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Wild-Bootstrapped Variance Ratio Test for Autocorrelation in the Presence of Heteroskedasticity

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  • Jeong, Jinook
  • Kang, Byunguk

Abstract

The Breusch-Godfrey’s LM test is one of the most popular tests for autocorrelation. However, it has been shown that the LM test may be erroneous when there exist heteroskedastic errors in regression model. Some remedies recently have been proposed by Godfrey and Tremayne (2005) and Shim et al. (2006). This paper suggests wild-bootstrapped variance ratio test for autocorrelation in the presence of heteroskedasticity. We show through a Monte Carlo simulation that our wild-bootstrapped VR test has better small sample properties and is robust to the structure of heteroskedasticity.

Suggested Citation

  • Jeong, Jinook & Kang, Byunguk, 2006. "Wild-Bootstrapped Variance Ratio Test for Autocorrelation in the Presence of Heteroskedasticity," MPRA Paper 9791, University Library of Munich, Germany, revised May 2008.
    • Handle: RePEc:pra:mprapa:9791
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    References listed on IDEAS

    as
    1. Chow, K. Victor & Denning, Karen C., 1993. "A simple multiple variance ratio test," Journal of Econometrics, Elsevier, vol. 58(3), pages 385-401, August.
    2. Andrew W. Lo, A. Craig MacKinlay, 1988. "Stock Market Prices do not Follow Random Walks: Evidence from a Simple Specification Test," The Review of Financial Studies, Society for Financial Studies, vol. 1(1), pages 41-66.
    3. Davidson, Russell & Flachaire, Emmanuel, 2008. "The wild bootstrap, tamed at last," Journal of Econometrics, Elsevier, vol. 146(1), pages 162-169, September.
    4. Lo, Andrew W. & MacKinlay, A. Craig, 1989. "The size and power of the variance ratio test in finite samples : A Monte Carlo investigation," Journal of Econometrics, Elsevier, vol. 40(2), pages 203-238, February.
    5. Kim, Jae H., 2006. "Wild bootstrapping variance ratio tests," Economics Letters, Elsevier, vol. 92(1), pages 38-43, July.
    6. Joo-Yeon Hyun & Hyeong Ho Mun & Tae-Hwan Kim & Jinook Jeong, 2010. "The effect of a variance shift on the Breusch-Godfrey's LM test," Applied Economics Letters, Taylor & Francis Journals, vol. 17(4), pages 399-404.
    7. Flachaire, Emmanuel, 2005. "Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap," Computational Statistics & Data Analysis, Elsevier, vol. 49(2), pages 361-376, April.
    8. Godfrey, Leslie G, 1978. "Testing against General Autoregressive and Moving Average Error Models When the Regressors Include Lagged Dependent Variables," Econometrica, Econometric Society, vol. 46(6), pages 1293-1301, November.
    9. Adrian Pagan, 1986. "Two Stage and Related Estimators and Their Applications," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 53(4), pages 517-538.
    10. 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.
    11. Jushan Bai & Robin L. Lumsdaine & James H. Stock, 1998. "Testing For and Dating Common Breaks in Multivariate Time Series," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 395-432.
    12. Pagan, Adrian, 1984. "Econometric Issues in the Analysis of Regressions with Generated Regressors," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 221-247, February.
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    Cited by:

    1. Sohail Chand & Nuzhat Aftab, 2018. "Modified Variance Ratio Test for Autocorrelation in the Presence of Heteroskedasticity," Lahore Journal of Economics, Department of Economics, The Lahore School of Economics, vol. 23(1), pages 1-19, Jan-June.

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    More about this item

    Keywords

    variance-ratio test; Breusch-Godfrey’s LM test; autocorrelation; heteroskedasticity; wild bootstrap;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General

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