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Bootstrap Tests for Fractional Cointegration: A Reappraisal of the Relationship Between Government Popularity and Economic Performance in the UK


  • James Davidson

    (Cardiff University)


The paper proposes a new model of fractional cointegration, and considers methods for testing the existence of cointegrating relationships using the parametric bootstrap. In these procedures, ARFIMA time series models fitted to the data, with resampled residuals, are used to simulate the null hypothesis of non-cointegration. The simulations are used to determine p-values for alternative test statistics, including the F goodness-of-fit statistic, the Durbin-Watson, and estimates of the residual d. The tests are applied to the hypothesis that UK government support, shown in previous work to be a nonstationary fractional process, is not explained by indicators of economic performance. The power properties of the tests are studied by simulations of artificial cointegrating relationships based on the sample data. The tests based solely on the regression residuals, which are shown to be inconsistent for nonstationary alternatives, perform poorly relative to the test based on the F statistic.

Suggested Citation

  • James Davidson, 2000. "Bootstrap Tests for Fractional Cointegration: A Reappraisal of the Relationship Between Government Popularity and Economic Performance in the UK," Econometric Society World Congress 2000 Contributed Papers 0324, Econometric Society.
  • Handle: RePEc:ecm:wc2000:0324

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    References listed on IDEAS

    1. Frey, Bruno S & Schneider, Friedrich, 1978. "A Politico-Economic Model of the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(350), pages 243-253, June.
    2. Dufour, Jean-Marie, 2006. "Monte Carlo tests with nuisance parameters: A general approach to finite-sample inference and nonstandard asymptotics," Journal of Econometrics, Elsevier, vol. 133(2), pages 443-477, August.
    3. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-1580, November.
    4. Davidson, James E H, et al, 1978. "Econometric Modelling of the Aggregate Time-Series Relationship between Consumers' Expenditure and Income in the United Kingdom," Economic Journal, Royal Economic Society, vol. 88(352), pages 661-692, December.
    5. James G. MacKinnon, 1990. "Critical Values for Cointegration Tests," Working Papers 1227, Queen's University, Department of Economics.
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