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A power comparison among tests for time reversibility

Author

Listed:
  • Jorge Belaire-Franch

    (Department of Economic Analysis, University of Valencia)

  • Dulce Contreras

    (Department of Economic Analysis, University of Valencia)

Abstract

Since time reversibility (TR) is a necessary condition for an independent and identically distributed (iid) sequence, several tests for TR have been suggested to be applied as tests for model misspecification. In this paper, we compare the power of two well known TR tests against two situations: 1) the fitted model is a linear ARMA when the true data generating process is a nonlinear-in-mean model (either threshold autorregresive or bilinear), and 2) the fitted model is a symmetric GARCH model but the true process belongs to the asymmetric GARCH family (either EGARCH or GJR).

Suggested Citation

  • Jorge Belaire-Franch & Dulce Contreras, 2004. "A power comparison among tests for time reversibility," Economics Bulletin, AccessEcon, vol. 3(23), pages 1-17.
    • Handle: RePEc:ebl:ecbull:eb-04c40003
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    References listed on IDEAS

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    3. Ramsey, James B & Rothman, Philip, 1996. "Time Irreversibility and Business Cycle Asymmetry," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 28(1), pages 1-21, February.
    4. Brooks, Chris & Henry, Olan T., 2000. "Can portmanteau nonlinearity tests serve as general mis-specification tests?: Evidence from symmetric and asymmetric GARCH models," Economics Letters, Elsevier, vol. 67(3), pages 245-251, June.
    5. Engle, Robert F & Ng, Victor K, 1993. "Measuring and Testing the Impact of News on Volatility," Journal of Finance, American Finance Association, vol. 48(5), pages 1749-1778, December.
    6. Philip Rothman, "undated". "Higher-Order Residual Analysis for Simple Bilinear and Threshold Autoregressive Models with the TR Test," Working Papers 9813, East Carolina University, Department of Economics.
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