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Nonlinear VAR: Some Theory and an Application to the US GNP and Unemployment

Author

Listed:
  • Altissimo, F.
  • Violante, G.L.

Abstract

A generalization of the endogenous threshold model is developed by extending this class to multivariate framework and to cases where the feedback acts at multiple lags. The feedback is specified, following Beaudry and Koop, by a variable which measures the depth of recessions. We give conditions for the ergodicity of the model and prove strong consistency of the maximum likelihood estimator, although the objective function is discontinuous in the threshold parameter. The model is applied to a bivariate VAR of output growth and changes in the unemployment rate for the US economy.

Suggested Citation

  • Altissimo, F. & Violante, G.L., 1998. "Nonlinear VAR: Some Theory and an Application to the US GNP and Unemployment," Papers 338, Banca Italia - Servizio di Studi.
    • Handle: RePEc:fth:banita:338
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    Cited by:

    1. Dapontas Dimitrios & Evangelopoulos Panagiotis, 2013. "Has the NAFTA Foundation Affected Business Cycles Length? An Introduction," Scientific Annals of Economics and Business, Sciendo, vol. 60(1), pages 145-153, July.
    2. Filippo Altissimo & Giovanni L. Violante, 2001. "The non-linear dynamics of output and unemployment in the U.S," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(4), pages 461-486.
    3. Siviero, S. & Terlizzese, D. & Visco, I., 1999. "Are Model-Based Inflation Forecasts Used in Monetary Policymaking? A Case Study," Papers 357, Banca Italia - Servizio di Studi.
    4. Sella Lisa, 2008. "Old and New Spectral Techniques for Economic Time Series," Department of Economics and Statistics Cognetti de Martiis. Working Papers 200809, University of Turin.

    More about this item

    Keywords

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    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C60 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - General
    • E23 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Production
    • E24 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - Employment; Unemployment; Wages; Intergenerational Income Distribution; Aggregate Human Capital; Aggregate Labor Productivity

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