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Testing Serial Independence against Time Irreversibility

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  • Chen Yi-Ting

    (Institute of Social Sciences and Philosophy, Academia Sinica)

Abstract

In this paper we propose a unified framework for testing serial independence against time irreversibility. This framework extends the time reversibility tests of Ramsey and Rothman(1996, Journal of Money, Credit and Banking) and Chen, Chou, and Kuan(2000,Journal of Econometrics) in several important directions. It consists of a pair of original-series-based individual and portmanteau tests and the corresponding model diagnostic checks. The former can be used to detect asymmetries in time series, and the latter can be applied to check if such asymmetries are properly explained by an econometric model. A Monte Carlo simulation shows that the proposed tests perform suitably in finite samples. An empirical example further shows that the proposed method is a useful complement to the conventional independence tests for checking the adequacy of different GARCH models.

Suggested Citation

  • Chen Yi-Ting, 2003. "Testing Serial Independence against Time Irreversibility," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(3), pages 1-30, October.
    • Handle: RePEc:bpj:sndecm:v:7:y:2003:i:3:n:1
    DOI: 10.2202/1558-3708.1114
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    References listed on IDEAS

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    1. Chen, Yi-Ting & Chou, Ray Y. & Kuan, Chung-Ming, 2000. "Testing time reversibility without moment restrictions," Journal of Econometrics, Elsevier, vol. 95(1), pages 199-218, March.
    2. 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.
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    4. Rothman, P, 1992. "The Comparative Power of the TR Test against Simple Threshold Models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(S), pages 187-195, Suppl. De.
    5. A. I. McLeod & W. K. Li, 1983. "Diagnostic Checking Arma Time Series Models Using Squared‐Residual Autocorrelations," Journal of Time Series Analysis, Wiley Blackwell, vol. 4(4), pages 269-273, July.
    6. Bai, Jushan & Ng, Serena, 2001. "A consistent test for conditional symmetry in time series models," Journal of Econometrics, Elsevier, vol. 103(1-2), pages 225-258, July.
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    8. 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.
    9. Marc Hallin & Claude Lefèvre & Madan Lal Puri, 1988. "On time-reversibility and the uniqueness of moving average representations for non-Gaussian stationary time series," ULB Institutional Repository 2013/2017, ULB -- Universite Libre de Bruxelles.
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    Cited by:

    1. Yi-Ting Chen, 2008. "A unified approach to standardized-residuals-based correlation tests for GARCH-type models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(1), pages 111-133.
    2. Shibin Zhang, 2023. "A copula spectral test for pairwise time reversibility," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 75(5), pages 705-729, October.
    3. Chen Yi-Ting & Lin Chang-Ching, 2008. "On the Robustness of Symmetry Tests for Stock Returns," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(2), pages 1-40, May.
    4. Beare, Brendan K. & Seo, Juwon, 2014. "Time Irreversible Copula-Based Markov Models," Econometric Theory, Cambridge University Press, vol. 30(5), pages 923-960, October.
    5. Zacharias Psaradakis, 2008. "Assessing Time‐Reversibility Under Minimal Assumptions," Journal of Time Series Analysis, Wiley Blackwell, vol. 29(5), pages 881-905, September.

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