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Unit Roots versus Other Types of Time Heterogeneity, Parameter Time Dependence and Superexogeneity

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  • Caporale, Guglielmo Maria
  • Pittis, Nikitas

Abstract

This paper stresses the restrictive nature of the standard unit root/cointegration assumptions and examines a more general type of time heterogeneity, which might characterize a number of economic variables, and which results in parameter time dependence and misleading statistical inference. We show that in such cases "operational" models cannot be obtained, and the estimation of time-varying parameter models becomes necessary. For instance, economic processes subject to endemic change can only be adequately modelled in a state space form. This is a very important point, because unstable models will break down when used for forecasting purposes. We also discuss a new test for the null of cointegration developed by Quintos and Phillips (1993), which is based on parameter constancy in cointegrating regressions. Finally, we point out that, if it is possible to condition on a subset of superexogenous variables, parameter instability can be handled by estimating a restricted system. Copyright © 2002 by John Wiley & Sons, Ltd.

Suggested Citation

  • Caporale, Guglielmo Maria & Pittis, Nikitas, 2002. "Unit Roots versus Other Types of Time Heterogeneity, Parameter Time Dependence and Superexogeneity," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 21(3), pages 207-223, April.
  • Handle: RePEc:jof:jforec:v:21:y:2002:i:3:p:207-23
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    Cited by:

    1. Guglielmo Maria Caporale & Christoph Hanck, 2009. "Cointegration tests of PPP: do they also exhibit erratic behaviour?," Applied Economics Letters, Taylor & Francis Journals, vol. 16(1), pages 9-15.
    2. Costas Anyfantakis & Guglielmo Maria Caporale & Nikitas Pittis, 2008. "Parameter instability and forecasting performance: a Monte Carlo study," International Journal of Business Forecasting and Marketing Intelligence, Inderscience Enterprises Ltd, vol. 1(1), pages 1-20.
    3. Caporale, Guglielmo Maria & Pittis, Nikitas & Sakellis, Panayiotis, 2003. "Testing for PPP: the erratic behaviour of unit root tests," Economics Letters, Elsevier, vol. 80(2), pages 277-284, August.

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