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The Bi-parameter Smooth Transition Autoregressive model

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  • Boriss Siliverstovs

    (DIW Berlin)

Abstract

The present paper introduces the Bi-parameter Smooth Transition Autoregressive (BSTAR) model that generalizes the LSTR2 model, see Terasvirta (1998). In contrast to the LSTR2 model, which features the symmetric transition function, the BSTAR model is characterized by the asymmetric transition function which implies different local dynamics in the neighborhood of the respective location parameters. An empirical example using the time series of the annual growth rates of the Italian industrial production index is provided.

Suggested Citation

  • Boriss Siliverstovs, 2005. "The Bi-parameter Smooth Transition Autoregressive model," Economics Bulletin, AccessEcon, vol. 3(23), pages 1-11.
    • Handle: RePEc:ebl:ecbull:eb-05c50003
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    1. Xue, Licun, 2002. "Stable agreements in infinitely repeated games," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 165-176, March.
    2. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
    3. Elliott, Graham & Jansson, Michael, 2003. "Testing for unit roots with stationary covariates," Journal of Econometrics, Elsevier, vol. 115(1), pages 75-89, July.
    4. Rosholm, Michael & Svarer, Michael, 2001. "Structurally dependent competing risks," Economics Letters, Elsevier, vol. 73(2), pages 169-173, November.
    5. Lundbergh, Stefan & Terasvirta, Timo & van Dijk, Dick, 2003. "Time-Varying Smooth Transition Autoregressive Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(1), pages 104-121, January.
    6. Niels Haldrup & Peter Lildholdt, 2005. "Local power functions of tests for double unit roots," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 59(2), pages 159-179, May.
    7. Bo Sandemann Rasmussen, "undated". "Government Debt and Capital Accumulation in the Blanchard-Cass-Yaari OLG Model," Economics Working Papers 2000-14, Department of Economics and Business Economics, Aarhus University.
    8. repec:bla:jecsur:v:13:y:1999:i:5:p:505-28 is not listed on IDEAS
    9. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-484, November.
    10. Simon Potter, 1999. "Nonlinear Time Series Modelling: An Introduction," Journal of Economic Surveys, Wiley Blackwell, vol. 13(5), pages 505-528, December.
    11. Jamsheed Shorish, "undated". "Quasi-Static Macroeconomic Systems," Economics Working Papers 2000-3, Department of Economics and Business Economics, Aarhus University.
    12. Martin Paldam, 2001. "Corruption and Religion Adding to the Economic Model," Kyklos, Wiley Blackwell, vol. 54(2‐3), pages 383-413, May.
    13. Godfrey, Leslie G, 1978. "Testing for Higher Order Serial Correlation in Regression Equations When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1303-1310, November.
    14. Skalin, Joakim & Teräsvirta, Timo, 2002. "Modeling Asymmetries And Moving Equilibria In Unemployment Rates," Macroeconomic Dynamics, Cambridge University Press, vol. 6(2), pages 202-241, April.
    15. Niels Haldrup & Peter Lildholdt, 2002. "On the Robustness of Unit Root Tests in the Presence of Double Unit Roots," Journal of Time Series Analysis, Wiley Blackwell, vol. 23(2), pages 155-171, March.
    16. Jansen, Eilev S & Terasvirta, Timo, 1996. "Testing Parameter Constancy and Super Exogeneity in Econometric Equations," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 735-763, November.
    17. Huizinga, F & Schiantarelli, Fabio, 1992. "Dynamics and Asymmetric Adjustment in Insider-Outsider Models," Economic Journal, Royal Economic Society, vol. 102(415), pages 1451-1466, November.
    18. Effrosyni Diamantoudi & Licun Xue, 2003. "Farsighted stability in hedonic games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 21(1), pages 39-61, August.
    19. Terasvirta, T & Anderson, H M, 1992. "Characterizing Nonlinearities in Business Cycles Using Smooth Transition Autoregressive Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 119-136, Suppl. De.
    20. Ebbe Yndgaard, "undated". "Labour, An Equivocal Concept for Economic Analyses," Economics Working Papers 2000-5, Department of Economics and Business Economics, Aarhus University.
    21. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-1042, November.
    22. David Andolfatto, 1997. "Evidence and Theory on the Cyclical Asymmetry in Unemployment Rate Fluctuations," Canadian Journal of Economics, Canadian Economics Association, vol. 30(3), pages 709-721, August.
    23. Engle, Robert F, 1982. "Autoregressive Conditional Heteroscedasticity with Estimates of the Variance of United Kingdom Inflation," Econometrica, Econometric Society, vol. 50(4), pages 987-1007, July.
    24. James Peery Cover, 1992. "Asymmetric Effects of Positive and Negative Money-Supply Shocks," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(4), pages 1261-1282.
    25. Licun Xue, "undated". "A Notion of Consistent Rationalizability - Between Weak and Pearce's Extensive Form Rationalizability," Economics Working Papers 2000-4, Department of Economics and Business Economics, Aarhus University.
    26. Jackman, Richard & Sutton, John, 1982. "Imperfect Capital Markets and the Monetarist Black Box: Liquidity Constraints, Inflation and the Asymmetric Effects of Interest Rate Policy," Economic Journal, Royal Economic Society, vol. 92(365), pages 108-128, March.
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