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Testing for serial correlation in the presence of dynamic heteroscedasticity

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  • Paramsothy Silvapulle
  • Merran Evans

Abstract

Standard serial correlation tests are derived assuming that the disturbances are homoscedastic, but this study shows that asympotic critical values are not accurate when this assumption is violated. Asymptotic critical values for the ARCH(2)-corrected LM, BP and BL tests are valid only when the underlying ARCH process is strictly stationary, whereas Wooldridge's robust LM test has good properties overall. These tests exhibit similar bahaviour even when the underlying process is GARCH (1,1). When the regressors include lagged dependent variables, the rejection frequencies under both the null and alternative hypotheses depend on the coefficientsof the lagged dependent variables and the other model parameters. They appear to be robust across various disturbance distributions under the null hypothesis.

Suggested Citation

  • Paramsothy Silvapulle & Merran Evans, 1998. "Testing for serial correlation in the presence of dynamic heteroscedasticity," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 31-55.
    • Handle: RePEc:taf:emetrv:v:17:y:1998:i:1:p:31-55
    DOI: 10.1080/07474939808800402
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    Citations

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    Cited by:

    1. Raunig Burkhard & Scharler Johann, 2009. "Money Market Uncertainty and Retail Interest Rate Fluctuations: A Cross-Country Comparison," German Economic Review, De Gruyter, vol. 10(2), pages 176-192, May.
    2. Yoshiro Tsutsui & Kenjiro Hirayama, 2010. "How Fast Do Tokyo And New York Stock Exchanges Respond To Each Other? An Analysis With High‐Frequency Data," The Japanese Economic Review, Japanese Economic Association, vol. 61(2), pages 175-201, June.
    3. L. G. Godfrey & M. R. Veal, 2000. "Alternative approaches to testing by variable addition," Econometric Reviews, Taylor & Francis Journals, vol. 19(2), pages 241-261.
    4. Godfrey, L.G. & Tremayne, A.R., 2005. "The wild bootstrap and heteroskedasticity-robust tests for serial correlation in dynamic regression models," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 377-395, April.
    5. Burkhard Raunig & Johann Scharler, 2009. "Money Market Uncertainty and Retail Interest Rate Fluctuations: A Cross-Country Comparison," German Economic Review, Verein für Socialpolitik, vol. 10, pages 176-192, May.
    6. Manabu Asai & Michael McAleer, 2005. "Dynamic Asymmetric Leverage in Stochastic Volatility Models," Econometric Reviews, Taylor & Francis Journals, vol. 24(3), pages 317-332.

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