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The Vector Floor and Ceiling Model

In: Nonlinear Time Series Analysis of Business Cycles

Author

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  • Gary Koop
  • Simon Potter

Abstract

This paper motivates and develops a nonlinear extension of the Vector Autoregressive model which we call the Vector Floor and Ceiling model. Bayesian and classical methods for estimation and testing are developed and compared in the context of an application involving U.S. macroeconomic data. In terms of statistical significance both classical and Bayesian methods indicate that the (Gaussian) linear model is inadequate. Using impulse response functions we investigate the economic significance of the statistical analysis. We find evidence of strong nonlinearities in the contemporaneous relationships between the variables and milder evidence of nonlinearity in the conditional mean.
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Suggested Citation

  • Gary Koop & Simon Potter, 2006. "The Vector Floor and Ceiling Model," Contributions to Economic Analysis, in: Nonlinear Time Series Analysis of Business Cycles, pages 97-131, Emerald Group Publishing Limited.
    • Handle: RePEc:eme:ceazzz:s0573-8555(05)76004-1
    DOI: 10.1016/S0573-8555(05)76004-1
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    Cited by:

    1. Koop, Gary & Korobilis, Dimitris, 2010. "Bayesian Multivariate Time Series Methods for Empirical Macroeconomics," Foundations and Trends(R) in Econometrics, now publishers, vol. 3(4), pages 267-358, July.
    2. Gefang Deborah & Strachan Rodney, 2009. "Nonlinear Impacts of International Business Cycles on the U.K. -- A Bayesian Smooth Transition VAR Approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(1), pages 1-33, December.
    3. Meriam BouAli & Adnen Ben Nasr & Abdelwahed Trabelsi, 2016. "A Nonlinear Approach for Modeling and Forecasting US Business Cycles," International Economic Journal, Taylor & Francis Journals, vol. 30(1), pages 39-74, March.

    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • E30 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - General (includes Measurement and Data)

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