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Further results on optimal critical values of pre-test when estimating the regression error variance


  • Alan T.K. Wan
  • Guohua Zou
  • Kazuhiro Ohtani


This paper enlarges on results of Wan and Zou (Journal of Econometrics 114 (2003), 165--96) on the choice of critical values for pre-test procedures based on the minimum risk criterion. We consider a modification of the general theorem given in Wan and Zou (2003) to obtain the optimal critical value that minimizes the risks of various inequality pre-test estimators of the regression error variance under a general class of first-order differentiable loss functions. Theoretical proofs of earlier numerical results are provided. This paper also presents results on the optimal pre-test critical values for the simultaneous estimation of the error variance and coefficient vector. Copyright Royal Economic Society 2006

Suggested Citation

  • Alan T.K. Wan & Guohua Zou & Kazuhiro Ohtani, 2006. "Further results on optimal critical values of pre-test when estimating the regression error variance," Econometrics Journal, Royal Economic Society, vol. 9(1), pages 159-176, March.
  • Handle: RePEc:ect:emjrnl:v:9:y:2006:i:1:p:159-176

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    Cited by:

    1. Xinyu Zhang & Alan T. K. Wan & Sherry Z. Zhou, 2011. "Focused Information Criteria, Model Selection, and Model Averaging in a Tobit Model With a Nonzero Threshold," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 30(1), pages 132-142, June.
    2. Zhu, Rong & Zhou, Sherry Z.F., 2011. "Estimating the error variance after a pre-test for an interval restriction on the coefficients," Computational Statistics & Data Analysis, Elsevier, vol. 55(7), pages 2312-2323, July.

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