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Another example of a non-linear time series with misleading linear properties

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  • J. D. Byers
  • D. A. Peel

Abstract

Granger and Terasvirta provided an abstract example of a non-linear model that can generate data with the misleading linear property of long memory. They suggested that other non-linear models with this property are worth searching for. The empirical results of this article indicate that data generated from an exponential smooth transition autoregressive model can exhibit the long memory property whether in raw or temporally aggregated form.

Suggested Citation

  • J. D. Byers & D. A. Peel, 2003. "Another example of a non-linear time series with misleading linear properties," Applied Economics Letters, Taylor & Francis Journals, vol. 10(1), pages 47-51.
    • Handle: RePEc:taf:apeclt:v:10:y:2003:i:1:p:47-51
    DOI: 10.1080/13504850210161904
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    References listed on IDEAS

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    1. Bar-Ilan, Avner & Blinder, Alan S, 1992. "Consumer Durables: Evidence on the Optimality of Usually Doing Nothing," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 24(2), pages 258-272, May.
    2. Granger, Clive W. J. & Terasvirta, Timo, 1999. "A simple nonlinear time series model with misleading linear properties," Economics Letters, Elsevier, vol. 62(2), pages 161-165, February.
    3. Sargent, Thomas J & Wallace, Neil, 1973. "Rational Expectations and the Dynamics of Hyperinflation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(2), pages 328-350, June.
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    6. Lo, Andrew W, 1991. "Long-Term Memory in Stock Market Prices," Econometrica, Econometric Society, vol. 59(5), pages 1279-1313, September.
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    8. Caballero, Ricardo J, 1995. "Near-Rationality, Heterogeneity, and Aggregate Consumption," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 29-48, February.
    9. Baillie, Richard T & Chung, Ching-Fan & Tieslau, Margie A, 1996. "Analysing Inflation by the Fractionally Integrated ARFIMA-GARCH Model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(1), pages 23-40, Jan.-Feb..
    10. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," The Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-180.
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    Cited by:

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    2. Ahmad, Yamin & Craighead, William D., 2011. "Temporal aggregation and purchasing power parity persistence," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 817-830, September.
    3. David G. McMillan, 2010. "Level‐shifts and non‐linearity in US financial ratios," Review of Accounting and Finance, Emerald Group Publishing Limited, vol. 9(2), pages 189-207, May.
    4. McMillan, David G., 2007. "Bubbles in the dividend-price ratio? Evidence from an asymmetric exponential smooth-transition model," Journal of Banking & Finance, Elsevier, vol. 31(3), pages 787-804, March.
    5. David G. McMillan, 2009. "Are Uk Share Prices Too High? Fundamental Value Or New Era," Bulletin of Economic Research, Wiley Blackwell, vol. 61(1), pages 1-20, January.

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