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A Note on Implementing Box-Cox Quantile Regression

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  • 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. --

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Bibliographic Info

Paper provided by ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research in its series ZEW Discussion Papers with number 04-61 [rev.].

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Date of creation: 2005
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Handle: RePEc:zbw:zewdip:7181

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Keywords: Box-Cox quantile regression; iterative estimator;

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References

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  1. Fitzenberger, Bernd, 1998. "The moving blocks bootstrap and robust inference for linear least squares and quantile regressions," Journal of Econometrics, Elsevier, vol. 82(2), pages 235-287, February.
  2. Jose A. F. Machado & Jose Mata, 2000. "Box-Cox quantile regression and the distribution of firm sizes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 15(3), pages 253-274.
  3. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
  4. Koenker, Roger & Park, Beum J., 1996. "An interior point algorithm for nonlinear quantile regression," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 265-283.
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Cited by:
  1. Fitzenberger, Bernd & Wilke, Ralf A., 2005. "Using Quantile Regression for Duration Analysis," ZEW Discussion Papers 05-65, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  2. Boockmann, Bernhard & Steffes, Susanne, 2007. "Seniority and Job Stability: A Quantile Regression Approach Using Matched Employer-Employee Data," ZEW Discussion Papers 07-014, ZEW - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  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 - Zentrum für Europäische Wirtschaftsforschung / Center for European Economic Research.
  4. 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].

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