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On the sensitivity of the restricted least squares estimators to covariance misspecification

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  • Alan T.K. Wan
  • Guohua Zou
  • Huaizhen Qin

Abstract

Traditional econometrics has long stressed the serious consequences of non-spherical disturbances for the estimation and testing procedures under the spherical disturbance setting, that is, the procedures become invalid and can give rise to misleading results. In practice, it is not unusual, however, to find that the parameter estimates do not change much after fitting the more general structure. This suggests that the usual procedures may well be robust to covariance misspecification. Banerjee and Magnus (1999) proposed sensitivity statistics to decide if the Ordinary Least Squares estimators of the coefficients and the disturbance variance are sensitive to deviations from the spherical error assumption. This paper extends their work by investigating the sensitivity of the restricted least squares estimator to covariance misspecification where the restrictions may or may not be correct. Large sample results giving analytical evidence to some of the numerical findings reported in Banerjee and Magnus (1999) are also obtained. Copyright Royal Economic Society 2007

Suggested Citation

  • Alan T.K. Wan & Guohua Zou & Huaizhen Qin, 2007. "On the sensitivity of the restricted least squares estimators to covariance misspecification," Econometrics Journal, Royal Economic Society, vol. 10(3), pages 471-487, November.
  • Handle: RePEc:ect:emjrnl:v:10:y:2007:i:3:p:471-487
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    Cited by:

    1. Zhang, Xinyu & Chen, Ti & Wan, Alan T.K. & Zou, Guohua, 2009. "Robustness of Stein-type estimators under a non-scalar error covariance structure," Journal of Multivariate Analysis, Elsevier, vol. 100(10), pages 2376-2388, November.
    2. Qin, Huaizhen & Wan, Alan T.K. & Zou, Guohua, 2009. "On the sensitivity of the one-sided t test to covariance misspecification," Journal of Multivariate Analysis, Elsevier, vol. 100(8), pages 1593-1609, September.
    3. Magnus, Jan R. & Vasnev, Andrey L., 2015. "Interpretation and use of sensitivity in econometrics, illustrated with forecast combinations," International Journal of Forecasting, Elsevier, vol. 31(3), pages 769-781.

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