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Panel Smooth Transition Regression Models

  • Andres Gonzalez

    (Banco de la Republica de Colombia, Stockholm School of Economics)

  • Timo Terasvirta

    (Department of Economic Statistics, Stockholm School of Economics)

  • Dick van Dijk

    (Econometric Institute, Erasmus University Rotterdam)

We develop a non-dynamic panel smooth transition regression model with fixed individual effects. The model is useful for describing heterogenous panels, with regression coefficients that vary across individuals and over time. Heterogeneity is allowed for by assuming that these coefficients are continuous functions of an observable variable through a bounded function of this variable and fluctuate between a limited number (often two) of “extreme regimes”. The model can be viewed as a generalization of the threshold panel model of Hansen (1999). We extend the modelling strategy for univariate smooth transition regression models to the panel context. This comprises of model specification based on homogeneity tests, parameter estimation, and diagnostic checking, including tests for parameter constancy and no remaining nonlinearity. The new model is applied to describe firms’ investment decisions in the presence of capital market imperfections.

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File URL: http://www.business.uts.edu.au/qfrc/research/research_papers/rp165.pdf
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Paper provided by Quantitative Finance Research Centre, University of Technology, Sydney in its series Research Paper Series with number 165.

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Length: 35
Date of creation: 01 Aug 2005
Date of revision:
Handle: RePEc:uts:rpaper:165
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Web page: http://www.qfrc.uts.edu.au/

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  2. Christopher A. Hennessy, 2004. "Tobin's "Q", Debt Overhang, and Investment," Journal of Finance, American Finance Association, vol. 59(4), pages 1717-1742, 08.
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  4. Oivind Anti Nilsen & Fabio Schiantarelli, 1996. "Zeroes and Lumps in Investment: Empirical Evidence on Irreversibilities and Non-Convexities," Boston College Working Papers in Economics 337., Boston College Department of Economics, revised 01 Nov 2000.
  5. van Dijk, D.J.C. & Terasvirta, T. & Franses, Ph.H.B.F., 2000. "Smooth transition autoregressive models - A survey of recent developments," Econometric Institute Research Papers EI 2000-23/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  6. Toni M. Whited, 1990. "Debt, liquidity constraints, and corporate investment: evidence from panel data," Finance and Economics Discussion Series 114, Board of Governors of the Federal Reserve System (U.S.).
  7. 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 104-21, January.
  8. Andrews, Donald W K & Ploberger, Werner, 1994. "Optimal Tests When a Nuisance Parameter Is Present Only under the Alternative," Econometrica, Econometric Society, vol. 62(6), pages 1383-1414, November.
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  10. Xiaoqiang Hu & Fabio Schiantarelli, 1998. "Investment And Capital Market Imperfections: A Switching Regression Approach Using U.S. Firm Panel Data," The Review of Economics and Statistics, MIT Press, vol. 80(3), pages 466-479, August.
  11. Robert B. Davies, 2002. "Hypothesis testing when a nuisance parameter is present only under the alternative: Linear model case," Biometrika, Biometrika Trust, vol. 89(2), pages 484-489, June.
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  14. Arellano, M, 1987. "Computing Robust Standard Errors for Within-Groups Estimators," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 49(4), pages 431-34, November.
  15. Timothy Erickson & Toni M. Whited, 2000. "Measurement Error and the Relationship between Investment and q," Journal of Political Economy, University of Chicago Press, vol. 108(5), pages 1027-1057, October.
  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 735-63, November.
  17. Robert E. Carpenter & Steven M. Fazzari & Bruce C. Petersen, 1994. "Inventory Investment, Internal-Finance Fluctuation, and the Business Cycle," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 25(2), pages 75-138.
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  19. Eitrheim, Oyvind & Terasvirta, Timo, 1996. "Testing the adequacy of smooth transition autoregressive models," Journal of Econometrics, Elsevier, vol. 74(1), pages 59-75, September.
  20. Goffe, William L. & Ferrier, Gary D. & Rogers, John, 1994. "Global optimization of statistical functions with simulated annealing," Journal of Econometrics, Elsevier, vol. 60(1-2), pages 65-99.
  21. R. Glenn Hubbard, 1997. "Capital-Market Imperfections and Investment," NBER Working Papers 5996, National Bureau of Economic Research, Inc.
  22. Joao F. Gomes, 2001. "Financing Investment," American Economic Review, American Economic Association, vol. 91(5), pages 1263-1285, December.
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