IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v501y2018icp134-140.html
   My bibliography  Save this article

Statistical test for ΔρDCCA cross-correlation coefficient

Author

Listed:
  • 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.

Abstract

In this paper we propose a new statistical test for ΔρDCCA, Detrended Cross-Correlation Coefficient Difference, a tool to measure contagion/interdependence effect in time series of size N at different time scale n. For this proposition we analyzed simulated and real time series. The results showed that the statistical significance of ΔρDCCA depends on the size N and the time scale n, and we can define a critical value for this dependency in 90%, 95%, and 99% of confidence level, as will be shown in this paper.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:501:y:2018:i:c:p:134-140
    DOI: 10.1016/j.physa.2018.02.148
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118302140
    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.2018.02.148?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. da Silva, Marcus Fernandes & de Area Leão Pereira, Éder Johnson & da Silva Filho, Aloisio Machado & de Castro, Arleys Pereira Nunes & Miranda, José Garcia Vivas & Zebende, Gilney Figueira, 2016. "Quantifying the contagion effect of the 2008 financial crisis between the G7 countries (by GDP nominal)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 453(C), pages 1-8.
    2. 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.
    3. Wang, Gang-Jin & Xie, Chi, 2013. "Cross-correlations between Renminbi and four major currencies in the Renminbi currency basket," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1418-1428.
    4. 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.
    5. Ferreira, Paulo & Dionísio, Andreia & Zebende, G.F., 2016. "Why does the Euro fail? The DCCA approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 443(C), pages 543-554.
    6. Machado Filho, A. & da Silva, M.F. & Zebende, G.F., 2014. "Autocorrelation and cross-correlation in time series of homicide and attempted homicide," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 12-19.
    7. Wang, Gang-Jin & Xie, Chi & He, Ling-Yun & Chen, Shou, 2014. "Detrended minimum-variance hedge ratio: A new method for hedge ratio at different time scales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 405(C), pages 70-79.
    8. 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.
    9. 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.
    10. 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.
    11. Jin, Xiaoye, 2017. "Time-varying return-volatility relation in international stock markets," International Review of Economics & Finance, Elsevier, vol. 51(C), pages 157-173.
    12. Yuan, Naiming & Fu, Zuntao, 2014. "Different spatial cross-correlation patterns of temperature records over China: A DCCA study on different time scales," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 400(C), pages 71-79.
    13. 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.
    14. 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.
    15. 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.
    16. Ferreira, Paulo, 2016. "Does the Euro crisis change the cross-correlation pattern between bank shares and national indexes?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 320-329.
    17. 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.
    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. 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).
    2. Dora Almeida & Andreia Dionísio & Paulo Ferreira & Isabel Vieira, 2023. "Impact of the COVID-19 Pandemic on Cryptocurrency Markets: A DCCA Analysis," FinTech, MDPI, vol. 2(2), pages 1-17, May.
    3. Mohti, Wahbeeah & Dionísio, Andreia & Vieira, Isabel & Ferreira, Paulo, 2019. "Regional and global integration of Asian stock markets," Research in International Business and Finance, Elsevier, vol. 50(C), pages 357-368.
    4. Ferreira, Paulo, 2019. "Assessing the relationship between dependence and volume in stock markets: A dynamic analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 516(C), pages 90-97.
    5. 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.
    6. 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.
    7. 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.
    8. Okorie, David Iheke & Lin, Boqiang, 2021. "Stock markets and the COVID-19 fractal contagion effects," Finance Research Letters, Elsevier, vol. 38(C).
    9. 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.
    10. Paulo Ferreira & Éder J. A. L. Pereira & Hernane B. B. Pereira, 2020. "The Exposure of European Union Productive Sectors to Oil Price Changes," Sustainability, MDPI, vol. 12(4), pages 1-16, February.
    11. 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.
    12. 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).
    13. 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).
    14. 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.
    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).

    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. 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).
    2. 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.
    3. 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.
    4. 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.
    5. Thiago B. Murari & Aloisio S. Nascimento Filho & Eder J.A.L. Pereira & Paulo Ferreira & Sergio Pitombo & Hernane B.B. Pereira & Alex A.B. Santos & Marcelo A. Moret, 2019. "Comparative Analysis between Hydrous Ethanol and Gasoline C Pricing in Brazilian Retail Market," Sustainability, MDPI, vol. 11(17), pages 1-12, August.
    6. 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).
    7. Nascimento Filho, A.S. & Pereira, E.J.A.L. & Ferreira, Paulo & Murari, T.B. & Moret, M.A., 2018. "Cross-correlation analysis on Brazilian gasoline retail market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 508(C), pages 550-557.
    8. 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).
    9. 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.
    10. 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.
    11. Li, Jianxuan & Shi, Yingying & Cao, Guangxi, 2018. "Topology structure based on detrended cross-correlation coefficient of exchange rate network of the belt and road countries," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1140-1151.
    12. Oussama Tilfani & Paulo Ferreira & My Youssef El Boukfaoui, 2021. "Dynamic cross-correlation and dynamic contagion of stock markets: a sliding windows approach with the DCCA correlation coefficient," Empirical Economics, Springer, vol. 60(3), pages 1127-1156, March.
    13. 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.
    14. Ferreira, Paulo, 2016. "Does the Euro crisis change the cross-correlation pattern between bank shares and national indexes?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 463(C), pages 320-329.
    15. 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.
    16. 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.
    17. 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.
    18. Zhai, Lu-Sheng & Liu, Ruo-Yu, 2019. "Local detrended cross-correlation analysis for non-stationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 222-233.
    19. 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.
    20. Paulo Ferreira & Éder Pereira, 2019. "The impact of the Brexit referendum on British and European Union bank shares: a cross-correlation analysis with national indices," Economics Bulletin, AccessEcon, vol. 39(1), pages 335-346.

    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:501:y:2018:i:c:p:134-140. 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.