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Asymptotic Theory of Integrated Conditional Moment Tests

Author

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  • Herman J. Bierens
  • Werner Ploberger

Abstract

In this article, the authors show that a generalized version of H. J. Bierens' integrated conditional moment (ICM) test of functional form has nontrivial root-n local power, where n is the sample size, and that for a class of large local alternatives the consistent ICM test is more powerful than the parametric t test in a neighborhood of the parametric alternative involved. Moreover, they show that, under the assumption of normal errors, the ICM test is asymptotically admissible. Furthermore, since the null distribution of the ICM test is case dependent, the authors derive case-independent upperbounds of the critical values.

Suggested Citation

  • Herman J. Bierens & Werner Ploberger, 1997. "Asymptotic Theory of Integrated Conditional Moment Tests," Econometrica, Econometric Society, vol. 65(5), pages 1129-1152, September.
  • Handle: RePEc:ecm:emetrp:v:65:y:1997:i:5:p:1129-1152
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    References listed on IDEAS

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    1. Wooldridge, Jeffrey M., 1992. "A Test for Functional Form Against Nonparametric Alternatives," Econometric Theory, Cambridge University Press, vol. 8(4), pages 452-475, December.
    2. Tauchen, George, 1985. "Diagnostic testing and evaluation of maximum likelihood models," Journal of Econometrics, Elsevier, vol. 30(1-2), pages 415-443.
    3. Yatchew, Adonis John, 1992. "Nonparametric Regression Tests Based on Least Squares," Econometric Theory, Cambridge University Press, vol. 8(4), pages 435-451, December.
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