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A Note on Implementing Box-Cox Quantile Regression

Author

Listed:
  • Wilke, Ralf A.
  • Fitzenberger, Bernd
  • Zhang, Xuan

Abstract

The Box-Cox quantile regression model using the two stage method suggested by Chamberlain (1994) and Buchinsky (1995) provides a flexible and numerically attractive extension of linear quantile regression techniques. However, the objective function in stage two of the method may not exists. We suggest a simple modification of the estimator which is easy to implement. The modified estimator is still pn{consistent and we derive its asymptotic distribution. A simulation study confirms that the modified estimator works well in situations, where the original estimator is not well defined.

Suggested Citation

  • Wilke, Ralf A. & Fitzenberger, Bernd & Zhang, Xuan, 2005. "A Note on Implementing Box-Cox Quantile Regression," ZEW Discussion Papers 04-61 [rev.], ZEW - Leibniz Centre for European Economic Research.
    • Handle: RePEc:zbw:zewdip:7181
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    Cited by:

    1. is not listed on IDEAS
    2. Ludsteck, Johannes & Jacobebbinghaus, Peter, 2005. "Strike activity and centralisation in wage setting," IAB-Discussion Paper 200522, Institut für Arbeitsmarkt- und Berufsforschung (IAB), Nürnberg [Institute for Employment Research, Nuremberg, Germany].
    3. Fitzenberger, Bernd & Wilke, Ralf A., 2007. "New insights on unemployment duration and post unemployment earnings in Germany: censored Box-Cox quantile regression at work," ZEW Discussion Papers 07-007, ZEW - Leibniz Centre for European Economic Research.
    4. Boockmann, Bernhard & Steffes, Susanne, 2007. "Seniority and Job Stability: A Quantile Regression Approach Using Matched Employer-Employee Data," ZEW Discussion Papers 07-014, ZEW - Leibniz Centre for European Economic Research.
    5. Bernd Fitzenberger & Ralf A. Wilke, 2006. "Using Quantile Regression for Duration Analysis," Springer Books, in: Olaf Hübler & Jachim Frohn (ed.), Modern Econometric Analysis, chapter 8, pages 103-118, Springer.

    More about this item

    Keywords

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    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General

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