:v:574:y:2021:i:c:s0378437121002624
    DOI: 10.1016/j.physa.2021.125990
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    References listed on IDEAS

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    1. Zebende, G.F. & da Silva Filho, A.M., 2018. "Detrended Multiple Cross-Correlation Coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 91-97.
    2. Guedes, E.F. & Ferreira, Paulo & Dionísio, Andreia & Zebende, G.F., 2019. "An econophysics approach to study the effect of BREXIT referendum on European Union stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 1175-1182.
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    15. da Silva Filho, A.M. & Zebende, G.F. & de Castro, A.P.N. & Guedes, E.F., 2021. "Statistical test for Multiple Detrended Cross-Correlation Coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 562(C).
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    18. Ferreira, Paulo & Dionísio, Andreia & Guedes, Everaldo Freitas & Zebende, Gilney Figueira, 2018. "A sliding windows approach to analyse the evolution of bank shares in the European Union," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1355-1367.
    19. Mitra, Subrata Kumar & Bhatia, Vaneet & Jana, R.K. & Charan, Parikshit & Chattopadhyay, Manojit, 2018. "Changing value detrended cross correlation coefficient over time: Between crude oil and crop prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 506(C), pages 671-678.
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    Cited by:

    1. Inacio, C.M.C. & Kristoufek, L. & David, S.A., 2023. "Assessing the impact of the Russia–Ukraine war on energy prices: A dynamic cross-correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    2. Cao, Guangxi & Xie, Wenhao, 2022. "Detrended multiple moving average cross-correlation analysis and its application in the correlation measurement of stock market in Shanghai, Shenzhen, and Hong Kong," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 590(C).
    3. Santos, E.C.O. & Guedes, E.F. & Zebende, G.F. & da Silva Filho, A.M., 2022. "Autocorrelation of wind speed: A sliding window approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).

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