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Asymmetric Time Series and Temporal Aggregation

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  • Kurt Brännäs
  • Henry Ohlsson

Abstract

The detection of nonlinearities could depend on the sampling frequency. Asymmetric monthly series may become symmetric when aggregated to quarterly or annual frequencies. We test against nonlinearity using the nonlinear autoregressive asymmetric moving average (ARasMA) model, which nests the linear ARMA model as a special case. Using monthly, quarterly, and annual Swedish unemployment series, we find support for symmetry/linearity in the annual series but not in the monthly and quarterly series. © 1999 by the President and Fellows of Harvard College and the Massachusetts Institute of Technology

Suggested Citation

  • Kurt Brännäs & Henry Ohlsson, 1999. "Asymmetric Time Series and Temporal Aggregation," The Review of Economics and Statistics, MIT Press, vol. 81(2), pages 341-344, May.
  • Handle: RePEc:tpr:restat:v:81:y:1999:i:2:p:341-344
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    References listed on IDEAS

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    Cited by:

    1. Dick van Dijk & Timo Terasvirta & Philip Hans Franses, 2002. "Smooth Transition Autoregressive Models — A Survey Of Recent Developments," Econometric Reviews, Taylor & Francis Journals, vol. 21(1), pages 1-47.
    2. Taştan, Hüseyin, 2011. "Simulation based estimation of threshold moving average models with contemporaneous shock asymmetry," MPRA Paper 34302, University Library of Munich, Germany.
    3. Martin Chalkley & In Ho Lee, 1998. "Learning and Asymmetric Business Cycles," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 1(3), pages 623-645, July.
    4. Steven Cook & Alan Speight, 2006. "International Business Cycle Asymmetry and Time Irreversible Nonlinearities," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(10), pages 1051-1065.
    5. Abbas Valadkhani & Sajid Anwar & Amir Arjonandi, 2012. "How to capture the full extent of price stickiness in credit card interest rates?," Economics Working Papers wp12-02, School of Economics, University of Wollongong, NSW, Australia.
    6. Bårdsen Gunnar & Hurn Stanley & McHugh Zöe, 2012. "Asymmetric Unemployment Rate Dynamics in Australia," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, pages 1-22.
    7. Ivan Paya & David A. Peel, 2011. "Systematic sampling of nonlinear models: Evidence on speed of adjustment in index futures markets," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 31(2), pages 192-203, February.
    8. Skalin, Joakim & Ter svirta, Timo, 2002. "Modeling Asymmetries And Moving Equilibria In Unemployment Rates," Macroeconomic Dynamics, Cambridge University Press, pages 202-241.
    9. Terence Mills, 2001. "Business cycle asymmetry and duration dependence: An international perspective," Journal of Applied Statistics, Taylor & Francis Journals, vol. 28(6), pages 713-724.
    10. Valadkhani, Abbas, 2013. "The pricing behaviour of Australian banks and building societies in the residential mortgage market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 26(C), pages 133-151.
    11. Brännäs, Kurt, 2003. "Temporal Aggregation of the Returns of a Stock Index Series," Umeå Economic Studies 614, Umeå University, Department of Economics.
    12. Abbas Valadkhani & Sajid Anwar, 2012. "Interest Rate Pass-Through and the Asymmetric Relationship between the Cash Rate and the Mortgage Rate," The Economic Record, The Economic Society of Australia, vol. 88(282), pages 341-350, September.
    13. Jan G. De Gooijer & Kurt Brännäs, 2004. "Asymmetries in conditional mean and variance: modelling stock returns by asMA-asQGARCH," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 23(3), pages 155-171.
    14. Valadkhani, Abbas & Worthington, Andrew, 2014. "Asymmetric behavior of Australia's Big-4 banks in the mortgage market," Economic Modelling, Elsevier, vol. 43(C), pages 57-66.
    15. Brännäs Kurt & De Gooijer Jan G. & Lönnbark Carl & Soultanaeva Albina, 2012. "Simultaneity and Asymmetry of Returns and Volatilities: The Emerging Baltic States' Stock Exchanges," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(1), pages 1-24, January.
    16. Maria Simona Andreano & Giovanni Savio, 2002. "Further evidence on business cycle asymmetries in G7 countries," Applied Economics, Taylor & Francis Journals, vol. 34(7), pages 895-904.
    17. Kurt Brannas & Albina Soultanaeva, 2011. "Influence of news from Moscow and New York on returns and risks of Baltic States’ stock markets," Baltic Journal of Economics, Baltic International Centre for Economic Policy Studies, vol. 11(1), pages 109-124, July.
    18. Ginger M. Davis & Katherine B. Ensor, 2007. "Multivariate Time-Series Analysis With Categorical and Continuous Variables in an Lstr Model," Journal of Time Series Analysis, Wiley Blackwell, vol. 28(6), pages 867-885, November.
    19. Abbas Valadkhani & Martin O'Brien & Amir Arjomandi, 2013. "Examining the nature of the relationship between Tapis crude oil and Singapore petrol prices," International Journal of Global Energy Issues, Inderscience Enterprises Ltd, vol. 36(1), pages 27-41.
    20. Abbas Valadkhani & Amir Arjomandi & Martin O'Brien, 2013. "Does the interest rate for business loans respond asymmetrically to changes in the cash rate?," Applied Economics Letters, Taylor & Francis Journals, vol. 20(9), pages 869-874, June.
    21. Forslund, Anders & Kolm, Ann-Sofie, 2000. "Active labour market policies and real-wage determination - Swedish evidence," Working Paper Series 2000:7, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    22. Brännäs, Kurt & Soultanaeva, Albina, 2006. "Influence of News in Moscow and New York on Returns and Risks on Baltic State Stock Indices," Umeå Economic Studies 696, Umeå University, Department of Economics.
    23. Schorderet, Yann, 2001. "Revisiting Okun's Law: An Hysteretic Perspective," University of California at San Diego, Economics Working Paper Series qt2fb7n2wd, Department of Economics, UC San Diego.
    24. Gunnar Bårdsen & Stan Hurn & Zoë McHugh, 2002. "A smooth-transition model of the Australian unemployment rate," Working Paper Series 1002, Department of Economics, Norwegian University of Science and Technology, revised 01 Jul 2003.

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