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Wild-bootstrapped variance-ratio test for autocorrelation in the presence of heteroskedasticity

  • Jinook Jeong
  • Byunguk Kang

The Breusch--Godfrey 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 a regression model. Recently, remedies have been proposed by Godfrey and Tremayne [9] and Shim et al. [21]. This paper suggests three wild-bootstrapped variance-ratio (WB-VR) tests for autocorrelation in the presence of heteroskedasticity. We show through a Monte Carlo simulation that our WB-VR tests have better small sample properties and are robust to the structure of heteroskedasticity.

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File URL: http://hdl.handle.net/10.1080/02664763.2012.658360
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Article provided by Taylor & Francis Journals in its journal Journal of Applied Statistics.

Volume (Year): 39 (2012)
Issue (Month): 7 (January)
Pages: 1531-1542

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Handle: RePEc:taf:japsta:v:39:y:2012:i:7:p:1531-1542
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  1. Andrew W. Lo & A. Craig MacKinlay, 1987. "Stock Market Prices Do Not Follow Random Walks: Evidence From a Simple Specification Test," NBER Working Papers 2168, National Bureau of Economic Research, Inc.
  2. Andrew W. Lo & A. Craig MacKinlay, 1988. "The Size and Power of the Variance Ratio Test in Finite Samples: A Monte Carlo Investigation," NBER Technical Working Papers 0066, National Bureau of Economic Research, Inc.
  3. Davidson, R. & Flachaire, E., 1999. "The Wild Bootstrap, Tamed at Last," G.R.E.Q.A.M. 99a32, Universite Aix-Marseille III.
  4. 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.
  5. Emmanuel Flachaire, 2005. "Bootstrapping heteroskedastic regression models: wild bootstrap vs. pairs bootstrap," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00175910, HAL.
  6. 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.
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