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Testing for common deterministic trend slopes

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Author Info
T.J. Vogelsang ()
P.H. Franses () (FEW-Econometrie en besliskunde)

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Abstract

We propose tests for hypotheses on the parameter for deterministic trends. The model framework assumes a multivarariat stucture for trend-stationary time series variables. We derive the asymptotic theory and provide some relevant critical values. Monte Carlo simulations suggest which tests are more useful in practice than others. We apply our tests to examine if monthly temperatures in the Netherlands, measured from 1706 onwards, have a trend and if these trends are the same across months. We find that the January and March temperatures have the same upward trend, that the September temperature has decreased and that the temperatures in the other months do not have a trend. Hence, only winters in the Netherlands seem to get warmer.

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Paper provided by Erasmus University Rotterdam, Econometric Institute in its series Econometric Institute Report with number 224.

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Date of creation: 2001
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Handle: RePEc:dgr:eureir:2001224

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Related research
Keywords: Deterministic trends Hypothesis testing Monthly temperatures Multivariate trend function testing;

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This paper has been announced in the following NEP Reports: References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Newey, Whitney K & West, Kenneth D, 1987. "A Simple, Positive Semi-definite, Heteroskedasticity and Autocorrelation Consistent Covariance Matrix," Econometrica, Econometric Society, vol. 55(3), pages 703-08, May. [Downloadable!] (restricted)
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  2. Loewy, Michael B. & Papell, David H., 1996. "Are U.S. regional incomes converging? Some further evidence," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 587-598, December. [Downloadable!] (restricted)
  3. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May. [Downloadable!] (restricted)
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  4. Perron, P., 1991. "A Test for Changes in a Polynomial Trend Functions for a Dynamioc Time Series," Papers 363, Princeton, Department of Economics - Econometric Research Program.
  5. Nicholas M. Kiefer & Timothy J. Vogelsang & Helle Bunzel, 2000. "Simple Robust Testing of Regression Hypotheses," Econometrica, Econometric Society, vol. 68(3), pages 695-714, May.
  6. Peter C.B. Phillips, 1987. "Multiple Regression with Integrated Time Series," Cowles Foundation Discussion Papers 852, Cowles Foundation, Yale University. [Downloadable!]
  7. Eugene Canjels & Mark W. Watson, 1997. "Estimating Deterministic Trends In The Presence Of Serially Correlated Errors," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 184-200, May. [Downloadable!] (restricted)
  8. Kiefer, Nicholas M., 2001. "Heteroskedasticity-Autocorrelation Robust Standard Errors Using the Bartlett Kernel without Truncation," Working Papers 01-13, Cornell University, Center for Analytic Economics. [Downloadable!]
  9. Timothy J. Vogelsang & Marc Tomljanovich, 2002. "Are U.S. regions converging? Using new econometric methods to examine old issues," Empirical Economics, Springer, vol. 27(1), pages 49-62. [Downloadable!] (restricted)
  10. Donald W.K. Andrews & Christopher J. Monahan, 1990. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Cowles Foundation Discussion Papers 942, Cowles Foundation, Yale University. [Downloadable!]
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  11. Fomby, Tom & Vogelsang, Tim, 2000. "The Application of Size Robust Trend Analysis to Global Warming Temperature Series," Working Papers 00-08, Cornell University, Center for Analytic Economics. [Downloadable!]
  12. Vogelsang, Timothy J., 1997. "Wald-Type Tests for Detecting Breaks in the Trend Function of a Dynamic Time Series," Econometric Theory, Cambridge University Press, vol. 13(06), pages 818-848, December. [Downloadable!]
  13. Nicholas M. Kiefer & Timothy J. Vogelsang, 2002. "Heteroskedasticity-Autocorrelation Robust Standard Errors Using The Bartlett Kernel Without Truncation," Econometrica, Econometric Society, vol. 70(5), pages 2093-2095, September. [Downloadable!] (restricted)
  14. Timothy J. Vogelsang, 1998. "Trend Function Hypothesis Testing in the Presence of Serial Correlation," Econometrica, Econometric Society, vol. 66(1), pages 123-148, January.
  15. Carlino, Gerald & Mills, Leonard, 1996. "Are U.S. regional incomes converging? Reply," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 599-601, December. [Downloadable!] (restricted)
  16. Hobijn, B. & Franses, P.H., 1997. "Asymptotically Perfect and Relative Convergence of productivity," Papers 9725/a, Erasmus University of Rotterdam - Econometric Institute.
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  1. R. Velazquez & A.E. Noriega & L.M. Soria, 2004. "International Evidence on Monetary Neutrality Under Broken Trend Stationary Models," Econometric Society 2004 Latin American Meetings 57, Econometric Society. [Downloadable!]
    Other versions:
  2. H. Peter Boswijk & Philip Hans Franses, 2002. "How Large is Average Economic Growth? Evidence from a Robust Method," Tinbergen Institute Discussion Papers 02-002/4, Tinbergen Institute. [Downloadable!]
  3. Joseph P. Byrne & Roger Perman, 2006. "Unit Roots and Structural Breaks: A Survey of the Literature," Working Papers 2006_10, Department of Economics, University of Glasgow. [Downloadable!]
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