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Higher-order residual analysis for AR-ARCH models with the TR test

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  • Jorge Belaire-Franch
  • Dulce Contreras

Abstract

Ramsey and Rothman (1996) design a statistical device to test for time reversibility (TR test). They claim that their procedure is not powerful against ARCH-type alternatives, which also allows Rothman (1998) to propose a strategy based on the TR test to detect bilinear and threshold autoregressive (TAR) models. However, this work shows through Monte Carlo analysis that the size of the TR test may be seriously distorted by this class of uncorrelated non-i.i.d. processes, and not necessarily time irreversible.

Suggested Citation

  • Jorge Belaire-Franch & Dulce Contreras, 2002. "Higher-order residual analysis for AR-ARCH models with the TR test," Applied Economics Letters, Taylor & Francis Journals, vol. 9(11), pages 749-752.
    • Handle: RePEc:taf:apeclt:v:9:y:2002:i:11:p:749-752
    DOI: 10.1080/13504850210127263
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    References listed on IDEAS

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    1. 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.
    2. Rothman Philip, 1997. "FORTRAN Programs for Running the TR Test: A Guide and Examples," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 1(4), pages 1-8, January.
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    Cited by:

    1. Steven Cook & Alan Speight, 2006. "International Business Cycle Asymmetry and Time Irreversible Nonlinearities," Journal of Applied Statistics, Taylor & Francis Journals, vol. 33(10), pages 1051-1065.
    2. Steven Cook & Alan Speight, 2007. "Time Irreversibility in Consumers' Expenditure: An Analysis of Disaggregated Data," International Review of Applied Economics, Taylor & Francis Journals, vol. 21(4), pages 561-575.

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