IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v654y2024ics0378437124006241.html
   My bibliography  Save this article

Jensen-Detrended Cross-Correlation function for non-stationary time series with application to Latin American stock markets

Author

Listed:
  • Contreras-Reyes, Javier E.
  • Jeldes-Delgado, Fabiola
  • Carrasco, Raúl

Abstract

Variance has an important role in statistics and information theory fields, by forming the basis for many well-known information measures. Based on Jensen’s inequality and variance, the Jensen-variance information has been previously proposed to measure the distance between two random variables. Jensen-variance distance is based on the convexity property of random variable variance. Based on the relationship between Jensen-variance distance and classical Detrended Cross-Correlation (DCC) of two not necessarily stationary process, the Jensen-Detrended Covariance and Jensen-DCC functions are proposed in this paper. Moreover, Jensen-DCC function is also considered for Hénon and Logistic chaotic maps for simulated time series. Then we considered a stock market time series dataset for the study of similarity of Latin American indexes with S&P500 and Shanghai ones. We obtained a useful tool to study the similarity or distance of two non-stationary time series based on DCC coefficient.

Suggested Citation

  • Contreras-Reyes, Javier E. & Jeldes-Delgado, Fabiola & Carrasco, Raúl, 2024. "Jensen-Detrended Cross-Correlation function for non-stationary time series with application to Latin American stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 654(C).
    • Handle: RePEc:eee:phsmap:v:654:y:2024:i:c:s0378437124006241
    DOI: 10.1016/j.physa.2024.130115
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437124006241
    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.2024.130115?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. 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.
    3. Rafal Rak & Stanislaw Drozdz & Jaroslaw Kwapien & Pawel Oswiecimka, 2015. "Detrended cross-correlations between returns, volatility, trading activity, and volume traded for the stock market companies," Papers 1510.04910, arXiv.org, revised Nov 2015.
    4. Perobelli, Fernando Salgueiro & Afonso, Damares Lopes & Bastos, Suzana Quinet de Andrade, 2021. "Latin America and China: mutual benefit or dependency?," Revista CEPAL, Naciones Unidas Comisión Económica para América Latina y el Caribe (CEPAL), December.
    5. Contreras-Reyes, Javier E. & Kharazmi, Omid, 2023. "Belief Fisher–Shannon information plane: Properties, extensions, and applications to time series analysis," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    6. Alexandra Sotiriou & Andrés Rodríguez-Pose, 2021. "Chinese vs. US Trade in an Emerging Country: The Impact of Trade Openness in Chile," Journal of Development Studies, Taylor & Francis Journals, vol. 57(12), pages 2095-2111, December.
    7. Eichenauer, Vera Z. & Fuchs, Andreas & Brückner, Lutz, 2021. "The effects of trade, aid, and investment on China's image in Latin America," Journal of Comparative Economics, Elsevier, vol. 49(2), pages 483-498.
    8. Davidson, Sharada Nia, 2020. "Interdependence or contagion: A model switching approach with a focus on Latin America," Economic Modelling, Elsevier, vol. 85(C), pages 166-197.
    9. Xi Zhang & Xu Wu & Linlin Zhang & Zhonglu Chen, 2022. "The Evaluation of Mean-Detrended Cross-Correlation Analysis Portfolio Strategy for Multiple risk Assets," Evaluation Review, , vol. 46(2), pages 138-164, April.
    10. Wu, Fei, 2020. "Stock market integration in East and Southeast Asia: The role of global factors," International Review of Financial Analysis, Elsevier, vol. 67(C).
    11. Rodrigo A. Alfaro & Carmen Gloria Silva, 2008. "Volatilidad de Indices Accionarios: El caso del IPSA," Latin American Journal of Economics-formerly Cuadernos de Economía, Instituto de Economía. Pontificia Universidad Católica de Chile., vol. 45(132), pages 217-233.
    12. Jaroslaw Kwapien & Pawel Oswiecimka & Stanislaw Drozdz, 2015. "Detrended fluctuation analysis made flexible to detect range of cross-correlated fluctuations," Papers 1506.08692, arXiv.org, revised Nov 2015.
    13. 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.
    14. 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.
    15. Zhang, Weiping & Zhuang, Xintian & Lu, Yang, 2020. "Spatial spillover effects and risk contagion around G20 stock markets based on volatility network," The North American Journal of Economics and Finance, Elsevier, vol. 51(C).
    16. Mendonça, Suzielli M. & Cabella, Brenno C.T. & Martinez, Alexandre S., 2024. "A Multifractal Detrended Fluctuation Analysis approach using generalized functions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 637(C).
    17. Sadeghi, Abdorasoul & Tayebi, Seyed Komail & Roudari, Soheil, 2023. "Financial markets, inflation and growth: The impact of monetary policy under different political structures," Journal of Policy Modeling, Elsevier, vol. 45(5), pages 935-956.
    18. Podobnik, Boris & Horvatic, Davor & Lam Ng, Alfonso & Eugene Stanley, H. & Ivanov, Plamen Ch., 2008. "Modeling long-range cross-correlations in two-component ARFIMA and FIARCH processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3954-3959.
    19. Contreras-Reyes, Javier E. & Idrovo-Aguirre, Byron J., 2020. "Backcasting and forecasting time series using detrended cross-correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    20. Suchandan Kayal & N. Balakrishnan, 2023. "Weighted fractional generalized cumulative past entropy and its properties," Methodology and Computing in Applied Probability, Springer, vol. 25(2), pages 1-23, June.
    21. Xi-Yuan Qian & Ya-Min Liu & Zhi-Qiang Jiang & Boris Podobnik & Wei-Xing Zhou & H. Eugene Stanley, 2015. "Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces," Papers 1504.02435, arXiv.org, revised Apr 2015.
    22. Javier E. Contreras-Reyes & Joaquín E. Zavala & Byron J. Idrovo-Aguirre, 2024. "Analyzing the Selective Stock Price Index Using Fractionally Integrated and Heteroskedastic Models," JRFM, MDPI, vol. 17(9), pages 1-17, September.
    Full references (including those not matched with items on IDEAS)

    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. Contreras-Reyes, Javier E. & Idrovo-Aguirre, Byron J., 2020. "Backcasting and forecasting time series using detrended cross-correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 560(C).
    2. 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.
    3. Chen, Yingyuan & Cai, Lihui & Wang, Ruofan & Song, Zhenxi & Deng, Bin & Wang, Jiang & Yu, Haitao, 2018. "DCCA cross-correlation coefficients reveals the change of both synchronization and oscillation in EEG of Alzheimer disease patients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 171-184.
    4. 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.
    5. Wang, Fang & Wang, Lin & Chen, Yuming, 2018. "Quantifying the range of cross-correlated fluctuations using a q–L dependent AHXA coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 454-464.
    6. İşcanoğlu-Çekiç, Ayşegül & Gülteki̇n, Havva, 2019. "Are cross-correlations between Turkish Stock Exchange and three major country indices multifractal or monofractal?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 978-990.
    7. Ruan, Qingsong & Bao, Junjie & Zhang, Manqian & Fan, Limin, 2019. "The effects of exchange rate regime reform on RMB markets: A new perspective based on MF-DCCA," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 522(C), pages 122-134.
    8. 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.
    9. Oussama Tilfani & My Youssef El Boukfaoui, 2020. "Multifractal Analysis of African Stock Markets During the 2007–2008 US Crisis," Review of Pacific Basin Financial Markets and Policies (RPBFMP), World Scientific Publishing Co. Pte. Ltd., vol. 22(04), pages 1-31, January.
    10. 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.
    11. Teng, Yue & Shang, Pengjian, 2018. "Detrended fluctuation analysis based on higher-order moments of financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 311-322.
    12. Marcin Wk{a}torek & Marcin Kr'olczyk & Jaros{l}aw Kwapie'n & Tomasz Stanisz & Stanis{l}aw Dro.zd.z, 2024. "Approaching multifractal complexity in decentralized cryptocurrency trading," Papers 2411.05951, arXiv.org.
    13. Derick Quintino & José Telo da Gama & Paulo Ferreira, 2021. "Cross-Correlations in Meat Prices in Brazil: A Non-Linear Approach Using Different Time Scales," Economies, MDPI, vol. 9(4), pages 1-12, September.
    14. 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).
    15. Kristoufek, Ladislav, 2014. "Measuring correlations between non-stationary series with DCCA coefficient," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 291-298.
    16. 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).
    17. Li, Tingyi & Xue, Leyang & Chen, Yu & Chen, Feier & Miao, Yuqi & Shao, Xinzeng & Zhang, Chenyi, 2018. "Insights from multifractality analysis of tanker freight market volatility with common external factor of crude oil price," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 374-384.
    18. Jamel Jouini, 2023. "New evidence on financial integration in Latin America," Economics Bulletin, AccessEcon, vol. 43(4), pages 1802-1815.
    19. Niu, Hongli & Wang, Weiqing & Zhang, Junhuan, 2019. "Recurrence duration statistics and time-dependent intrinsic correlation analysis of trading volumes: A study of Chinese stock indices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 838-854.
    20. 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.

    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:654:y:2024:i:c:s0378437124006241. 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.