IDEAS home Printed from https://ideas.repec.org/a/spr/jclass/v38y2021i3d10.1007_s00357-020-09380-3.html
   My bibliography  Save this article

Wavelet Multidimensional Scaling Analysis of European Economic Sentiment Indicators

Author

Listed:
  • Antonis A. Michis

    (Central Bank of Cyprus)

Abstract

We propose the use of wavelet coefficients, which are generated from nondecimated discreet wavelet transforms, to form a correlation-based dissimilarity measure in metric multidimensional scaling. This measure enables the construction of configurations depicting the associations between objects across different timescales. The proposed method is used to examine the similarities between the economic sentiment indicators of the EU member states that are published monthly by the European Commission. The results suggest that economic sentiment differs considerably among the member states in the short term. In contrast, several similarities emerge when considering the associations over longer time horizons. These similarities tend to be related to the countries that are geographically close or that exhibited similar economic behaviour prior to the introduction of the euro. Furthermore, the results of a detailed simulation study suggest that the proposed dissimilarity measure is particularly well suited for identifying long-term associations between nonstationary time series.

Suggested Citation

  • Antonis A. Michis, 2021. "Wavelet Multidimensional Scaling Analysis of European Economic Sentiment Indicators," Journal of Classification, Springer;The Classification Society, vol. 38(3), pages 443-480, October.
  • Handle: RePEc:spr:jclass:v:38:y:2021:i:3:d:10.1007_s00357-020-09380-3
    DOI: 10.1007/s00357-020-09380-3
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00357-020-09380-3
    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/s00357-020-09380-3?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. Frankel, Jeffrey A & Rose, Andrew K, 1998. "The Endogeneity of the Optimum Currency Area Criteria," Economic Journal, Royal Economic Society, vol. 108(449), pages 1009-1025, July.
    2. Gower, John C. & Ngouenet, Roger F., 2005. "Nonlinearity effects in multidimensional scaling," Journal of Multivariate Analysis, Elsevier, vol. 94(2), pages 344-365, June.
    3. Ramsey, James B. & Gallegati, Marco & Gallegati, Mauro & Semmler, Willi, 2010. "Instrumental variables and wavelet decompositions," Economic Modelling, Elsevier, vol. 27(6), pages 1498-1513, November.
    4. Basalto, Nicolas & Bellotti, Roberto & De Carlo, Francesco & Facchi, Paolo & Pantaleo, Ester & Pascazio, Saverio, 2007. "Hausdorff clustering of financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 379(2), pages 635-644.
    5. Camacho, Maximo & Perez-Quiros, Gabriel & Saiz, Lorena, 2006. "Are European business cycles close enough to be just one?," Journal of Economic Dynamics and Control, Elsevier, vol. 30(9-10), pages 1687-1706.
    6. Michis, Antonis A., 2014. "Time scale evaluation of economic forecasts," Economics Letters, Elsevier, vol. 123(3), pages 279-281.
    7. Michis, Antonis A., 2014. "Investing in gold: Individual asset risk in the long run," Finance Research Letters, Elsevier, vol. 11(4), pages 369-374.
    8. Aguiar-Conraria, LuI´s & Joana Soares, Maria, 2011. "Business cycle synchronization and the Euro: A wavelet analysis," Journal of Macroeconomics, Elsevier, vol. 33(3), pages 477-489, September.
    9. G. P. Nason & R. Von Sachs & G. Kroisandt, 2000. "Wavelet processes and adaptive estimation of the evolutionary wavelet spectrum," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 62(2), pages 271-292.
    10. Enrico Spolaore, 2013. "What Is European Integration Really About? A Political Guide for Economists," Journal of Economic Perspectives, American Economic Association, vol. 27(3), pages 125-144, Summer.
    11. Rua, António & Nunes, Luís C., 2009. "International comovement of stock market returns: A wavelet analysis," Journal of Empirical Finance, Elsevier, vol. 16(4), pages 632-639, September.
    12. Lawrence J. Christiano & Terry J. Fitzgerald, 2003. "The Band Pass Filter," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 44(2), pages 435-465, May.
    13. Maharaj, Elizabeth Ann & D’Urso, Pierpaolo, 2010. "A coherence-based approach for the pattern recognition of time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3516-3537.
    14. Rose, Andrew K & Engel, Charles, 2002. "Currency Unions and International Integration," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(4), pages 1067-1089, November.
    15. Marco Gallegati & Willi Semmler (ed.), 2014. "Wavelet Applications in Economics and Finance," Dynamic Modeling and Econometrics in Economics and Finance, Springer, edition 127, number 978-3-319-07061-2, May.
    16. Luís Aguiar-Conraria & Manuel M.F. Martins & Maria Joana Soares, 2013. "Convergence of the Economic Sentiment Cycles in the Eurozone: A Time-Frequency Analysis," Journal of Common Market Studies, Wiley Blackwell, vol. 51(3), pages 377-398, May.
    17. Jansen, W. Jos & Nahuis, Niek J., 2003. "The stock market and consumer confidence: European evidence," Economics Letters, Elsevier, vol. 79(1), pages 89-98, April.
    18. Sangbae Kim & Francis In, 2010. "Portfolio allocation and the investment horizon: a multiscaling approach," Quantitative Finance, Taylor & Francis Journals, vol. 10(4), pages 443-453.
    19. Fong, Duncan K. H. & DeSarbo, Wayne S. & Park, Joonwook & Scott, Crystal J., 2010. "A Bayesian Vector Multidimensional Scaling Procedure for the Analysis of Ordered Preference Data," Journal of the American Statistical Association, American Statistical Association, vol. 105(490), pages 482-492.
    20. Christophe Croux & Mario Forni & Lucrezia Reichlin, 2001. "A Measure Of Comovement For Economic Variables: Theory And Empirics," The Review of Economics and Statistics, MIT Press, vol. 83(2), pages 232-241, May.
    21. Witten, Daniela M. & Tibshirani, Robert, 2011. "Supervised multidimensional scaling for visualization, classification, and bipartite ranking," Computational Statistics & Data Analysis, Elsevier, vol. 55(1), pages 789-801, January.
    22. Oh M-S. & Raftery A. E., 2001. "Bayesian Multidimensional Scaling and Choice of Dimension," Journal of the American Statistical Association, American Statistical Association, vol. 96, pages 1031-1044, September.
    23. Fryzlewicz, Piotr & Delouille, V´eronique & Nason, Guy P., 2007. "GOES-8 X-ray sensor variance stabilization using the multiscale data-driven Haar-Fisz transform," LSE Research Online Documents on Economics 25221, London School of Economics and Political Science, LSE Library.
    24. Marco Gallegati & Mauro Gallegati & James B. Ramsey & Willi Semmler, 2014. "Does Productivity Affect Unemployment? A Time-Frequency Analysis for the US," Dynamic Modeling and Econometrics in Economics and Finance, in: Marco Gallegati & Willi Semmler (ed.), Wavelet Applications in Economics and Finance, edition 127, pages 23-46, Springer.
    25. Antonis A Michis, 2015. "A wavelet smoothing method to improve conditional sales forecasting," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 66(5), pages 832-844, May.
    26. Lin, L. & Fong, D.K.H., 2019. "Bayesian multidimensional scaling procedure with variable selection," Computational Statistics & Data Analysis, Elsevier, vol. 129(C), pages 1-13.
    27. Trevor Cox, 2001. "Multidimensional scaling used in multivariate statistical process control," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(3-4), pages 365-378.
    28. Hitchcock, David B. & Casella, George & Booth, James G., 2006. "Improved Estimation of Dissimilarities by Presmoothing Functional Data," Journal of the American Statistical Association, American Statistical Association, vol. 101, pages 211-222, March.
    29. Jean Beuve & Stéphane Saussier & Julie de Brux, 2018. "An Economic Analysis of Public-Private Partnerships," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-02139523, HAL.
    30. Luís Aguiar-Conraria & Maria Joana Soares, 2014. "The Continuous Wavelet Transform: Moving Beyond Uni- And Bivariate Analysis," Journal of Economic Surveys, Wiley Blackwell, vol. 28(2), pages 344-375, April.
    31. Dose, Christian & Cincotti, Silvano, 2005. "Clustering of financial time series with application to index and enhanced index tracking portfolio," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 355(1), pages 145-151.
    32. Marco Gallegati & Mauro Gallegati & James Bernard Ramsey & Willi Semmler, 2011. "The US Wage Phillips Curve across Frequencies and over Time," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 73(4), pages 489-508, August.
    33. Beetsma, Roel & Uhlig, Harald, 1999. "An Analysis of the Stability and Growth Pact," Economic Journal, Royal Economic Society, vol. 109(458), pages 546-571, October.
    34. Guy Nason, 2013. "A test for second-order stationarity and approximate confidence intervals for localized autocovariances for locally stationary time series," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 75(5), pages 879-904, November.
    35. Lawrence Hubert & Phipps Arabie, 1985. "Comparing partitions," Journal of Classification, Springer;The Classification Society, vol. 2(1), pages 193-218, December.
    36. Ausloos, M. & Lambiotte, R., 2007. "Clusters or networks of economies? A macroeconomy study through Gross Domestic Product," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(1), pages 16-21.
    37. Piotr Fryzlewicz & Véronique Delouille & Guy P. Nason, 2007. "GOES‐8 X‐ray sensor variance stabilization using the multiscale data‐driven Haar–Fisz transform," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 56(1), pages 99-116, January.
    38. Lemmens, A. & Croux, C. & Dekimpe, M.G., 2007. "Consumer confidence in Europe : United in diversity," Other publications TiSEM ea8c3268-2c0b-4fcc-9d4a-6, Tilburg University, School of Economics and Management.
    39. Miśkiewicz, Janusz & Ausloos, Marcel, 2008. "Correlation measure to detect time series distances, whence economy globalization," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(26), pages 6584-6594.
    40. Elizabeth Ann Maharaj & Pierpaolo D’Urso & Don Galagedera, 2010. "Wavelet-based Fuzzy Clustering of Time Series," Journal of Classification, Springer;The Classification Society, vol. 27(2), pages 231-275, September.
    41. Antonis Michis, 2015. "Multiscale Analysis of the Liquidity Effect in the UK Economy," Computational Economics, Springer;Society for Computational Economics, vol. 45(4), pages 615-633, April.
    42. Mizuno, Takayuki & Takayasu, Hideki & Takayasu, Misako, 2006. "Correlation networks among currencies," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 364(C), pages 336-342.
    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. Antonis A. Michis, 2023. "Precious Metals Comovements in Turbulent Times: COVID-19 and the Ukrainian Conflict," JRFM, MDPI, vol. 16(5), pages 1-18, May.

    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. Maharaj, Elizabeth Ann & D’Urso, Pierpaolo, 2010. "A coherence-based approach for the pattern recognition of time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(17), pages 3516-3537.
    2. Ansgar Belke & Clemens Domnick & Daniel Gros, 2017. "Business Cycle Synchronization in the EMU: Core vs. Periphery," Open Economies Review, Springer, vol. 28(5), pages 863-892, November.
    3. Luboš Hanus & Lukáš Vácha, 2020. "Growth cycle synchronization of the Visegrad Four and the European Union," Empirical Economics, Springer, vol. 58(4), pages 1779-1795, April.
    4. Kurowski, Łukasz & Rogowicz, Karol, 2018. "Are business and credit cycles synchronised internally or externally?," Economic Modelling, Elsevier, vol. 74(C), pages 124-141.
    5. Kapounek, Svatopluk & Kučerová, Zuzana, 2019. "Historical decoupling in the EU: Evidence from time-frequency analysis," International Review of Economics & Finance, Elsevier, vol. 60(C), pages 265-280.
    6. Rua, António, 2017. "A wavelet-based multivariate multiscale approach for forecasting," International Journal of Forecasting, Elsevier, vol. 33(3), pages 581-590.
    7. Abid, Fathi & Kaffel, Bilel, 2018. "Time–frequency wavelet analysis of the interrelationship between the global macro assets and the fear indexes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1028-1045.
    8. Antonis A. Michis & Guy P. Nason, 2017. "Case study: shipping trend estimation and prediction via multiscale variance stabilisation," Journal of Applied Statistics, Taylor & Francis Journals, vol. 44(15), pages 2672-2684, November.
    9. Aloui, Chaker & Hkiri, Besma & Nguyen, Duc Khuong, 2016. "Real growth co-movements and business cycle synchronization in the GCC countries: Evidence from time-frequency analysis," Economic Modelling, Elsevier, vol. 52(PB), pages 322-331.
    10. Fratianni, Michele & Gallegati, Marco & Giri, Federico, 2022. "The medium-run Phillips curve: A time–frequency investigation for the UK," Journal of Macroeconomics, Elsevier, vol. 73(C).
    11. Liu, Shen & Maharaj, Elizabeth Ann & Inder, Brett, 2014. "Polarization of forecast densities: A new approach to time series classification," Computational Statistics & Data Analysis, Elsevier, vol. 70(C), pages 345-361.
    12. Eugen Scarlat, 2016. "Connectivity - Based Clustering of GDP Time Series," Journal for Economic Forecasting, Institute for Economic Forecasting, vol. 0(1), pages 23-38, March.
    13. Luís Aguiar-Conraria & Teresa Maria Rodrigues & Maria Joana Soares, 2014. "Oil Shocks and the Euro as an Optimum Currency Area," Dynamic Modeling and Econometrics in Economics and Finance, in: Marco Gallegati & Willi Semmler (ed.), Wavelet Applications in Economics and Finance, edition 127, pages 143-156, Springer.
    14. Ahlborn, Markus & Wortmann, Marcus, 2018. "The core‒periphery pattern of European business cycles: A fuzzy clustering approach," Journal of Macroeconomics, Elsevier, vol. 55(C), pages 12-27.
    15. Mattia Guerini & Duc Thi Luu & Mauro Napoletano, 2023. "Synchronization patterns in the European Union," Applied Economics, Taylor & Francis Journals, vol. 55(18), pages 2038-2059, April.
    16. Stavros Degiannakis & David Duffy & George Filis, 2014. "Business Cycle Synchronization in EU: A Time-Varying Approach," Scottish Journal of Political Economy, Scottish Economic Society, vol. 61(4), pages 348-370, September.
    17. Liu, Shen & Maharaj, Elizabeth Ann, 2013. "A hypothesis test using bias-adjusted AR estimators for classifying time series in small samples," Computational Statistics & Data Analysis, Elsevier, vol. 60(C), pages 32-49.
    18. Faria, Gonçalo & Verona, Fabio, 2018. "Forecasting stock market returns by summing the frequency-decomposed parts," Journal of Empirical Finance, Elsevier, vol. 45(C), pages 228-242.
    19. Rua, António, 2010. "Measuring comovement in the time-frequency space," Journal of Macroeconomics, Elsevier, vol. 32(2), pages 685-691, June.
    20. Gallegati, Marco & Delli Gatti, Domenico, 2018. "Macrofinancial imbalances in historical perspective: A global crisis index," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 190-205.

    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:jclass:v:38:y:2021:i:3:d:10.1007_s00357-020-09380-3. 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.