IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v518y2019icp331-342.html
   My bibliography  Save this article

Investigating detrended fluctuation analysis with structural breaks

Author

Listed:
  • Menezes, Rui
  • Oliveira, Álvaro
  • Portela, Sofia

Abstract

Detrended Fluctuation Analysis has been used in several fields of science to study the statistical properties of trend stationary and nonstationary time-series. Its application to financial data has produced important results concerning long-range correlations and long-memory. However, these results may be contaminated if the researcher attributes to nonstationary trends the effect of stationary trends with endogenous structural breaks. Our paper proposes a modified DFA model where boxes to determine local trends are replaced by endogenous structural break windows. We also allow local trends fitted by quadratic functions and use squared residuals in place of patchy standard deviations to study the magnitude of the power-law exponent. The results show that our modified DFA model performs better than the fixed length alternatives originally proposed, and is, therefore, a suitable model to fit with financial data. Consistently with previous findings, our results show positive long-range correlation in all indices with the higher value for emerging markets.

Suggested Citation

  • Menezes, Rui & Oliveira, Álvaro & Portela, Sofia, 2019. "Investigating detrended fluctuation analysis with structural breaks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 518(C), pages 331-342.
    • Handle: RePEc:eee:phsmap:v:518:y:2019:i:c:p:331-342
    DOI: 10.1016/j.physa.2018.12.006
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437118315115
    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.2018.12.006?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. Alastair R. Hall & Denise R. Osborn & Nikolaos Sakkas, 2013. "Inference on Structural Breaks using Information Criteria," Manchester School, University of Manchester, vol. 81, pages 54-81, October.
    2. Engle, Robert & Granger, Clive, 2015. "Co-integration and error correction: Representation, estimation, and testing," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 39(3), pages 106-135.
    3. Baillie, Richard T. & Bollerslev, Tim & Mikkelsen, Hans Ole, 1996. "Fractionally integrated generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 74(1), pages 3-30, September.
    4. Oświe¸cimka, P. & Kwapień, J. & Drożdż, S., 2005. "Multifractality in the stock market: price increments versus waiting times," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 347(C), pages 626-638.
    5. Yao, Yi-Ching, 1988. "Estimating the number of change-points via Schwarz' criterion," Statistics & Probability Letters, Elsevier, vol. 6(3), pages 181-189, February.
    6. MacKinnon, James G, 1996. "Numerical Distribution Functions for Unit Root and Cointegration Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(6), pages 601-618, Nov.-Dec..
    7. Perron, Pierre, 1997. "Further evidence on breaking trend functions in macroeconomic variables," Journal of Econometrics, Elsevier, vol. 80(2), pages 355-385, October.
    8. Shachmurove, Yochanan, 2011. "A historical overview of financial crises in the United States," Global Finance Journal, Elsevier, vol. 22(3), pages 217-231.
    9. Diebold, Francis X & Mariano, Roberto S, 2002. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 134-144, January.
    10. Perron, Pierre, 1989. "The Great Crash, the Oil Price Shock, and the Unit Root Hypothesis," Econometrica, Econometric Society, vol. 57(6), pages 1361-1401, November.
    11. Jushan Bai & Pierre Perron, 2003. "Critical values for multiple structural change tests," Econometrics Journal, Royal Economic Society, vol. 6(1), pages 72-78, June.
    12. Wang, Qizhen & Zhu, Yingming & Yang, Liansheng & Mul, Remco A.H., 2017. "Coupling detrended fluctuation analysis of Asian stock markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 337-350.
    13. Xinsheng Lu & Jie Tian & Ying Zhou & Zhihui Li, 2012. "Multifractal Detrended Fluctuation Analysis of the Chinese Stock Index Futures Market," Working Papers 2012-08, Auckland University of Technology, Department of Economics.
    14. Zunino, L. & Tabak, B.M. & Figliola, A. & Pérez, D.G. & Garavaglia, M. & Rosso, O.A., 2008. "A multifractal approach for stock market inefficiency," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6558-6566.
    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. Jia, Linlu & Ke, Jinchuan & Wang, Jun, 2020. "Fluctuation behavior analysis of stochastic exclusion financial dynamics with random jump," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 542(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. Devi, P. Indira & Shanmugam, K.R. & Jayasree, M.G., 2012. "Compensating Wages for Occupational Risks of Farm Workers in India," Indian Journal of Agricultural Economics, Indian Society of Agricultural Economics, vol. 67(2), pages 1-12.
    2. Boetel, Brenda L. & Liu, Donald J., 2008. "Incorporating Structural Changes in Agricultural and Food Price Analysis: An Application to the U.S. Beef and Pork Sectors," Working Papers 44076, University of Minnesota, The Food Industry Center.
    3. Giorgio Canarella & Rangan Gupta & Stephen M. Miller & Stephen K. Pollard, 2019. "Unemployment rate hysteresis and the great recession: exploring the metropolitan evidence," Empirical Economics, Springer, vol. 56(1), pages 61-79, January.
    4. Gaolu Zou & K. W. Chau, 2019. "Long- and Short-Run Effects of Fuel Prices on Freight Transportation Volumes in Shanghai," Sustainability, MDPI, vol. 11(18), pages 1-12, September.
    5. Bill Russell & Anindya Banerjee & Issam Malki & Natalia Ponomareva, 2010. "A Multiple Break Panel Approach to Estimating United States Phillips Curves," Discussion Papers 10-14, Department of Economics, University of Birmingham.
    6. Vicente Esteve, 2004. "Política fiscal y productividad del trabajo en la economía española: un análisis de series temporales," Revista de Analisis Economico – Economic Analysis Review, Universidad Alberto Hurtado/School of Economics and Business, vol. 19(1), pages 3-29, June.
    7. Russell, Bill, 2011. "Non-stationary inflation and panel estimates of United States short and long-run Phillips curves," Journal of Macroeconomics, Elsevier, vol. 33(3), pages 406-419, September.
    8. Brittle, Shane, 2009. "Ricardian Equivalence and the Efficacy of Fiscal Policy in Australia," Economics Working Papers wp09-10, School of Economics, University of Wollongong, NSW, Australia.
    9. Francisco Estrada & Pierre Perron, 2019. "Breaks, Trends and the Attribution of Climate Change: A Time-Series Analysis," Revista Economía, Fondo Editorial - Pontificia Universidad Católica del Perú, vol. 42(83), pages 1-31.
    10. Zou, Gao Lu, 2012. "The long-term relationships among China's energy consumption sources and adjustments to its renewable energy policy," Energy Policy, Elsevier, vol. 47(C), pages 456-467.
    11. Pegkas Panagiotis, 2019. "Government Debt and Economic Growth. A Threshold Analysis for Greece," Peace Economics, Peace Science, and Public Policy, De Gruyter, vol. 25(1), pages 1-6, February.
    12. D.K. Srivastava & K.R. Shanmugam, 2012. "Stationarity Test for Aggregate Outputs in the Presence of Structural Breaks," Working Papers 2012-072, Madras School of Economics,Chennai,India.
    13. Jeng-Bau Lin & Wei Tsai, 2019. "The Relations of Oil Price Change with Fear Gauges in Global Political and Economic Environment," Energies, MDPI, vol. 12(15), pages 1-17, August.
    14. Derek Bond & Michael J. Harrison & Edward J. O'Brien, 2005. "Testing for Long Memory and Nonlinear Time Series: A Demand for Money Study," Trinity Economics Papers tep20021, Trinity College Dublin, Department of Economics.
    15. Dierk HERZER & Felicitas NOWAK‐LEHMANN D. & Boriss SILIVERSTOVS, 2006. "Export‐Led Growth In Chile: Assessing The Role Of Export Composition In Productivity Growth," The Developing Economies, Institute of Developing Economies, vol. 44(3), pages 306-328, September.
    16. Kim, Dukpa & Oka, Tatsushi & Estrada, Francisco & Perron, Pierre, 2020. "Inference related to common breaks in a multivariate system with joined segmented trends with applications to global and hemispheric temperatures," Journal of Econometrics, Elsevier, vol. 214(1), pages 130-152.
    17. Acaravici, Ali, 2010. "Structural Breaks, Electricity Consumption and Economic Growth: Evidence from Turkey," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(2), pages 140-154, July.
    18. PHILIP E.T. LEWIS & GARRY A. MacDONALD, 1993. "Testing for Equilibrium in the Australian Wage Equation," The Economic Record, The Economic Society of Australia, vol. 69(3), pages 295-304, September.
    19. Waheed A. Banafea, 2014. "Structural Breaks and Causality Relationship between Economic Growth and Energy Consumption in Saudi Arabia," International Journal of Energy Economics and Policy, Econjournals, vol. 4(4), pages 726-734.
    20. Yau, Hwey-Yun & Nieh, Chien-Chung, 2006. "Interrelationships among stock prices of Taiwan and Japan and NTD/Yen exchange rate," Journal of Asian Economics, Elsevier, vol. 17(3), pages 535-552, June.

    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:518:y:2019:i:c:p:331-342. 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.