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On the size and power of normalized autocorrelation coefficients


  • Andy Kwan
  • Ah-Boon Sim
  • Yangru Wu


Tests based on normalized autocorrelation coefficients have been commonly used by applied researchers to examine the randomness of economic and financial time series. This paper investigates via Monte Carlo simulation the finite-sample properties of these tests for randomness, paying special attention to empirical sizes and power levels. Monte Carlo simulation results indicate that parametric autocorrelation coefficients suffer from severe size distortions, namely their empirical sizes are often too small in the case of nonnormal distributions. However, these size distortions are well corrected by nonparametric autocorrelation coefficient proposed previously. Moreover, the power levels of the nonparametric test are very close to those of the parametric tests in commonly used samples, suggesting that there is no noticeable loss from using this 'robust autocorrelation' test in the area of testing for the randomness of a time series. On the whole, results strongly favour the use of the nonparametric autocorrelation coefficient in empirical applications.

Suggested Citation

  • Andy Kwan & Ah-Boon Sim & Yangru Wu, 2005. "On the size and power of normalized autocorrelation coefficients," Applied Financial Economics, Taylor & Francis Journals, vol. 15(1), pages 1-11.
  • Handle: RePEc:taf:apfiec:v:15:y:2005:i:1:p:1-11
    DOI: 10.1080/0960310042000236149

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    References listed on IDEAS

    1. Kwan, Andy C. C. & Sim, Ah-Boon, 1996. "Portmanteau tests of randomness and Jenkins' variance-stabilizing transformation," Economics Letters, Elsevier, vol. 50(1), pages 41-49, January.
    2. Dufour, J.M. & Roy, R., 1985. "Generalized Portmanteau Statistics and Tests of Randomness," Cahiers de recherche 8540, Universite de Montreal, Departement de sciences economiques.
    3. Dufour, Jean-Marie & Roy, Roch, 1985. "Some robust exact results on sample autocorrelations and tests of randomness," Journal of Econometrics, Elsevier, vol. 29(3), pages 257-273, September.
    4. Rothenberg, Thomas J. & Stock, James H., 1997. "Inference in a nearly integrated autoregressive model with nonnormal innovations," Journal of Econometrics, Elsevier, vol. 80(2), pages 269-286, October.
    5. Granger, Clive W. J., 1992. "Forecasting stock market prices: Lessons for forecasters," International Journal of Forecasting, Elsevier, vol. 8(1), pages 3-13, June.
    6. Marc Hallin & Jean-Fran├žois Ingenbleek & Madan Lal Puri, 1987. "Linear and quadratic serial rank tests for randomness against serial dependence," ULB Institutional Repository 2013/2009, ULB -- Universite Libre de Bruxelles.
    7. Nelson, Harold Jr. & Granger, C. W. J., 1979. "Experience with using the Box-Cox transformation when forecasting economic time series," Journal of Econometrics, Elsevier, vol. 10(1), pages 57-69, April.
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