IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v32y2017i1d10.1007_s00180-016-0670-6.html
   My bibliography  Save this article

Scale space multiresolution correlation analysis for time series data

Author

Listed:
  • Leena Pasanen

    (University of Oulu)

  • Lasse Holmström

    (University of Oulu)

Abstract

We propose a new scale space method for the discovery of structure in the correlation between two time series. The method considers the possibility that correlation may not be constant in time and that it might have different features when viewed at different time scales. The time series are first decomposed into additive components corresponding to their features in different time scales. Temporal changes in correlation between pairs of such components are then explored by using weighted correlation within a sliding time window of varying length. Bayesian, sampling-based inference is used to establish the credibility of the correlation structures thus found and the results of analyses are summarized in scale space feature maps. The performance of the method is demonstrated using one artificial and two real data sets. The results underline the usefulness of the scale space approach when the correlation between the time series exhibit time-varying structure in different scales.

Suggested Citation

  • Leena Pasanen & Lasse Holmström, 2017. "Scale space multiresolution correlation analysis for time series data," Computational Statistics, Springer, vol. 32(1), pages 197-218, March.
    • Handle: RePEc:spr:compst:v:32:y:2017:i:1:d:10.1007_s00180-016-0670-6
    DOI: 10.1007/s00180-016-0670-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-016-0670-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s00180-016-0670-6?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. F. Pozzi & T. Matteo & T. Aste, 2012. "Exponential smoothing weighted correlations," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 85(6), pages 1-21, June.
    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. Cochrane, John H, 1989. "The Return of the Liquidity Effect: A Study of the Short-run Relation between Money Growth and Interest Rates," Journal of Business & Economic Statistics, American Statistical Association, vol. 7(1), pages 75-83, January.
    4. Erdem, Orhan & Ceyhan, Elvan & Varli, Yusuf, 2014. "A new correlation coefficient for bivariate time-series data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 414(C), pages 274-284.
    5. Granger, C. W. J., 1981. "Some properties of time series data and their use in econometric model specification," Journal of Econometrics, Elsevier, vol. 16(1), pages 121-130, May.
    6. Holmström, Lasse & Pasanen, Leena & Furrer, Reinhard & Sain, Stephan R., 2011. "Scale space multiresolution analysis of random signals," Computational Statistics & Data Analysis, Elsevier, vol. 55(10), pages 2840-2855, October.
    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. Tu, Chengyi, 2014. "Cointegration-based financial networks study in Chinese stock market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 402(C), pages 245-254.
    2. Mohamed, Hazik & Masih, Mansur, 2017. "Stock market comovement among the ASEAN-5 : a causality analysis," MPRA Paper 98781, University Library of Munich, Germany.
    3. Muhammad Shahbaz & Syed Jawad Hussain Shahzad & Mantu Kumar Mahalik & Perry Sadorsky, 2018. "How strong is the causal relationship between globalization and energy consumption in developed economies? A country-specific time-series and panel analysis," Applied Economics, Taylor & Francis Journals, vol. 50(13), pages 1479-1494, March.
    4. Erie Febrian & Aldrin Herwany, 2009. "Volatility Forecasting Models and Market Co-Integration: A Study on South-East Asian Markets," Working Papers in Economics and Development Studies (WoPEDS) 200911, Department of Economics, Padjadjaran University, revised Sep 2009.
    5. Carmen van der Merwe & Martin de Wit, 2021. "An In-Depth Investigation into the Relationship Between Municipal Solid Waste Generation and Economic Growth in the City of Cape Town," Working Papers 07/2021, Stellenbosch University, Department of Economics, revised 2021.
    6. Chakraborty, Chandana & Nunnenkamp, Peter, 2006. "Economic reforms, foreign direct investment and its economic effects in India," Kiel Working Papers 1272, Kiel Institute for the World Economy (IfW Kiel).
    7. Assogba, Noel Perceval & Zhang, Daowei, 2022. "The conservation reserve program and timber prices in the southern United States," Forest Policy and Economics, Elsevier, vol. 140(C).
    8. Kühl, Michael, 2007. "Cointegration in the foreign exchange market and market efficiency since the introduction of the Euro: Evidence based on bivariate cointegration analyses," University of Göttingen Working Papers in Economics 68, University of Goettingen, Department of Economics.
    9. Abdul Qayyum, 2000. "Demand for Real Money Balances by the Business Sector: An Econometric Investigation," The Pakistan Development Review, Pakistan Institute of Development Economics, vol. 39(4), pages 857-873.
    10. Muñoz, M. Pilar & Dickey, David A., 2009. "Are electricity prices affected by the US dollar to Euro exchange rate? The Spanish case," Energy Economics, Elsevier, vol. 31(6), pages 857-866, November.
    11. Cristian Barra & Giovanna Bimonte & Pietro Spennati, 2015. "Did fiscal institutions affect Wagner's law in Italy during 1951-2009 period? An empirical analysis," Applied Economics, Taylor & Francis Journals, vol. 47(59), pages 6409-6424, December.
    12. Helmut Lütkepohl, 2013. "Vector autoregressive models," Chapters, in: Nigar Hashimzade & Michael A. Thornton (ed.), Handbook of Research Methods and Applications in Empirical Macroeconomics, chapter 6, pages 139-164, Edward Elgar Publishing.
    13. Norah Al-Ballaa, 2005. "Test for cointegration based on two-stage least squares," Journal of Applied Statistics, Taylor & Francis Journals, vol. 32(7), pages 707-713.
    14. Guglielmo Maria Caporale & Luis A. Gil-Alana, 2020. "Modelling Loans to Non-Financial Corporations within the Eurozone: A Long-Memory Approach," CESifo Working Paper Series 8674, CESifo.
    15. Kunze, Frederik, 2017. "Predicting exchange rates in Asia: New insights on the accuracy of survey forecasts," University of Göttingen Working Papers in Economics 326, University of Goettingen, Department of Economics.
    16. Donna J. Bergenstock & Mary E. Deily & Larry W. Taylor, 2006. "A Cartel's Response to Cheating: An Empirical Investigation of the De Beers Diamond Empire," Southern Economic Journal, John Wiley & Sons, vol. 73(1), pages 173-189, July.
    17. Boswijk, H. Peter & Franses, Philip Hans & van Dijk, Dick, 2010. "Cointegration in a historical perspective," Journal of Econometrics, Elsevier, vol. 158(1), pages 156-159, September.
    18. Alexander Schätz, 2010. "Macroeconomic Effects on Emerging Market Sector Indices," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 9(2), pages 131-169, August.
    19. Gil-Alana, Luis A. & Yaya, OlaOluwa S. & Akinsomi, Omokolade & Coskun, Yener, 2020. "How do stocks in BRICS co-move with real estate stocks?," International Review of Economics & Finance, Elsevier, vol. 69(C), pages 93-101.
    20. Muthana Mohammad Omoush, 2018. "Time Series Analysis among Tourism, Financial Development, FDI and Economic Growth in Jordan," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 10(12), pages 150-150, December.

    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:spr:compst:v:32:y:2017:i:1:d:10.1007_s00180-016-0670-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.