IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v545y2020ics0378437119319399.html
   My bibliography  Save this article

DCCA cross-correlation analysis in time-series with removed parts

Author

Listed:
  • Zebende, G.F.
  • Brito, A.A.
  • Castro, A.P.

Abstract

In this paper we analyze the effect of removing pieces in time-series with long range-memory by DFA method and detrended cross-correlation coefficient. To achieve this purpose, initially simulated time-series are produced by ARFIMA process (long time dependence). From these simulated time-series cuts and removals are produced. The results show that for up to 50% of removed parts, compared to the original time-series, there is no change in the final results for detrended auto and cross-correlations. Therefore, with this paper we show that the DFA method and the detrended cross-correlation coefficient are robust for time-series analysis even for time-series with removed parts. This result ensures that these methods can be applied to real time-series, which in many cases lacks measurement for a variety of reasons and causes.

Suggested Citation

  • Zebende, G.F. & Brito, A.A. & Castro, A.P., 2020. "DCCA cross-correlation analysis in time-series with removed parts," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319399
    DOI: 10.1016/j.physa.2019.123472
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437119319399
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2019.123472?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    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. Bashir, Usman & Zebende, Gilney Figueira & Yu, Yugang & Hussain, Muntazir & Ali, Ahmed & Abbas, Ghulam, 2019. "Differential market reactions to pre and post Brexit referendum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 151-158.
    3. Bashir, Usman & Yu, Yugang & Hussain, Muntazir & Zebende, Gilney F., 2016. "Do foreign exchange and equity markets co-move in Latin American region? Detrended cross-correlation approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 889-897.
    4. da Silva, L.S. Almeida & Guedes, E.F. & Ferreira, Paulo & Dionísio, Andreia & Zebende, G.F., 2019. "ρx,y between open-close stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    5. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    6. Hussain, Muntazir & Zebende, Gilney Figueira & Bashir, Usman & Donghong, Ding, 2017. "Oil price and exchange rate co-movements in Asian countries: Detrended cross-correlation approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 338-346.
    7. Marinho, E.B.S. & Sousa, A.M.Y.R. & Andrade, R.F.S., 2013. "Using Detrended Cross-Correlation Analysis in geophysical data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(9), pages 2195-2201.
    8. Guedes, E.F. & Zebende, G.F., 2019. "DCCA cross-correlation coefficient with sliding windows approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 527(C).
    9. Guedes, E.F. & Brito, A.A. & Oliveira Filho, F.M. & Fernandez, B.F. & de Castro, A.P.N. & da Silva Filho, A.M. & Zebende, G.F., 2018. "Statistical test for ΔρDCCA cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 134-140.
    10. Jin, Xiaoye, 2017. "Time-varying return-volatility relation in international stock markets," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 157-173.
    11. Wang, Gang-Jin & Xie, Chi & Chen, Shou & Yang, Jiao-Jiao & Yang, Ming-Yan, 2013. "Random matrix theory analysis of cross-correlations in the US stock market: Evidence from Pearson’s correlation coefficient and detrended cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(17), pages 3715-3730.
    12. Zebende, G.F. & da Silva, M.F. & Machado Filho, A., 2013. "DCCA cross-correlation coefficient differentiation: Theoretical and practical approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(8), pages 1756-1761.
    13. Zebende, G.F. & da Silva, P.A. & Machado Filho, A., 2011. "Study of cross-correlation in a self-affine time series of taxi accidents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(9), pages 1677-1683.
    14. Zebende, G.F., 2011. "DCCA cross-correlation coefficient: Quantifying level of cross-correlation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(4), pages 614-618.
    15. Vassoler, R.T. & Zebende, G.F., 2012. "DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(7), pages 2438-2443.
    16. Zebende, G.F. & Brito, A.A. & Silva Filho, A.M. & Castro, A.P., 2018. "ρDCCA applied between air temperature and relative humidity: An hour/hour view," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 17-26.
    17. Reboredo, Juan Carlos & Rivera-Castro, Miguel A. & Zebende, Gilney F., 2014. "Oil and US dollar exchange rate dependence: A detrended cross-correlation approach," Energy Economics, Elsevier, vol. 42(C), pages 132-139.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. 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).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ferreira, Paulo & Pereira, Éder Johson de Area Leão & Silva, Marcus Fernandes da & Pereira, Hernane Borges, 2019. "Detrended correlation coefficients between oil and stock markets: The effect of the 2008 crisis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 86-96.
    2. da Silva, L.S. Almeida & Guedes, E.F. & Ferreira, Paulo & Dionísio, Andreia & Zebende, G.F., 2019. "ρx,y between open-close stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 534(C).
    3. Mohti, Wahbeeah & Dionísio, Andreia & Vieira, Isabel & Ferreira, Paulo, 2019. "Financial contagion analysis in frontier markets: Evidence from the US subprime and the Eurozone debt crises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1388-1398.
    4. 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).
    5. 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.
    6. Guedes, E.F. & Brito, A.A. & Oliveira Filho, F.M. & Fernandez, B.F. & de Castro, A.P.N. & da Silva Filho, A.M. & Zebende, G.F., 2018. "Statistical test for ΔρDCCA cross-correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 501(C), pages 134-140.
    7. Shen, Chenhua, 2019. "The influence of a scaling exponent on ρDCCA: A spatial cross-correlation pattern of precipitation records over eastern China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 579-590.
    8. Ferreira, Paulo & Kristoufek, Ladislav & Pereira, Eder Johnson de Area Leão, 2020. "DCCA and DMCA correlations of cryptocurrency markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    9. Bashir, Usman & Zebende, Gilney Figueira & Yu, Yugang & Hussain, Muntazir & Ali, Ahmed & Abbas, Ghulam, 2019. "Differential market reactions to pre and post Brexit referendum," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 151-158.
    10. Thiago Pires Santana & Nicole Horta & Catarina Revez & Rui Manuel Teixeira Santos Dias & Gilney Figueira Zebende, 2023. "Effects of Interdependence and Contagion on Crude Oil and Precious Metals According to ρ DCCA : A COVID-19 Case Study," Sustainability, MDPI, vol. 15(5), pages 1-12, February.
    11. 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).
    12. Ferreira, Paulo & Loures, Luís & Nunes, José & Brito, Paulo, 2018. "Are renewable energy stocks a possibility to diversify portfolios considering an environmentally friendly approach? The view of DCCA correlation coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 675-681.
    13. da Silva Filho, A.M. & Zebende, G.F. & Guedes, E.F., 2021. "Analysis of intentional lethal violent crimes: A sliding windows approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 567(C).
    14. Ferreira, Paulo & Kristoufek, Ladislav, 2020. "Uncovered interest rate parity through the lens of fractal methods: Evidence from the European Union," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 553(C).
    15. 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.
    16. Okorie, David Iheke & Lin, Boqiang, 2023. "Cryptocurrency spectrum and 2020 pandemic: Contagion analysis," International Review of Economics & Finance, Elsevier, vol. 84(C), pages 29-38.
    17. Guedes, E. & Dionísio, A. & Ferreira, P.J. & Zebende, G.F., 2017. "DCCA cross-correlation in blue-chips companies: A view of the 2008 financial crisis in the Eurozone," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 479(C), pages 38-47.
    18. da Silva, Marcus Fernandes & Leão Pereira, Éder Johnson de Area & da Silva Filho, Aloisio Machado & Nunes de Castro, Arleys Pereira & Miranda, José Garcia Vivas & Zebende, Gilney Figueira, 2015. "Quantifying cross-correlation between Ibovespa and Brazilian blue-chips: The DCCA approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 424(C), pages 124-129.
    19. Anderson Palmeira & Éder Pereira & Paulo Ferreira & Luisa Maria Diele-Viegas & Davidson Martins Moreira, 2022. "Long-Term Correlations and Cross-Correlations in Meteorological Variables and Air Pollution in a Coastal Urban Region," Sustainability, MDPI, vol. 14(21), pages 1-12, November.
    20. Ghazani, Majid Mirzaee & Khosravi, Reza, 2020. "Multifractal detrended cross-correlation analysis on benchmark cryptocurrencies and crude oil prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319399. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.