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A new approach to bootstrap inference in functional coefficient models

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  • Herwartz, Helmut
  • Xu, Fang
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Abstract

We introduce a new, factor based bootstrap approach which is robust under heteroskedastic error terms for inference in functional coefficient models. Modeling the functional coefficient parametrically, the bootstrap approximation of an F statistic is shown to hold asymptotically. In simulation studies with both parametric and nonparametric functional coefficients, factor based bootstrap inference outperforms the wild bootstrap and pairs bootstrap approach according to its size features. Applying the functional coefficient model to a cross sectional investment regression on savings, the saving retention coefficient is found to depend on third variables as the population growth rate and the openness ratio. --

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Bibliographic Info

Paper provided by Christian-Albrechts-University of Kiel, Department of Economics in its series Economics Working Papers with number 2007,15.

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Date of creation: 2007
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Handle: RePEc:zbw:cauewp:5614

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Keywords: Bootstrap; heteroskedasticity; functional coefficient models; Feldstein-Horioka puzzle;

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  1. Horowitz, Joel L. & Härdle, Wolfgang, 1994. "Testing a Parametric Model Against a Semiparametric Alternative," Econometric Theory, Cambridge University Press, vol. 10(05), pages 821-848, December.
  2. Davidson, Russell & Flachaire, Emmanuel, 2008. "The wild bootstrap, tamed at last," Journal of Econometrics, Elsevier, vol. 146(1), pages 162-169, September.
  3. Feldstein, Martin & Horioka, Charles, 1980. "Domestic Saving and International Capital Flows," Economic Journal, Royal Economic Society, vol. 90(358), pages 314-29, June.
  4. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
  5. Horowitz, J.L., 1992. "Testing a Parametric Model Against a Semiparametric Alternative," Papers 9219, Tilburg - Center for Economic Research.
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Cited by:
  1. Herwartz, H. & Xu, F., 2010. "A functional coefficient model view of the Feldstein-Horioka puzzle," Journal of International Money and Finance, Elsevier, vol. 29(1), pages 37-54, February.
  2. Herwartz, Helmut & Walle, Yabibal M., 2014. "Determinants of the link between financial and economic development: Evidence from a functional coefficient model," Economic Modelling, Elsevier, vol. 37(C), pages 417-427.
  3. Helmut Herwartz & Israel Waichman, 2010. "A comparison of bootstrap and Monte-Carlo testing approaches to value-at-risk diagnosis," Computational Statistics, Springer, vol. 25(4), pages 725-732, December.
  4. Steffen Ahrens & Matthias Hartmann, 2014. "State-dependence vs. Time-dependence: An Empirical Multi-Country Investigation of Price Sluggishness," Kiel Working Papers 1907, Kiel Institute for the World Economy.

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